com.numericalmethod.suanshu.algebra.linear.matrix.doubles.operation

Class CongruentMatrix

java.lang.Object

com.numericalmethod.suanshu.algebra.linear.matrix.doubles.matrixtype.dense.DenseMatrix

com.numericalmethod.suanshu.algebra.linear.matrix.doubles.operation.CongruentMatrix

All Implemented Interfaces:

Matrix, MatrixAccess, MatrixRing, MatrixTable, Densifiable, AbelianGroup<Matrix>, Monoid<Matrix>, Ring<Matrix>, Table, DeepCopyable

public class CongruentMatrix
extends DenseMatrix

Given a matrix A and an invertible matrix P, we create the congruent matrix B s.t.,

B = P'AP

See Also:

Wikipedia: Matrix congruence

Constructor Summary

Constructors

Constructor and Description
CongruentMatrix(Matrix P, Matrix A) Constructs the congruent matrix B = P'AP.

Method Summary

Methods inherited from class com.numericalmethod.suanshu.algebra.linear.matrix.doubles.matrixtype.dense.DenseMatrix

add, deepCopy, equals, get, getColumn, getColumn, getRow, getRow, hashCode, minus, multiply, multiply, nCols, nRows, ONE, opposite, scaled, set, setColumn, setRow, t, toDense, toString, ZERO

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, wait, wait, wait

Constructor Detail

CongruentMatrix

public CongruentMatrix(Matrix P,
                       Matrix A)

Constructs the congruent matrix B = P'AP.

Parameters:

P - an invertible matrix

A - a matrix