2253	 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. 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. address calculations algorithm transformation compilation data structures indexing by name indexing by position index domain index map index range matrix expressions normal form programming languages program optimization range operations symbolic manipulation syntactic analysis well-formed expressions
