Associative Computations of Some Mathematical Problems,

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1973
Accession Number
AD0768978

Entities

People

  • Tse-yun Feng
  • Wei-tih Cheng

Organizations

  • Syracuse University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Arithmetic
  • Computations
  • Differential Equations
  • Equations
  • Fast Fourier Transforms
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Operations Research
  • Parallel and Distributed Computing.