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
<p>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...
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ndltd-VTETD-oai-vtechworks.lib.vt.edu-10919-455852021-05-05T05:40:31Z 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 Herring, L. Carl Applied Mechanics Pletta, Dan H. Sword, J. H. LD5655.V855 1959.H477 IBM 650 (Computer) <p>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.</p> Master of Science 2014-03-14T21:49:21Z 2014-03-14T21:49:21Z 1959-10-15 2012-11-09 2012-11-09 2012-11-09 Thesis Text etd-11092012-040324 http://hdl.handle.net/10919/45585 http://scholar.lib.vt.edu/theses/available/etd-11092012-040324/ en OCLC# 27251367 LD5655.V855_1959.H477.pdf In Copyright http://rightsstatements.org/vocab/InC/1.0/ 185 leaves BTD application/pdf application/pdf Virginia Tech |
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LD5655.V855 1959.H477 IBM 650 (Computer) |
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LD5655.V855 1959.H477 IBM 650 (Computer) Herring, L. Carl 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 |
description |
<p>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.</p> === Master of Science |
author2 |
Applied Mechanics |
author_facet |
Applied Mechanics Herring, L. Carl |
author |
Herring, L. Carl |
author_sort |
Herring, L. Carl |
title |
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 |
title_short |
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 |
title_full |
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 |
title_fullStr |
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 |
title_full_unstemmed |
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 |
title_sort |
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 |
publisher |
Virginia Tech |
publishDate |
2014 |
url |
http://hdl.handle.net/10919/45585 http://scholar.lib.vt.edu/theses/available/etd-11092012-040324/ |
work_keys_str_mv |
AT herringlcarl improvinganibmtype650digitalcomputeroperationbyprogrammingtheinverseofapartitionedmatrixasusedintheanalysisofrectangularrigidframes |
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1719402736102932480 |