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The Math project is a library of lightweight, self-contained mathematics and statistics components addressing the most common practical problems not immediately available in the Java programming language or commons-lang.
/*
* Licensed to the Apache Software Foundation (ASF) under one or more
* contributor license agreements. See the NOTICE file distributed with
* this work for additional information regarding copyright ownership.
* The ASF licenses this file to You under the Apache License, Version 2.0
* (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
package org.apache.commons.math.linear;
/**
* 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.
*
* @version $Revision: 799906 $ $Date: 2009-08-01 15:01:59 -0400 (Sat, 01 Aug 2009) $
*/
public interface RealMatrix extends AnyMatrix {
/**
* Create a new RealMatrix of the same type as the instance with the supplied
* row and column dimensions.
*
* @param rowDimension the number of rows in the new matrix
* @param columnDimension the number of columns in the new matrix
* @return a new matrix of the same type as the instance
* @throws IllegalArgumentException if row or column dimension is not positive
* @since 2.0
*/
RealMatrix createMatrix(final int rowDimension, final int columnDimension);
/**
* Returns a (deep) copy of this.
*
* @return matrix copy
*/
RealMatrix copy();
/**
* Compute the sum of this and m.
*
* @param m matrix to be added
* @return this + m
* @throws IllegalArgumentException if m is not the same size as this
*/
RealMatrix add(RealMatrix m) throws IllegalArgumentException;
/**
* Compute this minus m.
*
* @param m matrix to be subtracted
* @return this - m
* @throws IllegalArgumentException if m is not the same size as this
*/
RealMatrix subtract(RealMatrix m) throws IllegalArgumentException;
/**
* Returns the result of adding d to each entry of this.
*
* @param d value to be added to each entry
* @return d + this
*/
RealMatrix scalarAdd(double d);
/**
* Returns the result multiplying each entry of this by d.
*
* @param d value to multiply all entries by
* @return d * this
*/
RealMatrix scalarMultiply(double d);
/**
* Returns the result of postmultiplying this by m.
*
* @param m matrix to postmultiply by
* @return this * m
* @throws IllegalArgumentException
* if columnDimension(this) != rowDimension(m)
*/
RealMatrix multiply(RealMatrix m) throws IllegalArgumentException;
/**
* Returns the result premultiplying this by m.
* @param m matrix to premultiply by
* @return m * this
* @throws IllegalArgumentException
* if rowDimension(this) != columnDimension(m)
*/
public RealMatrix preMultiply(RealMatrix m) throws IllegalArgumentException;
/**
* Returns matrix entries as a two-dimensional array.
*
* @return 2-dimensional array of entries
*/
double[][] getData();
/**
* Returns the
* maximum absolute row sum norm of the matrix.
*
* @return norm
*/
double getNorm();
/**
* Returns the
* Frobenius norm of the matrix.
*
* @return norm
*/
double getFrobeniusNorm();
/**
* Gets a submatrix. Rows and columns are indicated
* counting from 0 to n-1.
*
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index (inclusive)
* @return The subMatrix containing the data of the
* specified rows and columns
* @exception MatrixIndexException if the indices are not valid
*/
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.
*
* @param selectedRows Array of row indices.
* @param selectedColumns Array of column indices.
* @return The subMatrix containing the data in the
* specified rows and columns
* @exception MatrixIndexException if row or column selections are not valid
*/
RealMatrix getSubMatrix(int[] selectedRows, int[] selectedColumns)
throws MatrixIndexException;
/**
* Copy a submatrix. Rows and columns are indicated
* counting from 0 to n-1.
*
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index (inclusive)
* @param destination The arrays where the submatrix data should be copied
* (if larger than rows/columns counts, only the upper-left part will be used)
* @exception MatrixIndexException if the indices are not valid
* @exception IllegalArgumentException if the destination array is too small
*/
void copySubMatrix(int startRow, int endRow, int startColumn, int endColumn,
double[][] destination)
throws MatrixIndexException, IllegalArgumentException;
/**
* Copy a submatrix. Rows and columns are indicated
* counting from 0 to n-1.
*
* @param selectedRows Array of row indices.
* @param selectedColumns Array of column indices.
* @param destination The arrays where the submatrix data should be copied
* (if larger than rows/columns counts, only the upper-left part will be used)
* @exception MatrixIndexException if the indices are not valid
* @exception IllegalArgumentException if the destination array is too small
*/
void copySubMatrix(int[] selectedRows, int[] selectedColumns, double[][] destination)
throws MatrixIndexException, IllegalArgumentException;
/**
* 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
*
*
* @param subMatrix array containing the submatrix replacement data
* @param row row coordinate of the top, left element to be replaced
* @param 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)
* @throws IllegalArgumentException if subMatrix is not rectangular
* (not all rows have the same length) or empty
* @throws NullPointerException if subMatrix is null
* @since 2.0
*/
void setSubMatrix(double[][] subMatrix, int row, int column)
throws MatrixIndexException;
/**
* Returns the entries in row number row
* as a row matrix. Row indices start at 0.
*
* @param row the row to be fetched
* @return row matrix
* @throws MatrixIndexException if the specified row index is invalid
*/
RealMatrix getRowMatrix(int row) throws MatrixIndexException;
/**
* Sets the entries in row number row
* as a row matrix. Row indices start at 0.
*
* @param row the row to be set
* @param 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
* @throws InvalidMatrixException if the matrix dimensions do not match one
* instance row
*/
void setRowMatrix(int row, RealMatrix matrix)
throws MatrixIndexException, InvalidMatrixException;
/**
* Returns the entries in column number column
* as a column matrix. Column indices start at 0.
*
* @param column the column to be fetched
* @return column matrix
* @throws MatrixIndexException if the specified column index is invalid
*/
RealMatrix getColumnMatrix(int column) throws MatrixIndexException;
/**
* Sets the entries in column number column
* as a column matrix. Column indices start at 0.
*
* @param column the column to be set
* @param 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
* @throws InvalidMatrixException if the matrix dimensions do not match one
* instance column
*/
void setColumnMatrix(int column, RealMatrix matrix)
throws MatrixIndexException, InvalidMatrixException;
/**
* Returns the entries in row number row
* as a vector. Row indices start at 0.
*
* @param row the row to be fetched
* @return row vector
* @throws MatrixIndexException if the specified row index is invalid
*/
RealVector getRowVector(int row) throws MatrixIndexException;
/**
* Sets the entries in row number row
* as a vector. Row indices start at 0.
*
* @param row the row to be set
* @param vector row vector (must have the same number of columns
* as the instance)
* @throws MatrixIndexException if the specified row index is invalid
* @throws InvalidMatrixException if the vector dimension does not match one
* instance row
*/
void setRowVector(int row, RealVector vector)
throws MatrixIndexException, InvalidMatrixException;
/**
* Returns the entries in column number column
* as a vector. Column indices start at 0.
*
* @param column the column to be fetched
* @return column vector
* @throws MatrixIndexException if the specified column index is invalid
*/
RealVector getColumnVector(int column) throws MatrixIndexException;
/**
* Sets the entries in column number column
* as a vector. Column indices start at 0.
*
* @param column the column to be set
* @param vector column vector (must have the same number of rows as the instance)
* @throws MatrixIndexException if the specified column index is invalid
* @throws InvalidMatrixException if the vector dimension does not match one
* instance column
*/
void setColumnVector(int column, RealVector vector)
throws MatrixIndexException, InvalidMatrixException;
/**
* Returns the entries in row number row as an array.
*
* Row indices start at 0. A MatrixIndexException is thrown
* unless 0 <= row < rowDimension.
*
* @param row the row to be fetched
* @return array of entries in the row
* @throws MatrixIndexException if the specified row index is not valid
*/
double[] getRow(int row) throws MatrixIndexException;
/**
* Sets the entries in row number row
* as a row matrix. Row indices start at 0.
*
* @param row the row to be set
* @param array row matrix (must have the same number of columns as the instance)
* @throws MatrixIndexException if the specified row index is invalid
* @throws InvalidMatrixException if the array size does not match one
* instance row
*/
void setRow(int row, double[] array)
throws MatrixIndexException, InvalidMatrixException;
/**
* Returns the entries in column number col as an array.
*
* Column indices start at 0. A MatrixIndexException is thrown
* unless 0 <= column < columnDimension.
*
* @param column the column to be fetched
* @return array of entries in the column
* @throws MatrixIndexException if the specified column index is not valid
*/
double[] getColumn(int column) throws MatrixIndexException;
/**
* Sets the entries in column number column
* as a column matrix. Column indices start at 0.
*
* @param column the column to be set
* @param array column array (must have the same number of rows as the instance)
* @throws MatrixIndexException if the specified column index is invalid
* @throws InvalidMatrixException if the array size does not match one
* instance column
*/
void setColumn(int column, double[] array)
throws MatrixIndexException, InvalidMatrixException;
/**
* 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.
*
* @param row row location of entry to be fetched
* @param column column location of entry to be fetched
* @return matrix entry in row,column
* @throws MatrixIndexException if the row or column index is not valid
*/
double getEntry(int row, int column) 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.
*
* @param row row location of entry to be set
* @param column column location of entry to be set
* @param value matrix entry to be set in row,column
* @throws MatrixIndexException if the row or column index is not valid
* @since 2.0
*/
void setEntry(int row, int column, double value) 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.
*
* @param row row location of entry to be set
* @param column column location of entry to be set
* @param 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
*/
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.
*
* @param row row location of entry to be set
* @param column column location of entry to be set
* @param 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
*/
void multiplyEntry(int row, int column, double factor) throws MatrixIndexException;
/**
* Returns the transpose of this matrix.
*
* @return transpose matrix
*/
RealMatrix transpose();
/**
* Returns the inverse of this matrix.
*
* @return inverse matrix
* @throws InvalidMatrixException if this is not invertible
* @deprecated as of release 2.0, replaced by
* {@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)
* new LUDecompositionImpl(m)}.{@link LUDecomposition#getSolver()
* getSolver()}.{@link DecompositionSolver#getInverse()
* getInverse()}
*/
@Deprecated
RealMatrix inverse() throws InvalidMatrixException;
/**
* Returns the determinant of this matrix.
*
* @return determinant
* @deprecated as of release 2.0, replaced by
* {@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)
* new LUDecompositionImpl(m)}.{@link LUDecomposition#getDeterminant()
* getDeterminant()}
*/
@Deprecated
double getDeterminant();
/**
* Is this a singular matrix?
* @return true if the matrix is singular
* @deprecated as of release 2.0, replaced by the boolean negation of
* {@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)
* new LUDecompositionImpl(m)}.{@link LUDecomposition#getSolver()
* getSolver()}.{@link DecompositionSolver#isNonSingular()
* isNonSingular()}
*/
@Deprecated
boolean isSingular();
/**
* Returns the
* trace of the matrix (the sum of the elements on the main diagonal).
*
* @return trace
* @throws NonSquareMatrixException if the matrix is not square
*/
double getTrace() throws NonSquareMatrixException;
/**
* Returns the result of multiplying this by the vector v.
*
* @param v the vector to operate on
* @return this*v
* @throws IllegalArgumentException if columnDimension != v.size()
*/
double[] operate(double[] v) throws IllegalArgumentException;
/**
* Returns the result of multiplying this by the vector v.
*
* @param v the vector to operate on
* @return this*v
* @throws IllegalArgumentException if columnDimension != v.size()
*/
RealVector operate(RealVector v) throws IllegalArgumentException;
/**
* Returns the (row) vector result of premultiplying this by the vector v.
*
* @param v the row vector to premultiply by
* @return v*this
* @throws IllegalArgumentException if rowDimension != v.size()
*/
double[] preMultiply(double[] v) throws IllegalArgumentException;
/**
* Returns the (row) vector result of premultiplying this by the vector v.
*
* @param v the row vector to premultiply by
* @return v*this
* @throws IllegalArgumentException if rowDimension != v.size()
*/
RealVector preMultiply(RealVector v) throws IllegalArgumentException;
/**
* 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.
* @param visitor visitor used to process all matrix entries
* @exception MatrixVisitorException if the visitor cannot process an entry
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @exception MatrixVisitorException if the visitor cannot process an entry
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixPreservingVisitor visitor)
throws 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.
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @exception MatrixVisitorException if the visitor cannot process an entry
* @exception MatrixIndexException if the indices are not valid
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @exception MatrixVisitorException if the visitor cannot process an entry
* @exception MatrixIndexException if the indices are not valid
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInRowOrder(RealMatrixPreservingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn)
throws MatrixIndexException, 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.
* @param visitor visitor used to process all matrix entries
* @exception MatrixVisitorException if the visitor cannot process an entry
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @exception MatrixVisitorException if the visitor cannot process an entry
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixPreservingVisitor visitor)
throws 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.
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @exception MatrixVisitorException if the visitor cannot process an entry
* @exception MatrixIndexException if the indices are not valid
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index
* @exception MatrixVisitorException if the visitor cannot process an entry
* @exception MatrixIndexException if the indices are not valid
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInColumnOrder(RealMatrixPreservingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn)
throws MatrixIndexException, 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.
* @param visitor visitor used to process all matrix entries
* @exception MatrixVisitorException if the visitor cannot process an entry
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @exception MatrixVisitorException if the visitor cannot process an entry
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor)
throws 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.
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index (inclusive)
* @exception MatrixVisitorException if the visitor cannot process an entry
* @exception MatrixIndexException if the indices are not valid
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixChangingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixChangingVisitor 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.
* @param visitor visitor used to process all matrix entries
* @param startRow Initial row index
* @param endRow Final row index (inclusive)
* @param startColumn Initial column index
* @param endColumn Final column index (inclusive)
* @exception MatrixVisitorException if the visitor cannot process an entry
* @exception MatrixIndexException if the indices are not valid
* @see #walkInRowOrder(RealMatrixChangingVisitor)
* @see #walkInRowOrder(RealMatrixPreservingVisitor)
* @see #walkInRowOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInRowOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixChangingVisitor)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor)
* @see #walkInColumnOrder(RealMatrixChangingVisitor, int, int, int, int)
* @see #walkInColumnOrder(RealMatrixPreservingVisitor, int, int, int, int)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor)
* @see #walkInOptimizedOrder(RealMatrixPreservingVisitor)
* @see #walkInOptimizedOrder(RealMatrixChangingVisitor, int, int, int, int)
* @return the value returned by {@link RealMatrixPreservingVisitor#end()} at the end
* of the walk
*/
double walkInOptimizedOrder(RealMatrixPreservingVisitor visitor,
int startRow, int endRow, int startColumn, int endColumn)
throws MatrixIndexException, MatrixVisitorException;
/**
* Returns the solution vector for a linear system with coefficient
* matrix = this and constant vector = b.
*
* @param b constant vector
* @return vector of solution values to AX = b, where A is *this
* @throws IllegalArgumentException if this.rowDimension != b.length
* @throws InvalidMatrixException if this matrix is not square or is singular
* @deprecated as of release 2.0, replaced by {@link DecompositionSolver#solve(double[])}
*/
@Deprecated
double[] solve(double[] b) throws IllegalArgumentException, InvalidMatrixException;
/**
* Returns a matrix of (column) solution vectors for linear systems with
* coefficient matrix = this and constant vectors = columns of
* b.
*
* @param b matrix of constant vectors forming RHS of linear systems to
* to solve
* @return matrix of solution vectors
* @throws IllegalArgumentException if this.rowDimension != row dimension
* @throws InvalidMatrixException if this matrix is not square or is singular
* @deprecated as of release 2.0, replaced by {@link DecompositionSolver#solve(RealMatrix)}
*/
@Deprecated
RealMatrix solve(RealMatrix b) throws IllegalArgumentException, InvalidMatrixException;
}
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