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A Method to Rigorously Enclose Eigendecompositions of Interval Matrices by Castelli, Roberto; Lessard, Jean-Philippe is a scholarly article available to read on EtoBox.

What is A Method to Rigorously Enclose Eigendecompositions of Interval Matrices about?

In this paper, a rigorous computational method to enclose eigendecompositions of complex interval matrices is proposed. Each eigenpair $x=(\lambda,v)$ is found by solving a nonlinear equation of the form $f(x)=0$ via a contraction argument. The set-up of the method relies on the notion of radii polynomials, which provide an efficient mean of determining a domain on which the contraction mapping theorem is applicable.

Author

Castelli, Roberto; Lessard, Jean-Philippe

Published

2011

Language

EN