﻿DoubleTriDiagFact Class

# DoubleTriDiagFact Class

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

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

The DoubleTriDiagFact type exposes the following members.

Constructors
NameDescription
DoubleTriDiagFact(DoubleTriDiagMatrix)
Constructs an DoubleTriDiagFact 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.
DoubleTriDiagFact(DoubleTriDiagMatrix, Boolean)
Constructs a DoubleTriDiagFact 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(DoubleTriDiagMatrix)
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(DoubleTriDiagMatrix, Boolean)
Factors the matrix A so that self represents the LU factorization of A.
Inverse
Computes the inverse of the factored matrix.
Solve(DoubleMatrix)
Uses this LU factorization to solve the linear system AX = B.
Solve(DoubleVector)
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.