Optimal Preconditioners of a Given Sparsity Pattern - Softcover

Anne Greenbaum

 
9781332173495: Optimal Preconditioners of a Given Sparsity Pattern

Synopsis

This book, shedding insightful light on the practicalities of improving matrix computation, focuses on the difficulties of finding efficient preconditioners and presents a useful tool for their study. Particularly relevant to those working with elliptic partial differential equations, the author provides a practical means of gaining a deeper understanding of preconditioners and their effectiveness for a given matrix. Explaining the use of optimization techniques to efficiently tackle the problem of minimizing a particular convex function, the author goes on to present and discuss a variety of insightful experiments concluding that the preconditioner returned by the optimization code can be significantly better than many currently used preconditioners, giving the reader an invaluable head start in pushing their research further.

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