# A method to rigorously enclose eigenpairs of complex interval matrices

Castelli, Roberto; Lessard, Jean-Philippe

- Applications of Mathematics 2013, Publisher: Institute of Mathematics AS CR(Prague), page 21-32

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topCastelli, Roberto, and Lessard, Jean-Philippe. "A method to rigorously enclose eigenpairs of complex interval matrices." Applications of Mathematics 2013. Prague: Institute of Mathematics AS CR, 2013. 21-32. <http://eudml.org/doc/287778>.

@inProceedings{Castelli2013,

abstract = {In this paper, a rigorous computational method to enclose eigenpairs of complex interval matrices is proposed. Each eigenpair $x=(\lambda ,)$ 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 $\{\em radii polynomials\}$, which provide an efficient mean of determining a domain on which the contraction mapping theorem is applicable.},

author = {Castelli, Roberto, Lessard, Jean-Philippe},

booktitle = {Applications of Mathematics 2013},

keywords = {eigenvalue; eigenvector; interval arithmetic; complex matrix},

location = {Prague},

pages = {21-32},

publisher = {Institute of Mathematics AS CR},

title = {A method to rigorously enclose eigenpairs of complex interval matrices},

url = {http://eudml.org/doc/287778},

year = {2013},

}

TY - CLSWK

AU - Castelli, Roberto

AU - Lessard, Jean-Philippe

TI - A method to rigorously enclose eigenpairs of complex interval matrices

T2 - Applications of Mathematics 2013

PY - 2013

CY - Prague

PB - Institute of Mathematics AS CR

SP - 21

EP - 32

AB - In this paper, a rigorous computational method to enclose eigenpairs of complex interval matrices is proposed. Each eigenpair $x=(\lambda ,)$ 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 ${\em radii polynomials}$, which provide an efficient mean of determining a domain on which the contraction mapping theorem is applicable.

KW - eigenvalue; eigenvector; interval arithmetic; complex matrix

UR - http://eudml.org/doc/287778

ER -

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