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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| Format: | Others |
| Language: | en |
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Virginia Tech
2014
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| Online Access: | http://hdl.handle.net/10919/45585 http://scholar.lib.vt.edu/theses/available/etd-11092012-040324/ |
| Summary: | <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 |
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