mikera.matrixx.solve

Class Linear

java.lang.Object

mikera.matrixx.solve.Linear

public class Linear
extends java.lang.Object

Class providing liner solver algorithms that find the solution to systems of the form: A.x = b

Method Summary

Modifier and Type	Method and Description
static AMatrix	solve(AMatrix A, AMatrix B) A general linear system solver, For a matrix A, returns a matrix whose each column is the solution to the equation A.x = b, where b is the corresponding column of B.
static AVector	solve(AMatrix A, AVector b) A general linear system solver, Returns the solution to the equation A.x = b, returns null if A is square and has no unique solution.
static AMatrix	solveLeastSquares(AMatrix A, AMatrix B) Returns the least squares solution to the equation A.X = B Use this in the case of over-determined (more equations than unknowns) or under-determined (more unknowns than equations)
static AVector	solveLeastSquares(AMatrix A, AVector b) Returns the least squares solution to the equation A.x = b Use this in the case of over-determined (more equations than unknowns) or under-determined (more unknowns than equations)

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

solveLeastSquares

public static AVector solveLeastSquares(AMatrix A,
                                        AVector b)

Returns the least squares solution to the equation A.x = b Use this in the case of over-determined (more equations than unknowns) or under-determined (more unknowns than equations)

Parameters:

A -

b -

Returns:

AVector x

solveLeastSquares

public static AMatrix solveLeastSquares(AMatrix A,
                                        AMatrix B)

Returns the least squares solution to the equation A.X = B Use this in the case of over-determined (more equations than unknowns) or under-determined (more unknowns than equations)

Parameters:

A -

B -

Returns:

AMatrix X

solve

public static AVector solve(AMatrix A,
                            AVector b)

A general linear system solver, Returns the solution to the equation A.x = b, returns null if A is square and has no unique solution.

Parameters:

A -

b -

Returns:

solve

public static AMatrix solve(AMatrix A,
                            AMatrix B)

A general linear system solver, For a matrix A, returns a matrix whose each column is the solution to the equation A.x = b, where b is the corresponding column of B. Returns null if A is square and equations don't have solutions.

Parameters:

A -

B -

Returns: