﻿DoubleHermPDTriDiagFact Class   # DoubleHermPDTriDiagFact Class

Class DoubleHermPDTriDiagFact represents the LDL' factorization of a Hermitian, positive definite, tridiagonal matrix of complex double-precision floating point numbers. Inheritance Hierarchy
SystemObject
CenterSpace.NMath.CoreDoubleHermPDTriDiagFact

Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4 Syntax
```[SerializableAttribute]
public class DoubleHermPDTriDiagFact : ICloneable```

The DoubleHermPDTriDiagFact type exposes the following members. Constructors
NameDescription DoubleHermPDTriDiagFact(DoubleComplexTriDiagMatrix) Constructs a DoubleHermPDTriDiagFact instance by factoring the given matrix. By default the condition number for the matrix will not be computed and will not be available from the ConditionNumber method. DoubleHermPDTriDiagFact(DoubleComplexTriDiagMatrix, Boolean) Constructs a DoubleHermPDTriDiagFact instance by factoring the given matrix.
Top Properties
NameDescription Cols Gets the number of columns in the matrix represented by the factorization. IsGood Gets a boolean value which is true if the matrix factorization succeeded and the factorization may be used to solve equations, compute determinants, inverses, and so on; otherwise false. IsPositiveDefinite Gets a boolean value which is true if the matrix is positive definite and the factorization may be used to solve equations, compute determinants, inverses, and so on; otherwise false. Rows Gets the number of rows in the matrix represented by the factorization.
Top Methods
NameDescription Clone Creates a deep copy of this factorization. ConditionNumber Computes an estimate of the reciprocal of the condition number of a given matrix in the 1-norm. Determinant Computes the determinant of the factored matrix. Factor(DoubleComplexTriDiagMatrix) Factors the matrix A so that self represents the LDL' factorization of A. By default the condition number for the matrix will not be computed and will not be available from the ConditionNumber method. Factor(DoubleComplexTriDiagMatrix, Boolean) Factors the matrix A so that self represents the LDL' factorization of A. Inverse Computes the inverse of the factored matrix. Solve(DoubleComplexMatrix) Uses this LDL' factorization to solve the linear system AX = B. Solve(DoubleComplexVector) Uses the LDL' factorization of self to solve the linear system Ax = b.
Top Remarks
The factorization has the form:
C#
`A = LDL'`
where D is diagonal and L is unit lower bidiagonal (L' is the conjugate transpose of the matrix L). See Also

#### Reference

CenterSpace.NMath.Core Namespace