﻿DoubleHermitianPDBandFact Class

# DoubleHermitianPDBandFact Class

Class DoubleHermitianPDBandFact represents the factorization of a Hermitian, positive definite, banded matrix of complex double-precision floating point numbers.
Inheritance Hierarchy
SystemObject
CenterSpace.NMath.CoreDoubleHermitianPDBandFact

Namespace:  CenterSpace.NMath.Core
Assembly:  NMath (in NMath.dll) Version: 7.3
Syntax
```[SerializableAttribute]
public class DoubleHermitianPDBandFact : ICloneable```

The DoubleHermitianPDBandFact type exposes the following members.

Constructors
NameDescription
DoubleHermitianPDBandFact(DoubleHermitianBandMatrix)
Constructs a DoubleHermitianPDBandFact 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.
DoubleHermitianPDBandFact(DoubleHermitianBandMatrix, Boolean)
Constructs an DoubleHermitianPDBandFact instance by factoring the given matrix.
Top
Properties
NameDescription
Cols
Gets the number of columns in the matrix represented by the factorization.
HalfBandwidth
Gets the half bandwidth of the factored Hermitian banded matrix.
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 factored is positive definite; 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 with respect to the one norm.
Determinant
Computes the determinant of the factored matrix.
Factor(DoubleHermitianBandMatrix)
Factors the matrix A so that self represents the LU 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(DoubleHermitianBandMatrix, Boolean)
Factors the matrix A so that self represents the LU factorization of A.
Inverse
Computes the inverse of the factored matrix.
Solve(DoubleComplexMatrix)
Uses this factorization to solve the linear system AX = B.
Solve(DoubleComplexVector)
Uses the LU factorization of self to solve the linear system Ax = b.
Top