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

Class MatrixRootByDiagonalization

java.lang.Object

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

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

All Implemented Interfaces:

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

public class MatrixRootByDiagonalization
extends DenseMatrix

The square root of a matrix extends the notion of square root from numbers to matrices. A matrix B is said to be a square root of A if the matrix product BB is equal to A.

See Also:

Wikipedia: By diagonalization

Constructor Summary

Constructors

Constructor and Description
MatrixRootByDiagonalization(Matrix S) Constructs the square root of a Matrix by diagonalization.

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

MatrixRootByDiagonalization

public MatrixRootByDiagonalization(Matrix S)

Constructs the square root of a Matrix by diagonalization.

Parameters:

S - a diagonalizable matrix