Abstract
This paper presents a new programming language for matrix calculation LAMAX-S(LAnguage for MAtriX calculation - Supercomputer). In LAMAX-S, 9 kinds of matrix form can be described such as band matrix, triangular matrix and diagonal matrix. And two additional attributes can be described: (1) a specific form such as symmetric, sparse. (2) Mathematical condition such as positive definite. LAMAX-S preprocessor translates LAMAX-S source program to FORTRAN based on the mathematical description. In this paper, we presents a design of LAMAX-S from a mathematical point of view and its prototype.
