﻿DoubleHermitianFact Class

# DoubleHermitianFact Class

Class DoubleHermitianFact represents the factorization of a Hermitian, matrix of complex double-precision floating point numbers.
Inheritance Hierarchy
SystemObject
CenterSpace.NMath.CoreDoubleHermitianFact

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

The DoubleHermitianFact type exposes the following members.

Constructors
NameDescription
DoubleHermitianFact(DoubleHermitianMatrix) Constructs a DoubleHermitianFact 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.
DoubleHermitianFact(DoubleHermitianMatrix, Boolean) Constructs a DoubleHermitianFact 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.
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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.
IsSingular Gets a boolean value which is true if the matrix is Singular and the factorization may NOT be used to solve equations, compute determinants, inverses, and so on; otherwise true.
Rows Gets the number of rows in the matrix represented by the factorization.
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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(DoubleHermitianMatrix) Factors the matrix A so that self represents the 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(DoubleHermitianMatrix, Boolean) Factors the matrix A so that self represents the 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 factorization of self to solve the linear system Ax = b.
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See Also

#### Reference

CenterSpace.NMath.Core Namespace