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Home → Magazine Archive → December 1972 (Vol. 15, No. 12) → Index ranges for matrix calculi → Abstract

Index ranges for matrix calculi

By R. Bayer, C. Witzgall

Communications of the ACM, Vol. 15 No. 12, Pages 1033-1039
10.1145/361598.361610

The paper describes a scheme for symbolic manipulation of index expressions which arise as a by-product of the symbolic manipulation of expressions in the matrix calculi described by the authors in a previous paper. This scheme attempts program optimization by transforming the original algorithm rather than the machine code. The goal is to automatically generate code for handling the tedious address calculations necessitated by complicated data structures. The paper is therefore preoccupied with “indexing by position.” The relationship of “indexing by name” and “indexing by position” is discussed.

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