Accession Number : ADA115569

Title :   A New Method of Solving Ill-Conditioned Systems of Equations.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Birmingham,Brian S

PDF Url : ADA115569

Report Date : Dec 1981

Pagination or Media Count : 37

Abstract : The problems associated with ill-conditioned matrices are well known and widespread. As of yet, there are no general solutions to the problem. The only remedies are usually ad hoc and are extremely case-dependent. This paper presents a method which gives good results for a large variety of situations. The method involves masking, a technique which sets the lower-order bits (the number of bits varies) to zero, and then applying standard system-of-equations solvers. Most of the computer runs made used the Hilbert matrix, and either a specified b vector (as in the form, Ax = b), or a specified x vector, with the b obtained by multiplying x by A. (Author)

Descriptors :   *Matrices(Mathematics), *Masking, Hilbert space, Vector spaces, Perturbations, Errors, Floating point operation, Equations, Computer applications, Interactions, Theses

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE