Research Article
Apr 1971
Improving Approximate Eigenvalues and Eigenvectors
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 97, Issue 2
Abstract
A numerical method is described for improving estimates for eigenvalues and eigenvectors of a wide class of operators, including those which arise in structural applications. The method, a modification of the Newton-Raphson technique, is applied to the solution of linear eigenvalue problems for systems with a finite number of degrees-of-freedom as well as for continuous systems. In addition, the extensions to cases of multiple eigenvalues and to problems involving nonlinear structural response are developed. Numerical results are presented for three examples. A fourth case dealing with nonlinear structural response is described briefly.
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Published In
Journal of the Engineering Mechanics Division
Volume 97 • Issue 2 • April 1971
Pages: 457 - 475
Copyright
© 1971 American Society of Civil Engineers.
History
Published in print: Apr 1971
Published online: Feb 3, 2021
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Arthur R. Robinson, M.ASCE
Prof. of Civ. Engrg., Univ. of Ill., Urbana, Ill
John F. Harris, AM.ASCE
Assoc. Sr. Research Engr., General Motors Research Lab., Warren, Mich.; formerly Grad. Student, Dept. of Civ. Engrg., Univ. of Ill., Urbana, Ill
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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.