Skip to Main Content

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 2024 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.

 

Efficient computer manipulation of tensor products with applications to multidimensional approximation
HTML articles powered by AMS MathViewer

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.
References
Similar Articles
  • Retrieve articles in Mathematics of Computation with MSC: 65F30, 65D05
  • Retrieve articles in all journals with MSC: 65F30, 65D05
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