Accession Number : AD0768978

Title :   Associative Computations of Some Mathematical Problems,

Corporate Author : SYRACUSE UNIV N Y

Personal Author(s) : Cheng,Wei-tih ; Feng,Tse-Yun

Report Date : AUG 1973

Pagination or Media Count : 85

Abstract : D. In order to evaluate the effectiveness of such a system, a number of fundamental mathematical problems which are useful for a broad range of applications are studied. These are, among others, fast Fourier transform, partial differential equations, and matrix operations. New and modified algorithms are developed. Inefficient word-sequential loading and processing are minimized and redundant storage is eliminated. The execution times for solving these mathematical problems under various conditions are computed, analyzed, and compared with those required by two other associative organizations. It is shown that with the simplest arithmetic-logic units and bis (bit-slice)-sequential data manipulating capability assumed in the proposed organization, the improvements in system performance and storage requirements are significantly and consistently better than those of existing techniques. (Modified author abstract)

Descriptors :   (*COMPUTER PROGRAMMING, NUMERICAL ANALYSIS), MEMORY DEVICES, INTEGRAL TRANSFORMS, FOURIER ANALYSIS, PARTIAL DIFFERENTIAL EQUATIONS, MATRICES(MATHEMATICS), LOGIC CIRCUITS, MULTIPLE OPERATION, SEARCH THEORY

Subject Categories : Computer Programming and Software
      Computer Hardware

Distribution Statement : APPROVED FOR PUBLIC RELEASE