LQ Class

Implements a LQ factorization of general rectangular real matrix with or without row pivoting.

Inheritance Hierarchy

SystemObject
FinMath.LinearAlgebra.FactorizationsLQ

Namespace: FinMath.LinearAlgebra.Factorizations
Assembly: FinMath (in FinMath.dll) Version: 2.4.7-0a995bd0ea1854c2c868ec3f8dae606c5777e170

Syntax

[SerializableAttribute]
public class LQ : ISolver

The LQ type exposes the following members.

Constructors

	Name	Description
	LQ(Boolean)	Initializes a new instance of the LQ factorization with given settings.
	LQ(Matrix)	Initializes a new instance of the LQ factorization of the given matrix.
	LQ(Matrix, Boolean)	Initializes a new instance of the LQ factorization of the given matrix with optional row pivoting.

Methods

	Name	Description
	EconomicL	Computes the economy-size lower triangular matrix L.
	EconomicQ	Computes the economy-size matrix Q with orthogonal rows.
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	InverseRowPermutation	Computes the inverse of permutation of rows applied to matrix A.
	IsFullRank	Checks whether the matrix has rull rank.
	L	Computes the lower triangular (or lower trapezoidal) matrix L.
	P	Computes the permutation matrix.
	Q	Computes the unitary matrix Q.
	RowPermutation	Computes the permutation of rows applied to matrix A.
	Solve(Matrix)	Solves a system of linear equations, AX = B.
	Solve(Vector)	Solves a system of linear equations, Ax = b
	Solve(Matrix, Matrix)	Solves a system of linear equations, AX = B.
	Solve(Vector, Vector)	Solves a system of linear equations, Ax = b.
	ToString	Returns a string that represents the current object. (Inherited from Object.)
	Update	Computes the LQ factorization of the given matrix.