
Accession Number : AD0751254
Title : A Posteriori Analysis of the Crout Method in Solving Linear Algebraic Systems,
Corporate Author : AEROSPACE RESEARCH LABS WRIGHTPATTERSON AFB OHIO
Personal Author(s) : Tsao,NaiKuan
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 nonsingular matrix and b is an nvector, the Crout variation of the Gaussian elimination methods enables one to determine directly the components of a unitdiagonal 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