Accession Number : AD0764562

Title :   Approximations to Generalized Inverses of Linear Operators.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Moore,R. H. ; Nashed,M. Z.

Report Date : JUN 1973

Pagination or Media Count : 36

Abstract : For linear operators A,B on a beta-space, if B approximates A suitably then the generalized inverse of A is approximated by (B sub phi), related to but in general different from the generalized inverse of B. Applications are for numerical solutions of integral equations and approximate least squares solutions. Known matrix results are recovered. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), THEOREMS), BANACH SPACE, INTEGRAL EQUATIONS, TOPOLOGY, OPERATORS(MATHEMATICS), CONVERGENCE, MATRICES(MATHEMATICS), NUMERICAL ANALYSIS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE