Accession Number : AD0751254

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

Corporate Author : AEROSPACE RESEARCH LABS WRIGHT-PATTERSON AFB OHIO

Personal Author(s) : Tsao,Nai-Kuan

Report Date : OCT 1972

Pagination or Media Count : 35

Abstract : In solving a system of linear algebraic equations A(x 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)

Descriptors :   (*MATRICES(MATHEMATICS), EQUATIONS), VECTOR SPACES, INEQUALITIES, NUMERICAL ANALYSIS, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE