dev.nm.algebra.linear.matrix.doubles.factorization.eigen.mr3

Class LDDecomposition

java.lang.Object

dev.nm.algebra.linear.matrix.doubles.factorization.eigen.mr3.LDDecomposition

public class LDDecomposition
extends Object

Represents a \(L D L^{\mathsf T}\) decomposition of a shifted symmetric tridiagonal matrix T. That is, \[ (T - \sigma I) = L D L^{\mathsf T} \] where T is a symmetric tridiagonal matrix, σ is a shift for this factorization, L is a unit lower triangular matrix, and D is a diagonal matrix.

Constructor Summary

Constructors

Constructor and Description
LDDecomposition(Vector D, Vector L, double sigma)

Method Summary

Modifier and Type	Method and Description
Vector	D() The diagonal entries of the diagonal matrix D.
Vector	L() The sub-diagonal entries of the unit lower triangular matrix L.
Vector	LD()
Vector	LLD()
double	sigma()
int	size()

Methods inherited from class java.lang.Object

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

Constructor Detail

LDDecomposition

public LDDecomposition(Vector D,
                       Vector L,
                       double sigma)

Parameters:

D -

L -

sigma -

Method Detail

size

public int size()

L

public Vector L()

The sub-diagonal entries of the unit lower triangular matrix L.

Returns:

the sub-diagonal of L

D

public Vector D()

The diagonal entries of the diagonal matrix D.

Returns:

the diagonal of D

sigma

public double sigma()

LD

public Vector LD()

LLD

public Vector LLD()