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

Class SimilarMatrix

java.lang.Object

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

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

All Implemented Interfaces:

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

public class SimilarMatrix
extends DenseMatrix

Given a matrix A and an invertible matrix P, we construct the similar matrix B s.t., \[ B = P^{-1}AP \]

See Also:

Wikipedia: Similar matrix

Constructor Summary

Constructors

Constructor and Description
SimilarMatrix(Matrix P, Matrix A) Constructs the similar matrix \(B = P^{-1}AP\).

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

SimilarMatrix

public SimilarMatrix(Matrix P,
                     Matrix A)

Constructs the similar matrix \(B = P^{-1}AP\).

Parameters:

P - an invertible matrix

A - a matrix