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Model Reduction Methods for Solving Symmetric Rational Eigenvalue Problems
Author(s) -
Blömeling Frank,
Voss Heinrich
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410311
Subject(s) - reduction (mathematics) , dimension (graph theory) , rank (graph theory) , eigenvalues and eigenvectors , order (exchange) , model order reduction , mathematics , mathematical optimization , term (time) , dimensionality reduction , computer science , algorithm , combinatorics , artificial intelligence , physics , economics , geometry , projection (relational algebra) , finance , quantum mechanics
We consider large and sparse rational eigenproblems where the rational term is of low rank compared to the dimension of the problem. Exploiting model‐order reduction techniques the dimension can be reduced considerably, and problems of this type can be solved very efficiently. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)