A Unified Approach to Enclosure Methods for Eigenpairs
Giovanna Castro Lemos Mayer · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 1994
Abstract 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.