﻿DoubleComplexTriDiagFact Class

# DoubleComplexTriDiagFact Class

Class DoubleComplexTriDiagFact represents the LU factorization of a tridiagonal matrix of double-precision complex floating point numbers.
Inheritance Hierarchy
SystemObject
CenterSpace.NMath.CoreDoubleComplexTriDiagFact

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

The DoubleComplexTriDiagFact type exposes the following members.

Constructors
NameDescription
DoubleComplexTriDiagFact(DoubleComplexTriDiagMatrix) Constructs an DoubleComplexTriDiagFact 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.
DoubleComplexTriDiagFact(DoubleComplexTriDiagMatrix, Boolean) Constructs a DoubleComplexTriDiagFact instance by factoring the given matrix.
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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 factored is singular; otherwise, false.
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.
ConditionNumber(NormType) Computes an estimate of the reciprocal of the condition number of a given matrix in the specified norm type.
Determinant Computes the determinant of the factored matrix.
Factor(DoubleComplexTriDiagMatrix) 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(DoubleComplexTriDiagMatrix, 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 LU factorization to solve the linear system AX = B.
Solve(DoubleComplexVector) Uses the LU factorization of self to solve the linear system Ax = b.
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Remarks
The factorization has the form A = LU where L is a product of permutation and unit lower bidiagonal matrices and U is upper triangular with nonzeros in only the main diagonal and first two superdiagonals.