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Osječki matematički list, Vol. 18 No. 1, 2018.

Professional paper

Generalized eigenproblem

Marija Miloloža Pandur orcid id orcid.org/0000-0003-2893-1897 ; Odjel za matematiku, Sveučilište u Osijeku
Marinela Pilj ; Odjel za matematiku, Sveučilište u Osijeku

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Abstract

In this paper we introduce the generalized eigenproblem for a given
matrix pair which is a generalization of the ordinary eigenproblem for
a single matrix. We point out the difficulties that appear before the
generalized eigenproblem can be defined. Also, we define equivalent
and simultaneously diagonalizable matrix pairs and show what this
concept means for the generalized eigenproblem.

Keywords

ordinary eigenproblem; generalized eigenproblem; eigenvalue; eigenvector; regular and singular matrix pair; equivalent matrix pairs

Hrčak ID:

203873

URI

https://hrcak.srce.hr/203873

Publication date:

20.7.2018.

Article data in other languages: croatian

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