STRATEGIES FOR SCALING AND PIVOTING FOR SPARSE SYMMETRIC INDEFINITE PROBLEMS.

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Bibliographic Details
Title: STRATEGIES FOR SCALING AND PIVOTING FOR SPARSE SYMMETRIC INDEFINITE PROBLEMS.
Source: SIAM Journal on Matrix Analysis & Applications. 2005, Vol. 27 Issue 2, p313-340. 28p.
Subjects: Matrices (Mathematics), Semiseparable matrices, Symmetric matrices, Factorization, Abstract algebra
Abstract: We consider ways of implementing preordering and scaling for symmetric systems and show the effect of using this technique with a multifrontal code for sparse symmetric indefinite systems. After having presented a new method for scaling, we propose a way of using an approximation to a symmetric weighted matching to predefine 1 × 1 and 2 × 2 pivots prior to the ordering and analysis phase. We also present new classes of orderings called “(relaxed) constrained orderings” that mix structural and numerical criteria. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:We consider ways of implementing preordering and scaling for symmetric systems and show the effect of using this technique with a multifrontal code for sparse symmetric indefinite systems. After having presented a new method for scaling, we propose a way of using an approximation to a symmetric weighted matching to predefine 1 × 1 and 2 × 2 pivots prior to the ordering and analysis phase. We also present new classes of orderings called “(relaxed) constrained orderings” that mix structural and numerical criteria. [ABSTRACT FROM AUTHOR]
ISSN:08954798
DOI:10.1137/04061043X