Research Article
Apr 1968
Dynamic Analysis by Matrix Decomposition
Publication: Journal of the Engineering Mechanics Division
Volume 94, Issue 2
Abstract
A method is presented for extracting eigenvalues and eigenvectors of a system using a combination of matrix iteration and matrix decomposition. In addition to the classical procedure for extracting eigenvalues in ascending or descending order of their magnitude, it is shown that eigenvalues can be extracted in a specified region of interest. A new technique for the simultaneous extracting of two or three close eigenvalues which may frequently occur in the neighborhood of a new origin of eigenvalues to which the computations shifted is presented.
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Published In
Journal of the Engineering Mechanics Division
Volume 94 • Issue 2 • April 1968
Pages: 385 - 396
Copyright
© 1968 American Society of Civil Engineers.
History
Published in print: Apr 1968
Published online: Feb 3, 2021
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Richard Rosen
Manager, Computer Systems Dept., Mechanics Research Inc., El Segundo, Calif.; Graduate Student, Dept. of Engrg., Univ. of California, Los Angeles, Calif.
Moshe F. Rubinstein, M.ASCE
Assoc. Prof. of Engrg., Dept. of Engrg., Univ. of California, Los Angeles, Calif.
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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.