SciLib.Math
Class LinearSystem

java.lang.Object
  SciLib.Math.LinearSystem

public final class LinearSystem
extends java.lang.Object

This class contains some methods to handle the linear system problems

Constructor Summary

LinearSystem()

Method Summary

static void	Gauss(double[][] A, int[] l) Perform Gaussian elimination with scaled partial pivoting
static void	Gauss(matrix A, integerVector l) Perform Gaussian elimination with scaled partial pivoting
static void	Solve(double[][] A, double[] b, double[] x, int[] l) Solve linear system Ax = b
static vector	Solve(matrix A, vector b, integerVector l) Solve linear system Ax = b
static void	SolveLinEq(double[][] A, double[] b, double[] x) Solve linear system Ax = b
static vector	SolveLinEq(matrix A, vector b) Solve linear system Ax = b

Methods inherited from class java.lang.Object

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

Constructor Detail

LinearSystem

public LinearSystem()

Method Detail

Gauss

public static void Gauss(double[][] A,
                         int[] l)

Perform Gaussian elimination with scaled partial pivoting

Parameters:

A - A two-dimensional array that contains the matrix coeeficient

l - An integer array that stores the result index

Solve

public static void Solve(double[][] A,
                         double[] b,
                         double[] x,
                         int[] l)

Solve linear system Ax = b

Parameters:

A - A two-dimensional array that stores the result after performing Gaussian elimination

l - An integer array that stores the result index

b - An array

x - An array that stores the solution of the system

SolveLinEq

public static void SolveLinEq(double[][] A,
                              double[] b,
                              double[] x)

Solve linear system Ax = b

Parameters:

A - A two-dimensional array that stores the result after performing Gaussian elimination

b - An array

x - An array that stores the solution of the system

Gauss

public static void Gauss(matrix A,
                         integerVector l)
                  throws SizeException

Perform Gaussian elimination with scaled partial pivoting

Parameters:

A - The matrix coeeficient

l - A vector that stores the result index

Throws:

SizeException

Solve

public static vector Solve(matrix A,
                           vector b,
                           integerVector l)
                    throws SizeException

Solve linear system Ax = b

Parameters:

A - The matrix coeeficient

l - A vector that stores the result index

b - A vector

Returns:

The solution vector

Throws:

SizeException

SolveLinEq

public static vector SolveLinEq(matrix A,
                                vector b)

Solve linear system Ax = b

Parameters:

A - The matrix coeeficient

b - A vector

Returns:

The solution vector