Index Ranges for Matrix Calculi

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. 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. (Author)