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Weighted Graph Based Ordering Techniques For Preconditioned Conjugate Gradient Methods by Simon S. Clift
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1NASA Technical Reports Server (NTRS) 19950012321: Weighted Graph Based Ordering Techniques For Preconditioned Conjugate Gradient Methods
By NASA Technical Reports Server (NTRS)
We describe the basis of a matrix ordering heuristic for improving the incomplete factorization used in preconditioned conjugate gradient techniques applied to anisotropic PDE's. Several new matrix ordering techniques, derived from well-known algorithms in combinatorial graph theory, which attempt to implement this heuristic, are described. These ordering techniques are tested against a number of matrices arising from linear anisotropic PDE's, and compared with other matrix ordering techniques. A variation of RCM is shown to generally improve the quality of incomplete factorization preconditioners.
“NASA Technical Reports Server (NTRS) 19950012321: Weighted Graph Based Ordering Techniques For Preconditioned Conjugate Gradient Methods” Metadata:
- Title: ➤ NASA Technical Reports Server (NTRS) 19950012321: Weighted Graph Based Ordering Techniques For Preconditioned Conjugate Gradient Methods
- Author: ➤ NASA Technical Reports Server (NTRS)
- Language: English
“NASA Technical Reports Server (NTRS) 19950012321: Weighted Graph Based Ordering Techniques For Preconditioned Conjugate Gradient Methods” Subjects and Themes:
- Subjects: ➤ NASA Technical Reports Server (NTRS) - COMBINATORIAL ANALYSIS - COMPUTATIONAL GRIDS - CONJUGATE GRADIENT METHOD - GRAPH THEORY - HEURISTIC METHODS - MATHEMATICAL MODELS - MATRICES (MATHEMATICS) - PARTIAL DIFFERENTIAL EQUATIONS - ALGORITHMS - ANISOTROPY - FACTORIZATION - FINITE ELEMENT METHOD - LINEARITY - TIME MEASUREMENT - Clift, Simon S. - Tang, Wei-Pai
Edition Identifiers:
- Internet Archive ID: NASA_NTRS_Archive_19950012321
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