dev.nm.algebra.linear.matrix.doubles.operation

Class CongruentMatrix

java.lang.Object

dev.nm.algebra.linear.matrix.doubles.matrixtype.dense.DenseMatrix

dev.nm.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., \[ B = P^{\mathsf T}AP \]

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 dev.nm.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

Methods inherited from interface dev.nm.algebra.linear.matrix.doubles.Matrix

toCSV

Constructor Detail

CongruentMatrix

public CongruentMatrix(Matrix P,
                       Matrix A)

Constructs the congruent matrix B = P'AP.

Parameters:

P - an invertible matrix

A - a matrix