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On a direct‐iterative eigensolution technique
Author(s) -
Dong Stanley B.,
Wolf Joseph A.,
Peterson Frederick E.
Publication year - 1972
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.1620040202
Subject(s) - convergence (economics) , scheme (mathematics) , iterative method , mathematics , algebraic number , algorithm , conjunction (astronomy) , computer science , mathematical optimization , mathematical analysis , physics , economics , astronomy , economic growth
Two variations of an iterative scheme are presented for the solution to algebraic eigensystems. These algorithms are used in conjunction with the method of reduced generalized co‐ordinates so that n number of frequencies and mode shapes are obtained simultaneously. The bases of the scheme are the well‐known results of Stodola–Vianello and Gram–Schmidt. Advantages of the present schemes are realized both in computational effort and in computer storage. Examples are presented to illustrate the convergence characteristics.