Accession Number:

AD0751254

Title:

A Posteriori Analysis of the Crout Method in Solving Linear Algebraic Systems,

Descriptive Note:

Corporate Author:

AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s):

Report Date:

1972-10-01

Pagination or Media Count:

35.0

Abstract:

In solving a system of linear algebraic equations Ax sup 0 b where A is an n by n non-singular matrix and b is an n-vector, the Crout variation of the Gaussian elimination methods enables one to determine directly the components of a unit-diagonal lower triangular matrix L sup 0 and an upper one U sup 0 so that A L sup 0 U sup 0. The solution vector x sup 0 can then be obtained by solving the system L sup 0 U sup0 x sup 0 b in the sequence L sup 0 Y sup 0 b and U sup 0 x sup 0 y sup 0. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE