A method for solving high‐order real symmetric eigenvalue problems | Zendy

Fricker A. J. | Zendy

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A method for solving high‐order real symmetric eigenvalue problems

Author(s) -

Fricker A. J.

Publication year - 1983

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620190803

Subject(s) - eigenvalues and eigenvectors , mathematics , divide and conquer eigenvalue algorithm , convergence (economics) , computation , inverse iteration , eigenvalue perturbation , order (exchange) , iterative method , algorithm , physics , finance , quantum mechanics , economics , economic growth

A new method for solving structural dynamics problems has been proposed by the author in a separate paper. 1 This method of solution produces a high order real symmetric eigenvalue problem of the form ( A − λ B − λ 2 C − λ 3 D …) U = 0. An algorithm for solving such an eigenvalue problem using simultaneous iteration is presented in this paper. Methods of accelerating the convergence and reducing the amount of computation are also described. A numerical example is given in which the algorithm is used to calculate the eigenvalues and eigenvectors of a framed structure.

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