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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Mathematics of Computation is 1.98.

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.

 

Efficient computer manipulation of tensor products with applications to multidimensional approximation
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by V. Pereyra and G. Scherer PDF
Math. Comp. 27 (1973), 595-605 Request permission

Abstract:

The objective of this paper is twofold: (a) To make it possible to perform matrix-vector operations in tensor product spaces, using only the factors ($n \cdot {p^2}$ words of information for $\otimes _{i = 1}^n{A_i},{A_i} \in \mathcal {L}({E^p},{E^p})$) instead of the tensor-product operators themselves (${({p^2})^n}$ words of information). (b) To produce efficient algorithms for solving systems of linear equations with coefficient matrices being tensor products of nonsingular matrices, with special application to the approximation of multidimensional linear functionals.
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Math. Comp. 27 (1973), 595-605
  • MSC: Primary 65F30; Secondary 65D05
  • DOI: https://doi.org/10.1090/S0025-5718-1973-0395196-6
  • MathSciNet review: 0395196