ComplexSuperLU Class |
Namespace: Imsl.Math
The ComplexSuperLU type exposes the following members.
Name | Description | |
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ComplexSuperLU |
Constructor for ComplexSuperLU.
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Name | Description | |
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Equals | Determines whether the specified object is equal to the current object. (Inherited from Object.) | |
Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.) | |
GetHashCode | Serves as a hash function for a particular type. (Inherited from Object.) | |
GetPerformanceTuningParameters |
Returns a performance tuning parameter value.
| |
GetType | Gets the Type of the current instance. (Inherited from Object.) | |
MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object.) | |
SetPerformanceTuningParameters |
Sets performance tuning parameters.
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Solve |
Computation of the solution vector for the system
.
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SolveConjugateTranspose |
Computation of the solution vector for the system
.
| |
SolveTranspose |
Computation of the solution vector for the system
.
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ToString | Returns a string that represents the current object. (Inherited from Object.) |
Name | Description | |
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ColumnOrderingMethod |
The method used to permute the columns of the input matrix.
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ConditionNumber |
The estimate of the reciprocal condition number of the matrix
A.
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DiagonalPivotThreshold |
The threshold used for a diagonal entry to be an
acceptable pivot.
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Equilibrate |
Specifies if input matrix A is equilibrated before factorization.
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EquilibrationMethod |
The type of equilibration used before matrix factorization.
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ForwardErrorBound |
The estimated forward error bound for the solution vector.
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IterativeRefinement |
Specifies whether to perform iterative refinement.
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PivotGrowth |
Specifies whether to compute the reciprocal pivot growth factor.
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ReciprocalPivotGrowthFactor |
The reciprocal pivot growth factor.
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RelativeBackwardError |
The componentwise relative backward error of the solution vector.
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SymmetricMode |
Specifies whether to use the symmetric mode.
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Consider the sparse linear system of equations
Here, A is a general square, nonsingular, n by n sparse matrix, and x and b are vectors of length n. All entries in A, x and b are of type Complex.Gaussian elimination, applied to the system above, can be shortly described as follows:
Class ComplexSuperLU handles step 1 above in the Solve method if it is has not been computed prior to step 2. More precisely, before is solved the following steps are performed:
Method Solve uses this information to perform the following steps:
Some of the steps mentioned above are optional. Their settings can be controlled by the Set methods and properties of class ComplexSuperLU.
Class ComplexSuperLU is based on the SuperLU code written by Demmel, Gilbert, Li et al. For more detailed explanations of the factorization and solve steps, see the SuperLU Users' Guide (1999).
Copyright (c) 2003, The Regents of the University of California, through Lawrence Berkeley National Laboratory (subject to receipt of any required approvals from U.S. Dept. of Energy)
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