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A Unified Approach to Enclosure Methods for Eigenpairs
Author(s) -
Mayer G.
Publication year - 1994
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/zamm.19940740215
Subject(s) - class (philosophy) , enclosure , taylor series , computer science , mathematics , algebra over a field , calculus (dental) , algorithm , mathematical analysis , pure mathematics , artificial intelligence , medicine , telecommunications , dentistry
We consider a class of methods for verifying and enclosing eigenpairs of real and complex matrices. The class is based on a Taylor expansion which allows to derive properties holding for each member of the class. We generalize these results to the case of enclosing simultaneously eigenpairs for all matrices which vary between given bounds.