Improving an IBM type 650 digital computer operation by programming the inverse of a partitioned matrix as used in the analysis of rectangular rigid frames

In order to solve a highly indeterminate rigid frame structure by the method of slope deflection a high order stiffness matrix needs to be inverted. Existing computer programs for the IBM Type 650 Computer are entirely too time consuming when the matrix coefficients and program instructions exceed the storage capacity of the computer drum. The method described in this paper involves the solution of the problem by the inversion of a partitioned matrix originally described by Duncan, Prazer, and Collar. Machine time was reduced by 91% using the new method. The program retains accuracy of six significant figures for a matrix normally twice as large as a machine can handle at one time, and four plus significant figures if the matrix is four times as large as the computer can handle in one storage operation. The method can be applied to digital computers of any size, thus increasing their apparent storage capacity or decreasing their operating time for a matrix inversion. The method is applicable to symmetrical as well as unsymmetrical matrices.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Applied Mechanics

Department dc:contributor.department

Applied Mechanics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1959

Author dc:creator

• Herring, L. Carl

Chair dc:contributor.committeechair

• Pletta, Dan H.

Committee member dc:contributor.committeemember

• Sword, J. H.

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Language dc:language.iso

en

Dc Identifier Other

etd-11092012-040324

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/45585