DoubleComplexSchurDecomp Class

Class DoubleComplexSchurDecomp represents the Schur decomposition of a general matrix.

Inheritance Hierarchy

SystemObject
CenterSpace.NMath.CoreDoubleComplexSchurDecomp

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4

Syntax

[SerializableAttribute]
public class DoubleComplexSchurDecomp : ICloneable

<SerializableAttribute>
Public Class DoubleComplexSchurDecomp
	Implements ICloneable

[SerializableAttribute]
public ref class DoubleComplexSchurDecomp : ICloneable

[<SerializableAttribute>]
type DoubleComplexSchurDecomp = 
    class
        interface ICloneable
    end

The DoubleComplexSchurDecomp type exposes the following members.

Constructors

	Name	Description
	DoubleComplexSchurDecomp	Default constructor. Constructs a DoubleComplexSchurDecomp instance of size zero by zero.
	DoubleComplexSchurDecomp(DoubleComplexMatrix)	Constructs a DoubleComplexSchurDecomp instance of a given matrix.
	DoubleComplexSchurDecomp(DoubleComplexMatrix, Boolean)	Constructs a DoubleComplexSchurDecomp instance of a given matrix.

Properties

	Name	Description
	Cols	Gets the number of columns in the matrix that the decomposition represents.
	Rows	Gets the number of rows in the matrix that this decomposition represents.
	T	Gets the matrix T, where A = Z * T * Zh
	V	Gets the vector of computed eigenvalues.
	Z	Gets the matrix Z, where A = Z * T * Zh

Methods

	Name	Description
	Clone	Creates a deep copy of this decomposition.
	Factor	Builds a decomposition for the matrix A.

Remarks

A Schur decomposition is a representation of a matrix A of the form

AP = Schur

where P is a permutation matrix, Q is orthogonal, and R is upper trapezoidal (upper triangular if A has more rows than columns and has full rank).