An Efficient Parallel Algorithm for the Solution of a Tridiagonal Linear System of Equations.

Abstract

Tridiagonal linear systems of equations can be solved on conventional serial machines in a time proportional to N, where N is the number of equations. The conventional algorithms do not lend themselves directly to parallel computation on computers of the ILLIAC IV class, in the sense that they appear to be inherently serial. An efficient parallel algorithm is presented in which computation time grows as log of N to the base 2. The algorithm is based on recursive relations, and can be used to solve recurrence relations of all orders. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1971
Accession Number
AD0736814

Entities

People

  • Harold S. Stone

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Computers
  • Equations
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Parallel Computing

Readers

  • Linear Algebra
  • Parallel and Distributed Computing.