All Superinterfaces:

AnyMatrix

All Known Subinterfaces:

SparseRealMatrix

All Known Implementing Classes:

AbstractRealMatrix, Array2DRowRealMatrix, BlockRealMatrix, OpenMapRealMatrix, RealMatrixImpl
```
public interface RealMatrix
extends AnyMatrix
```
Interface defining a real-valued matrix with basic algebraic operations.
Matrix element indexing is 0-based -- e.g., getEntry(0, 0) returns the element in the first row, first column of the matrix.

Method Summary

All Methods Instance Methods Abstract Methods Deprecated Methods
Modifier and Type	Method	Description
`RealMatrix`	`add(RealMatrix m)`	Compute the sum of this and m.
`void`	`addToEntry(int row, int column, double increment)`	Change an entry in the specified row and column.
`RealMatrix`	`copy()`	Returns a (deep) copy of this.
`void`	`copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination)`	Copy a submatrix.
`void`	`copySubMatrix(int startRow, int endRow, int startColumn, int endColumn, double[][] destination)`	Copy a submatrix.
`RealMatrix`	`createMatrix(int rowDimension, int columnDimension)`	Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
`double[]`	`getColumn(int column)`	Returns the entries in column number `col` as an array.
`RealMatrix`	`getColumnMatrix(int column)`	Returns the entries in column number `column` as a column matrix.
`RealVector`	`getColumnVector(int column)`	Returns the entries in column number `column` as a vector.
`double[][]`	`getData()`	Returns matrix entries as a two-dimensional array.
`double`	`getDeterminant()`	Deprecated. as of release 2.0, replaced by `new LUDecompositionImpl(m).getDeterminant()`
`double`	`getEntry(int row, int column)`	Returns the entry in the specified row and column.
`double`	`getFrobeniusNorm()`	Returns the Frobenius norm of the matrix.
`double`	`getNorm()`	Returns the maximum absolute row sum norm of the matrix.
`double[]`	`getRow(int row)`	Returns the entries in row number `row` as an array.
`RealMatrix`	`getRowMatrix(int row)`	Returns the entries in row number `row` as a row matrix.
`RealVector`	`getRowVector(int row)`	Returns the entries in row number `row` as a vector.
`RealMatrix`	`getSubMatrix(int[] selectedRows, int[] selectedColumns)`	Gets a submatrix.
`RealMatrix`	`getSubMatrix(int startRow, int endRow, int startColumn, int endColumn)`	Gets a submatrix.
`double`	`getTrace()`	Returns the trace of the matrix (the sum of the elements on the main diagonal).
`RealMatrix`	`inverse()`	Deprecated. as of release 2.0, replaced by `new LUDecompositionImpl(m).getSolver().getInverse()`
`boolean`	`isSingular()`	Deprecated. as of release 2.0, replaced by the boolean negation of `new LUDecompositionImpl(m).getSolver().isNonSingular()`
`RealMatrix`	`multiply(RealMatrix m)`	Returns the result of postmultiplying this by m.
`void`	`multiplyEntry(int row, int column, double factor)`	Change an entry in the specified row and column.
`double[]`	`operate(double[] v)`	Returns the result of multiplying this by the vector `v`.
`RealVector`	`operate(RealVector v)`	Returns the result of multiplying this by the vector `v`.
`double[]`	`preMultiply(double[] v)`	Returns the (row) vector result of premultiplying this by the vector `v`.
`RealMatrix`	`preMultiply(RealMatrix m)`	Returns the result premultiplying this by `m`.
`RealVector`	`preMultiply(RealVector v)`	Returns the (row) vector result of premultiplying this by the vector `v`.
`RealMatrix`	`scalarAdd(double d)`	Returns the result of adding d to each entry of this.
`RealMatrix`	`scalarMultiply(double d)`	Returns the result multiplying each entry of this by d.
`void`	`setColumn(int column, double[] array)`	Sets the entries in column number `column` as a column matrix.
`void`	`setColumnMatrix(int column, RealMatrix matrix)`	Sets the entries in column number `column` as a column matrix.
`void`	`setColumnVector(int column, RealVector vector)`	Sets the entries in column number `column` as a vector.
`void`	`setEntry(int row, int column, double value)`	Set the entry in the specified row and column.
`void`	`setRow(int row, double[] array)`	Sets the entries in row number `row` as a row matrix.
`void`	`setRowMatrix(int row, RealMatrix matrix)`	Sets the entries in row number `row` as a row matrix.
`void`	`setRowVector(int row, RealVector vector)`	Sets the entries in row number `row` as a vector.
`void`	`setSubMatrix(double[][] subMatrix, int row, int column)`	Replace the submatrix starting at `row, column` using data in the input `subMatrix` array.
`double[]`	`solve(double[] b)`	Deprecated. as of release 2.0, replaced by `DecompositionSolver.solve(double[])`
`RealMatrix`	`solve(RealMatrix b)`	Deprecated. as of release 2.0, replaced by `DecompositionSolver.solve(RealMatrix)`
`RealMatrix`	`subtract(RealMatrix m)`	Compute this minus m.
`RealMatrix`	`transpose()`	Returns the transpose of this matrix.
`double`	`walkInColumnOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries in column order.
`double`	`walkInColumnOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries in column order.
`double`	`walkInOptimizedOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries using the fastest possible order.
`double`	`walkInOptimizedOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries using the fastest possible order.
`double`	`walkInRowOrder(RealMatrixChangingVisitor visitor)`	Visit (and possibly change) all matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixChangingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (and possibly change) some matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixPreservingVisitor visitor)`	Visit (but don't change) all matrix entries in row order.
`double`	`walkInRowOrder(RealMatrixPreservingVisitor visitor, int startRow, int endRow, int startColumn, int endColumn)`	Visit (but don't change) some matrix entries in row order.

Methods inherited from interface org.apache.commons.math.linear.AnyMatrix
getColumnDimension, getRowDimension, isSquare

- Method Detail
  - createMatrix
```
RealMatrix createMatrix(int rowDimension,
                        int columnDimension)
```
    Create a new RealMatrix of the same type as the instance with the supplied row and column dimensions.
    
    Parameters:
    
    rowDimension - the number of rows in the new matrix
    
    columnDimension - the number of columns in the new matrix
    
    Returns:
    
    a new matrix of the same type as the instance
    
    Throws:
    
    java.lang.IllegalArgumentException - if row or column dimension is not positive
    
    Since:
    
    2.0
  - copy
```
RealMatrix copy()
```
    Returns a (deep) copy of this.
    
    Returns:
    
    matrix copy
  - add
```
RealMatrix add(RealMatrix m)
        throws java.lang.IllegalArgumentException
```
    Compute the sum of this and m.
    
    Parameters:
    
    m - matrix to be added
    
    Returns:
    
    this + m
    
    Throws:
    
    java.lang.IllegalArgumentException - if m is not the same size as this
  - subtract
```
RealMatrix subtract(RealMatrix m)
             throws java.lang.IllegalArgumentException
```
    Compute this minus m.
    
    Parameters:
    
    m - matrix to be subtracted
    
    Returns:
    
    this - m
    
    Throws:
    
    java.lang.IllegalArgumentException - if m is not the same size as this
  - scalarAdd
```
RealMatrix scalarAdd(double d)
```
    Returns the result of adding d to each entry of this.
    
    Parameters:
    
    d - value to be added to each entry
    
    Returns:
    
    d + this
  - scalarMultiply
```
RealMatrix scalarMultiply(double d)
```
    Returns the result multiplying each entry of this by d.
    
    Parameters:
    
    d - value to multiply all entries by
    
    Returns:
    
    d * this
  - multiply
```
RealMatrix multiply(RealMatrix m)
             throws java.lang.IllegalArgumentException
```
    Returns the result of postmultiplying this by m.
    
    Parameters:
    
    m - matrix to postmultiply by
    
    Returns:
    
    this * m
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension(this) != rowDimension(m)
  - preMultiply
```
RealMatrix preMultiply(RealMatrix m)
                throws java.lang.IllegalArgumentException
```
    Returns the result premultiplying this by m.
    
    Parameters:
    
    m - matrix to premultiply by
    
    Returns:
    
    m * this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension(this) != columnDimension(m)
  - getData
```
double[][] getData()
```
    Returns matrix entries as a two-dimensional array.
    
    Returns:
    
    2-dimensional array of entries
  - getNorm
```
double getNorm()
```
    Returns the maximum absolute row sum norm of the matrix.
    
    Returns:
    
    norm
  - getFrobeniusNorm
```
double getFrobeniusNorm()
```
    Returns the Frobenius norm of the matrix.
    
    Returns:
    
    norm
  - getSubMatrix
```
RealMatrix getSubMatrix(int startRow,
                        int endRow,
                        int startColumn,
                        int endColumn)
                 throws MatrixIndexException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    The subMatrix containing the data of the specified rows and columns
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
  - getSubMatrix
```
RealMatrix getSubMatrix(int[] selectedRows,
                        int[] selectedColumns)
                 throws MatrixIndexException
```
    Gets a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    Returns:
    
    The subMatrix containing the data in the specified rows and columns
    
    Throws:
    
    MatrixIndexException - if row or column selections are not valid
  - copySubMatrix
```
void copySubMatrix(int startRow,
                   int endRow,
                   int startColumn,
                   int endColumn,
                   double[][] destination)
            throws MatrixIndexException,
                   java.lang.IllegalArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    java.lang.IllegalArgumentException - if the destination array is too small
  - copySubMatrix
```
void copySubMatrix(int[] selectedRows,
                   int[] selectedColumns,
                   double[][] destination)
            throws MatrixIndexException,
                   java.lang.IllegalArgumentException
```
    Copy a submatrix. Rows and columns are indicated counting from 0 to n-1.
    
    Parameters:
    
    selectedRows - Array of row indices.
    
    selectedColumns - Array of column indices.
    
    destination - The arrays where the submatrix data should be copied (if larger than rows/columns counts, only the upper-left part will be used)
    
    Throws:
    
    MatrixIndexException - if the indices are not valid
    
    java.lang.IllegalArgumentException - if the destination array is too small
  - setSubMatrix
```
void setSubMatrix(double[][] subMatrix,
                  int row,
                  int column)
           throws MatrixIndexException
```
    Replace the submatrix starting at row, column using data in the input subMatrix array. Indexes are 0-based.
    Example:
    Starting with
    1 2 3 4 5 6 7 8 9 0 1 2
    and subMatrix = {{3, 4} {5,6}}, invoking setSubMatrix(subMatrix,1,1)) will result in
    1 2 3 4 5 3 4 8 9 5 6 2
    Parameters:
    
    subMatrix - array containing the submatrix replacement data
    
    row - row coordinate of the top, left element to be replaced
    
    column - column coordinate of the top, left element to be replaced
    
    Throws:
    
    MatrixIndexException - if subMatrix does not fit into this matrix from element in (row, column)
    
    java.lang.IllegalArgumentException - if subMatrix is not rectangular (not all rows have the same length) or empty
    
    java.lang.NullPointerException - if subMatrix is null
    
    Since:
    
    2.0
  - getRowMatrix
```
RealMatrix getRowMatrix(int row)
                 throws MatrixIndexException
```
    Returns the entries in row number row as a row matrix. Row indices start at 0.
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    row matrix
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
  - setRowMatrix
```
void setRowMatrix(int row,
                  RealMatrix matrix)
           throws MatrixIndexException,
                  InvalidMatrixException
```
    Sets the entries in row number row as a row matrix. Row indices start at 0.
    
    Parameters:
    
    row - the row to be set
    
    matrix - row matrix (must have one row and the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the matrix dimensions do not match one instance row
  - getColumnMatrix
```
RealMatrix getColumnMatrix(int column)
                    throws MatrixIndexException
```
    Returns the entries in column number column as a column matrix. Column indices start at 0.
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    column matrix
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
  - setColumnMatrix
```
void setColumnMatrix(int column,
                     RealMatrix matrix)
              throws MatrixIndexException,
                     InvalidMatrixException
```
    Sets the entries in column number column as a column matrix. Column indices start at 0.
    
    Parameters:
    
    column - the column to be set
    
    matrix - column matrix (must have one column and the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the matrix dimensions do not match one instance column
  - getRowVector
```
RealVector getRowVector(int row)
                 throws MatrixIndexException
```
    Returns the entries in row number row as a vector. Row indices start at 0.
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    row vector
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
  - setRowVector
```
void setRowVector(int row,
                  RealVector vector)
           throws MatrixIndexException,
                  InvalidMatrixException
```
    Sets the entries in row number row as a vector. Row indices start at 0.
    
    Parameters:
    
    row - the row to be set
    
    vector - row vector (must have the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the vector dimension does not match one instance row
  - getColumnVector
```
RealVector getColumnVector(int column)
                    throws MatrixIndexException
```
    Returns the entries in column number column as a vector. Column indices start at 0.
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    column vector
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
  - setColumnVector
```
void setColumnVector(int column,
                     RealVector vector)
              throws MatrixIndexException,
                     InvalidMatrixException
```
    Sets the entries in column number column as a vector. Column indices start at 0.
    
    Parameters:
    
    column - the column to be set
    
    vector - column vector (must have the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the vector dimension does not match one instance column
  - getRow
```
double[] getRow(int row)
         throws MatrixIndexException
```
    Returns the entries in row number row as an array.
    Row indices start at 0. A MatrixIndexException is thrown unless 0 <= row < rowDimension.
    
    Parameters:
    
    row - the row to be fetched
    
    Returns:
    
    array of entries in the row
    
    Throws:
    
    MatrixIndexException - if the specified row index is not valid
  - setRow
```
void setRow(int row,
            double[] array)
     throws MatrixIndexException,
            InvalidMatrixException
```
    Sets the entries in row number row as a row matrix. Row indices start at 0.
    
    Parameters:
    
    row - the row to be set
    
    array - row matrix (must have the same number of columns as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified row index is invalid
    
    InvalidMatrixException - if the array size does not match one instance row
  - getColumn
```
double[] getColumn(int column)
            throws MatrixIndexException
```
    Returns the entries in column number col as an array.
    Column indices start at 0. A MatrixIndexException is thrown unless 0 <= column < columnDimension.
    
    Parameters:
    
    column - the column to be fetched
    
    Returns:
    
    array of entries in the column
    
    Throws:
    
    MatrixIndexException - if the specified column index is not valid
  - setColumn
```
void setColumn(int column,
               double[] array)
        throws MatrixIndexException,
               InvalidMatrixException
```
    Sets the entries in column number column as a column matrix. Column indices start at 0.
    
    Parameters:
    
    column - the column to be set
    
    array - column array (must have the same number of rows as the instance)
    
    Throws:
    
    MatrixIndexException - if the specified column index is invalid
    
    InvalidMatrixException - if the array size does not match one instance column
  - getEntry
```
double getEntry(int row,
                int column)
         throws MatrixIndexException
```
    Returns the entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Parameters:
    
    row - row location of entry to be fetched
    
    column - column location of entry to be fetched
    
    Returns:
    
    matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
  - setEntry
```
void setEntry(int row,
              int column,
              double value)
       throws MatrixIndexException
```
    Set the entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    value - matrix entry to be set in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
    
    Since:
    
    2.0
  - addToEntry
```
void addToEntry(int row,
                int column,
                double increment)
         throws MatrixIndexException
```
    Change an entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    increment - value to add to the current matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
    
    Since:
    
    2.0
  - multiplyEntry
```
void multiplyEntry(int row,
                   int column,
                   double factor)
            throws MatrixIndexException
```
    Change an entry in the specified row and column.
    Row and column indices start at 0 and must satisfy
    
    0 <= row < rowDimension
    
    0 <= column < columnDimension
    
    otherwise a MatrixIndexException is thrown.
    Parameters:
    
    row - row location of entry to be set
    
    column - column location of entry to be set
    
    factor - multiplication factor for the current matrix entry in row,column
    
    Throws:
    
    MatrixIndexException - if the row or column index is not valid
    
    Since:
    
    2.0
  - transpose
```
RealMatrix transpose()
```
    Returns the transpose of this matrix.
    
    Returns:
    
    transpose matrix
  - inverse
```
@Deprecated
RealMatrix inverse()
            throws InvalidMatrixException
```
    Deprecated.
    as of release 2.0, replaced by new LUDecompositionImpl(m).getSolver().getInverse()
    
    Returns the inverse of this matrix.
    
    Returns:
    
    inverse matrix
    
    Throws:
    
    InvalidMatrixException - if this is not invertible
  - getDeterminant
```
@Deprecated
double getDeterminant()
```
    Deprecated.
    as of release 2.0, replaced by new LUDecompositionImpl(m).getDeterminant()
    
    Returns the determinant of this matrix.
    
    Returns:
    
    determinant
  - isSingular
```
@Deprecated
boolean isSingular()
```
    Deprecated.
    as of release 2.0, replaced by the boolean negation of new LUDecompositionImpl(m).getSolver().isNonSingular()
    
    Is this a singular matrix?
    
    Returns:
    
    true if the matrix is singular
  - getTrace
```
double getTrace()
         throws NonSquareMatrixException
```
    Returns the trace of the matrix (the sum of the elements on the main diagonal).
    
    Returns:
    
    trace
    
    Throws:
    
    NonSquareMatrixException - if the matrix is not square
  - operate
```
double[] operate(double[] v)
          throws java.lang.IllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this*v
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension != v.size()
  - operate
```
RealVector operate(RealVector v)
            throws java.lang.IllegalArgumentException
```
    Returns the result of multiplying this by the vector v.
    
    Parameters:
    
    v - the vector to operate on
    
    Returns:
    
    this*v
    
    Throws:
    
    java.lang.IllegalArgumentException - if columnDimension != v.size()
  - preMultiply
```
double[] preMultiply(double[] v)
              throws java.lang.IllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v*this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension != v.size()
  - preMultiply
```
RealVector preMultiply(RealVector v)
                throws java.lang.IllegalArgumentException
```
    Returns the (row) vector result of premultiplying this by the vector v.
    
    Parameters:
    
    v - the row vector to premultiply by
    
    Returns:
    
    v*this
    
    Throws:
    
    java.lang.IllegalArgumentException - if rowDimension != v.size()
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixChangingVisitor visitor)
               throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixPreservingVisitor visitor)
               throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixChangingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)
               throws MatrixIndexException,
                      MatrixVisitorException
```
    Visit (and possibly change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    MatrixIndexException - if the indices are not valid
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInRowOrder
```
double walkInRowOrder(RealMatrixPreservingVisitor visitor,
                      int startRow,
                      int endRow,
                      int startColumn,
                      int endColumn)
               throws MatrixIndexException,
                      MatrixVisitorException
```
    Visit (but don't change) some matrix entries in row order.
    Row order starts at upper left and iterating through all elements of a row from left to right before going to the leftmost element of the next row.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    MatrixIndexException - if the indices are not valid
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixChangingVisitor visitor)
                  throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixPreservingVisitor visitor)
                  throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixChangingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)
                  throws MatrixIndexException,
                         MatrixVisitorException
```
    Visit (and possibly change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    MatrixIndexException - if the indices are not valid
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInColumnOrder
```
double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
                         int startRow,
                         int endRow,
                         int startColumn,
                         int endColumn)
                  throws MatrixIndexException,
                         MatrixVisitorException
```
    Visit (but don't change) some matrix entries in column order.
    Column order starts at upper left and iterating through all elements of a column from top to bottom before going to the topmost element of the next column.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    MatrixIndexException - if the indices are not valid
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixChangingVisitor visitor)
                     throws MatrixVisitorException
```
    Visit (and possibly change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)
                     throws MatrixVisitorException
```
    Visit (but don't change) all matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixChangingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)
                     throws MatrixIndexException,
                            MatrixVisitorException
```
    Visit (and possibly change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by RealMatrixChangingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    MatrixIndexException - if the indices are not valid
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
  - walkInOptimizedOrder
```
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,
                            int startRow,
                            int endRow,
                            int startColumn,
                            int endColumn)
                     throws MatrixIndexException,
                            MatrixVisitorException
```
    Visit (but don't change) some matrix entries using the fastest possible order.
    The fastest walking order depends on the exact matrix class. It may be different from traditional row or column orders.
    
    Parameters:
    
    visitor - visitor used to process all matrix entries
    
    startRow - Initial row index
    
    endRow - Final row index (inclusive)
    
    startColumn - Initial column index
    
    endColumn - Final column index (inclusive)
    
    Returns:
    
    the value returned by RealMatrixPreservingVisitor.end() at the end of the walk
    
    Throws:
    
    MatrixVisitorException - if the visitor cannot process an entry
    
    MatrixIndexException - if the indices are not valid
    
    See Also:
    
    walkInRowOrder(RealMatrixChangingVisitor), walkInRowOrder(RealMatrixPreservingVisitor), walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int), walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixChangingVisitor), walkInColumnOrder(RealMatrixPreservingVisitor), walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int), walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int), walkInOptimizedOrder(RealMatrixChangingVisitor), walkInOptimizedOrder(RealMatrixPreservingVisitor), walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
  - solve
```
@Deprecated
double[] solve(double[] b)
        throws java.lang.IllegalArgumentException,
               InvalidMatrixException
```
    Deprecated.
    as of release 2.0, replaced by DecompositionSolver.solve(double[])
    
    Returns the solution vector for a linear system with coefficient matrix = this and constant vector = b.
    
    Parameters:
    
    b - constant vector
    
    Returns:
    
    vector of solution values to AX = b, where A is *this
    
    Throws:
    
    java.lang.IllegalArgumentException - if this.rowDimension != b.length
    
    InvalidMatrixException - if this matrix is not square or is singular
  - solve
```
@Deprecated
RealMatrix solve(RealMatrix b)
          throws java.lang.IllegalArgumentException,
                 InvalidMatrixException
```
    Deprecated.
    as of release 2.0, replaced by DecompositionSolver.solve(RealMatrix)
    
    Returns a matrix of (column) solution vectors for linear systems with coefficient matrix = this and constant vectors = columns of b.
    
    Parameters:
    
    b - matrix of constant vectors forming RHS of linear systems to to solve
    
    Returns:
    
    matrix of solution vectors
    
    Throws:
    
    java.lang.IllegalArgumentException - if this.rowDimension != row dimension
    
    InvalidMatrixException - if this matrix is not square or is singular

Interface RealMatrix

Method Summary

Methods inherited from interface org.apache.commons.math.linear.AnyMatrix

Method Detail

createMatrix

copy

add

subtract

scalarAdd

scalarMultiply

multiply

preMultiply

getData

getNorm

getFrobeniusNorm

getSubMatrix

getSubMatrix

copySubMatrix

copySubMatrix

setSubMatrix

getRowMatrix

setRowMatrix

getColumnMatrix

setColumnMatrix

getRowVector

setRowVector

getColumnVector

setColumnVector

getRow

setRow

getColumn

setColumn

getEntry

setEntry

addToEntry

multiplyEntry

transpose

inverse

getDeterminant

isSingular

getTrace

operate

operate

preMultiply

preMultiply

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInRowOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInColumnOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

walkInOptimizedOrder

solve

solve