Accession Number : AD0736814

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

Descriptive Note : Technical rept. no. 19,

Corporate Author : STANFORD UNIV CALIF STANFORD ELECTRONICS LABS

Personal Author(s) : Stone,Harold S.

Report Date : DEC 1971

Pagination or Media Count : 24

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)

Descriptors :   (*COMPUTER PROGRAMMING, ALGORITHMS), MATRICES(MATHEMATICS), ITERATIONS, RECURSIVE FUNCTIONS, LINEAR SYSTEMS, THEOREMS

Subject Categories : Theoretical Mathematics
      Computer Programming and Software
      Computer Hardware

Distribution Statement : APPROVED FOR PUBLIC RELEASE