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Implementation of an improved bisection algorithm in buckling problems
Author(s) -
Evans D. J.,
Shanehchi 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.1620190708
Subject(s) - eigenvalues and eigenvectors , tridiagonal matrix , bisection method , buckling , bisection , mathematics , matrix (chemical analysis) , simple (philosophy) , minor (academic) , minification , algorithm , class (philosophy) , mathematical optimization , algebra over a field , computer science , pure mathematics , geometry , structural engineering , engineering , artificial intelligence , materials science , epistemology , philosophy , physics , quantum mechanics , political science , law , composite material
An improved bisection strategy is presented to determine the eigenvalues of a real symmetric tridiagonal matrix which occurs in a simple column buckling problem. The new strategy, which involves only a minor modification, utilizes incomplete Sturm sequences only as long as relevant information on the next and following eigenvalues is obtained resulting in a minimization of the computational work. The strategy is particularly effective if only a few eigenvalues are required. The technique can be used for a wider class of eigenvalue problems than the illustrative one presented here.