Iterative Incomplete Factorization Methods: 4

Iterative Incomplete Factorization Methods: 4 Illustrated Edition book cover

Iterative Incomplete Factorization Methods: 4 Illustrated Edition

Author(s): Valery P Il'in (Author)

  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication Date: 1 July 1992
  • Edition: Illustrated
  • Language: English
  • Print length: 200 pages
  • ISBN-10: 9789810209964
  • ISBN-13: 9810209967

Book Description

This book is devoted to numerical methods for solving sparse linear algebra systems of very large dimension which arise in the implementation of the mesh approximations of the partial differential equations. Incomplete factorization is the basis of the wide class of preconditioning interative processes with acceleration by conjugate gradients or the Chebyshev technique. Different kinds of explicit and implicit algorithms are considered. Theoretical grounds of correctness and estimates of the convergence velocity of iterations are presented. Together with the results of experimental investigations for the typical examples, this book is the first on systematic studying of the incomplete factorization methods.

Editorial Reviews

Review

“This book gives an authoritative and selfcontained account of the development of incomplete factorization methods.” Mathematics Abstracts

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