edu.gwu.lintool

Class LinResult

java.lang.Object

edu.gwu.lintool.LinResult

public class LinResult
extends java.lang.Object

Field Summary

Fields

Modifier and Type	Field and Description
double[][]	A The original matrix A.
double[][]	A_plus Store the pseudoinverse here.
double[][]	Ainv Put the inverse in Ainv.
double[]	b The original vector b in Ax=b.
double[][]	C Use this for the Gram-Schmidt coefficients.
boolean[]	isPivotColumn isPivotColumn[i]=true if column i is a pivot column.
boolean	isUniqueSolution Set uniqueSolution=true, if there's a solution to Ax=b.
double[]	lambda Use this for the eigenvalues.
int[]	pivotRow pivotRow[k]=r if the k-th column has a pivot and the pivot is in row r.
double[][]	Q Use this for the Q in QR decomposition.
double[][]	R Use this for the R in QR decomposition.
int	rank Set the rank.
double[][]	ref Store the REF here.
double[][]	rref Store the RREF here.
double[][]	S S should store the eigenvectors.
double[]	sigma Singular values.
double[][]	Sigma Singular values in an r x r matrix.
double[][]	Sinv The inverse of S for the spectral decomposition.
boolean	solutionExists Set solutionExists=true, if there's a solution to Ax=b.
double[][]	U The matrix U.
double[][]	V Use this for the Gram-Schmidt vectors and for the V matrix of the SVD.
double[]	x Put the solution to Ax=b in x.

Constructor Summary

Constructors

Constructor and Description
LinResult() Empty constructor.
LinResult(double[][] A, double[] b, double[][] ref, double[][] rref, double[] x, boolean[] isPivotColumn, boolean solutionExists, boolean isUniqueSolution, double[][] Ainv)

Method Summary

Methods inherited from class java.lang.Object

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

Field Detail

A

public double[][] A

The original matrix A. It's useful to have this in the LinResult instance, to pass around.

b

public double[] b

The original vector b in Ax=b. It's useful to have this in the LinResult instance, to pass around.

ref

public double[][] ref

Store the REF here.

rref

public double[][] rref

Store the RREF here.

isPivotColumn

public boolean[] isPivotColumn

isPivotColumn[i]=true if column i is a pivot column.

pivotRow

public int[] pivotRow

pivotRow[k]=r if the k-th column has a pivot and the pivot is in row r. If the k-th column does not have a pivot, pivotRow[k]=-1.

rank

public int rank

Set the rank.

solutionExists

public boolean solutionExists

Set solutionExists=true, if there's a solution to Ax=b.

isUniqueSolution

public boolean isUniqueSolution

Set uniqueSolution=true, if there's a solution to Ax=b.

x

public double[] x

Put the solution to Ax=b in x.

Ainv

public double[][] Ainv

Put the inverse in Ainv.

V

public double[][] V

Use this for the Gram-Schmidt vectors and for the V matrix of the SVD. The U,V matrices of the SVD need to be sorted.

C

public double[][] C

Use this for the Gram-Schmidt coefficients.

Q

public double[][] Q

Use this for the Q in QR decomposition.

R

public double[][] R

Use this for the R in QR decomposition.

lambda

public double[] lambda

Use this for the eigenvalues.

S

public double[][] S

S should store the eigenvectors.

Sinv

public double[][] Sinv

The inverse of S for the spectral decomposition.

sigma

public double[] sigma

Singular values. There should be exactly r of them, where r is the rank.

Sigma

public double[][] Sigma

Singular values in an r x r matrix.

U

public double[][] U

The matrix U.

A_plus

public double[][] A_plus

Store the pseudoinverse here.

Constructor Detail

LinResult

public LinResult()

Empty constructor.

LinResult

public LinResult(double[][] A,
                 double[] b,
                 double[][] ref,
                 double[][] rref,
                 double[] x,
                 boolean[] isPivotColumn,
                 boolean solutionExists,
                 boolean isUniqueSolution,
                 double[][] Ainv)