 | Double |
Class DoubleHermitianPDBandFact represents the factorization of a Hermitian,
positive definite, banded matrix of
complex double-precision floating point numbers.
Inheritance HierarchyNamespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe DoubleHermitianPDBandFact type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | DoubleHermitianPDBandFact(DoubleHermitianBandMatrix) | Constructs a DoubleHermitianPDBandFact 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. |
| DoubleHermitianPDBandFact(DoubleHermitianBandMatrix, Boolean) | Constructs an DoubleHermitianPDBandFact instance by factoring the given matrix. |
Properties| Name | Description | |
|---|---|---|
 | Cols | Gets the number of columns in the matrix represented by the factorization. |
| HalfBandwidth | Gets the half bandwidth of the factored Hermitian banded matrix. |
| 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. |
| IsPositiveDefinite | Gets a boolean value which is true if the matrix factored is positive definite; 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 with respect to the one norm. |
| Determinant | Computes the determinant of the factored matrix. |
| Factor(DoubleHermitianBandMatrix) | 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(DoubleHermitianBandMatrix, 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 factorization to solve the linear system AX = B. |
| Solve(DoubleComplexVector) | Uses the LU factorization of self to solve the linear system Ax = b. |
See Also