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The design and use of a sparse direct solver for skew symmetric matrices

✍ Scribed by Iain S. Duff

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
380 KB
Volume
226
Category
Article
ISSN
0377-0427

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✦ Synopsis

GMRES a b s t r a c t

We consider the LDL T factorization of sparse skew symmetric matrices. We see that the pivoting strategies are similar, but simpler, to those used in the factorization of sparse symmetric indefinite matrices, and we briefly describe the algorithms used in a forthcoming direct code based on multifrontal techniques for the factorization of real skew symmetric matrices. We show how this factorization can be very efficient for preconditioning matrices that have a large skew component.

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