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Nonnodal Condensation of Eigenvalue Problems
Author(s) -
Mackens W.,
Voss H.
Publication year - 1999
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199904)79:4<243::aid-zamm243>3.0.co;2-2
Subject(s) - eigenvalues and eigenvectors , condensation , convergence (economics) , subspace topology , inverse iteration , inverse , mathematics , degrees of freedom (physics and chemistry) , component (thermodynamics) , krylov subspace , iterative method , mathematical optimization , mathematical analysis , physics , geometry , thermodynamics , quantum mechanics , economics , economic growth
Abstract We generalize the Guyan condensation of large symmetric eigenvalue problems to allow general degrees of freedom to be master variables. On one hand useful information from other condensation methods (such as Component Mode Synthesis) thus can be incorporated into the method. On the other hand this opens the way to iterative refinement of eigenvector approximations. Convergence of such a procedure follows from the result, that one step of (static) condensation is equivalent to one step of inverse subspace iteration. A short outlook on several applications is included.