
Accession Number : ADA115569
Title : A New Method of Solving IllConditioned Systems of Equations.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON 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 illconditioned 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 casedependent. This paper presents a method which gives good results for a large variety of situations. The method involves masking, a technique which sets the lowerorder bits (the number of bits varies) to zero, and then applying standard systemofequations 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