 | Double |
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: 7.4
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