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+/*
+ * 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;
+
+import org.apache.commons.math.linear.MatrixVisitorException;
+
+
+/**
+ * Interface defining a real-valued matrix with basic algebraic operations.
+ * <p>
+ * Matrix element indexing is 0-based -- e.g., <code>getEntry(0, 0)</code>
+ * returns the element in the first row, first column of the matrix.</p>
+ *
+ * @version $Revision: 1073158 $ $Date: 2011-02-21 22:46:52 +0100 (lun. 21 févr. 2011) $
+ */
+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 <code>m</code>.
+ * @param m matrix to premultiply by
+ * @return m * this
+ * @throws IllegalArgumentException
+ * if rowDimension(this) != columnDimension(m)
+ */
+ RealMatrix preMultiply(RealMatrix m) throws IllegalArgumentException;
+
+ /**
+ * Returns matrix entries as a two-dimensional array.
+ *
+ * @return 2-dimensional array of entries
+ */
+ double[][] getData();
+
+ /**
+ * Returns the <a href="http://mathworld.wolfram.com/MaximumAbsoluteRowSumNorm.html">
+ * maximum absolute row sum norm</a> of the matrix.
+ *
+ * @return norm
+ */
+ double getNorm();
+
+ /**
+ * Returns the <a href="http://mathworld.wolfram.com/FrobeniusNorm.html">
+ * Frobenius norm</a> 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 <code>row, column</code> using data in
+ * the input <code>subMatrix</code> array. Indexes are 0-based.
+ * <p>
+ * Example:<br>
+ * Starting with <pre>
+ * 1 2 3 4
+ * 5 6 7 8
+ * 9 0 1 2
+ * </pre>
+ * and <code>subMatrix = {{3, 4} {5,6}}</code>, invoking
+ * <code>setSubMatrix(subMatrix,1,1))</code> will result in <pre>
+ * 1 2 3 4
+ * 5 3 4 8
+ * 9 5 6 2
+ * </pre></p>
+ *
+ * @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 <code>subMatrix</code> is not rectangular
+ * (not all rows have the same length) or empty
+ * @throws NullPointerException if <code>subMatrix</code> is null
+ * @since 2.0
+ */
+ void setSubMatrix(double[][] subMatrix, int row, int column)
+ throws MatrixIndexException;
+
+ /**
+ * Returns the entries in row number <code>row</code>
+ * 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 <code>row</code>
+ * 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 <code>column</code>
+ * 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 <code>column</code>
+ * 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 <code>row</code>
+ * 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 <code>row</code>
+ * 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 <code>column</code>
+ * 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 <code>column</code>
+ * 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 <code>row</code> as an array.
+ * <p>
+ * Row indices start at 0. A <code>MatrixIndexException</code> is thrown
+ * unless <code>0 <= row < rowDimension.</code></p>
+ *
+ * @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 <code>row</code>
+ * 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 <code>col</code> as an array.
+ * <p>
+ * Column indices start at 0. A <code>MatrixIndexException</code> is thrown
+ * unless <code>0 <= column < columnDimension.</code></p>
+ *
+ * @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 <code>column</code>
+ * 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.
+ * <p>
+ * Row and column indices start at 0 and must satisfy
+ * <ul>
+ * <li><code>0 <= row < rowDimension</code></li>
+ * <li><code> 0 <= column < columnDimension</code></li>
+ * </ul>
+ * otherwise a <code>MatrixIndexException</code> is thrown.</p>
+ *
+ * @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.
+ * <p>
+ * Row and column indices start at 0 and must satisfy
+ * <ul>
+ * <li><code>0 <= row < rowDimension</code></li>
+ * <li><code> 0 <= column < columnDimension</code></li>
+ * </ul>
+ * otherwise a <code>MatrixIndexException</code> is thrown.</p>
+ *
+ * @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.
+ * <p>
+ * Row and column indices start at 0 and must satisfy
+ * <ul>
+ * <li><code>0 <= row < rowDimension</code></li>
+ * <li><code> 0 <= column < columnDimension</code></li>
+ * </ul>
+ * otherwise a <code>MatrixIndexException</code> is thrown.</p>
+ *
+ * @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.
+ * <p>
+ * Row and column indices start at 0 and must satisfy
+ * <ul>
+ * <li><code>0 <= row < rowDimension</code></li>
+ * <li><code> 0 <= column < columnDimension</code></li>
+ * </ul>
+ * otherwise a <code>MatrixIndexException</code> is thrown.</p>
+ *
+ * @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 <code>
+ * {@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)
+ * new LUDecompositionImpl(m)}.{@link LUDecomposition#getSolver()
+ * getSolver()}.{@link DecompositionSolver#getInverse()
+ * getInverse()}</code>
+ */
+ @Deprecated
+ RealMatrix inverse() throws InvalidMatrixException;
+
+ /**
+ * Returns the determinant of this matrix.
+ *
+ * @return determinant
+ * @deprecated as of release 2.0, replaced by <code>
+ * {@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)
+ * new LUDecompositionImpl(m)}.{@link LUDecomposition#getDeterminant()
+ * getDeterminant()}</code>
+ */
+ @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
+ * <code>{@link LUDecompositionImpl#LUDecompositionImpl(RealMatrix)
+ * new LUDecompositionImpl(m)}.{@link LUDecomposition#getSolver()
+ * getSolver()}.{@link DecompositionSolver#isNonSingular()
+ * isNonSingular()}</code>
+ */
+ @Deprecated
+ boolean isSingular();
+
+ /**
+ * Returns the <a href="http://mathworld.wolfram.com/MatrixTrace.html">
+ * trace</a> 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 <code>v</code>.
+ *
+ * @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 <code>v</code>.
+ *
+ * @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 <code>v</code>.
+ *
+ * @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 <code>v</code>.
+ *
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>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.</p>
+ * @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.
+ * <p>The fastest walking order depends on the exact matrix class. It may be
+ * different from traditional row or column orders.</p>
+ * @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.
+ * <p>The fastest walking order depends on the exact matrix class. It may be
+ * different from traditional row or column orders.</p>
+ * @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.
+ * <p>The fastest walking order depends on the exact matrix class. It may be
+ * different from traditional row or column orders.</p>
+ * @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.
+ * <p>The fastest walking order depends on the exact matrix class. It may be
+ * different from traditional row or column orders.</p>
+ * @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 = <code>b</code>.
+ *
+ * @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
+ * <code>b</code>.
+ *
+ * @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;
+
+}