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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Convergence estimates for product iterative methods with applications to domain decomposition
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by James H. Bramble, Joseph E. Pasciak, Jun Ping Wang and Jinchao Xu PDF
Math. Comp. 57 (1991), 1-21 Request permission


In this paper, we consider iterative methods for the solution of symmetric positive definite problems on a space $\mathcal {V}$ which are defined in terms of products of operators defined with respect to a number of subspaces. The simplest algorithm of this sort has an error-reducing operator which is the product of orthogonal projections onto the complement of the subspaces. New norm-reduction estimates for these iterative techniques will be presented in an abstract setting. Applications are given for overlapping Schwarz algorithms with many subregions for finite element approximation of second-order elliptic problems.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Math. Comp. 57 (1991), 1-21
  • MSC: Primary 65J10; Secondary 65M55, 65N22, 65N55
  • DOI:
  • MathSciNet review: 1090464