LQDecomposition<T> Class

public class LQDecomposition<T> : Decomposition<T>

Public Class LQDecomposition(Of T)
	Inherits Decomposition(Of T)

generic<typename T>
public ref class LQDecomposition : public Decomposition<T>

type LQDecomposition<'T> = 
    class
        inherit Decomposition<'T>
    end

Inheritance

Object  →  LinearOperator<T>  →  Decomposition<T>  →  LQDecomposition<T>

Type Parameters

T

The LQ decomposition of a matrix A rewrites the matrix in the form A= LQ, where Q is an orthogonal matrix, and L is a lower-triangular matrix.

The LQDecomposition<T> class has no constructors. Instead, use the GetLQDecomposition() instance method to create an LQ decomposition for a matrix.

LQDecomposition<T> can operate in two modes. In overwrite mode, the original matrix is overwritten by the decomposition. In preserve mode, the original matrix is preserved, and a new matrix is created to hold the decomposition. You can set the mode through the Overwrite property.

LQDecomposition<T> inherits from LinearOperator<T>. This means you can use it to solve systems of linear equations. You can solve for a single right-hand side, or for multiple right-hand sides using the Solve(Vector<T>) method. You can also calculate the determinant, the inverse, and an estimate for the EstimateConditionNumber().

Reference