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

Class Inverse

java.lang.Object

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

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

All Implemented Interfaces:

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

public class Inverse
extends DenseMatrix

For a square matrix A, the inverse, A^-1, if exists, satisfies

A.multiply(A.inverse()) == A.ONE()

There are multiple ways to compute the inverse of a matrix. They are,

• an analytic solution for small matrices, e.g., 2x2,
• LU Decomposition,
• the Moore-Penrose pseudoinverse.

See Also:

Wikipedia: Invertible matrix

Constructor Summary

Constructors

Constructor and Description
Inverse(Matrix A) Constructs the inverse of a matrix.
Inverse(Matrix A, double epsilon) Constructs the inverse of a matrix.

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

Inverse

public Inverse(Matrix A)

Constructs the inverse of a matrix.

Parameters:

A - a matrix

Inverse

public Inverse(Matrix A,
               double epsilon)

Constructs the inverse of a matrix.

Parameters:

A - a matrix

epsilon - a precision parameter: when a number |x| ≤ ε, it is considered 0