Research Article
Jan 1970
Efficient Solutions for Linear Matrix Equations
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VIEW THE REPLYPublication: Journal of the Structural Division
Volume 96, Issue 1
Abstract
The most efficient means of solving most systems of linear equations arising in structural analysis is by Gaussian elimination and subsequent back substitution. A method is presented for its implementation. Direct solutions are obtained with sparse matrix factors which preserve the operations of the Gaussian elimination for repeat solutions. The method together with techniques for its application are graphically described. Its use in many types of engineering problems requiring solutions to systems of linear equations will: (1) Minimize the amount of central computer memory required; (2) provide a more flexible means of manipulating large matrices; and (3) dramatically reduce computer time.
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Journal of the Structural Division
Volume 96 • Issue 1 • January 1970
Pages: 49 - 64
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Jan 1970
Published online: Feb 1, 2021
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Authors
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H. Gordon Jensen, M.ASCE
Struct. Engr., Bonneville Power Admin., Portland, Ore.
Gary A. Parks, AM.ASCE
Struct. Engr., Bonneville Power Admin., Portland, Ore.
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.