 | DoubleComplexTriDiagFact Class |
Class DoubleComplexTriDiagFact represents the LU factorization of a tridiagonal matrix of
double-precision complex floating point numbers.
Inheritance HierarchyNamespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.3
SyntaxThe DoubleComplexTriDiagFact type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | 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.
|
Properties| Name | Description | |
|---|---|---|
 | 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.
|
Methods| Name | Description | |
|---|---|---|
| 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.
|
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.
See Also