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Original Articles

Applications of multlinear algebra

Pages 211-224 | Published online: 20 Jan 2011
 

Abstract

Apart from some clarification of earlier work (Theorems 3 and 8), there is no new mathematics reported here. This is an expository article addressing some of the many applications of multilinear algebra, particularly those which touch upon the author's own work. Section 1 it. a brief introduction to the applicable ideas and techniques with special emphasis un group reprcscntaiiuns. Section 2 involves applications in quantum chemistry. Section 3 deals with combinatorial enumeration problems illustrated in the context of graph theory. The final section is devoted to generalized matrix tune-lions and some of their applications.

This material formed the basis for the author's talk at the April 1990 Lisbon Workshop on Multilinear Algebra. The preparation of the article was supported by a California State University RSCA award and by National Security Agency grant MDA904-90-H4024.

This material formed the basis for the author's talk at the April 1990 Lisbon Workshop on Multilinear Algebra. The preparation of the article was supported by a California State University RSCA award and by National Security Agency grant MDA904-90-H4024.

Notes

This material formed the basis for the author's talk at the April 1990 Lisbon Workshop on Multilinear Algebra. The preparation of the article was supported by a California State University RSCA award and by National Security Agency grant MDA904-90-H4024.

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