Locating eigenvalues of quadratic matrix polynomials

The location of the roots of a quadratic scalar polynomial may be identified from its coefficients. This paper shows that when the coefficients of the polynomial are square matrices, then appropriate generalizations of some of these statements hold for the eigenvalues of the resulting quadratic matr...

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Veröffentlicht in:	Linear algebra and its applications 2022-09, Vol.649, p.452-490
Hauptverfasser:	Roy, Nandita, Bora, Shreemayee
Format:	Artikel
Sprache:	eng
Schlagworte:	Block Geršgorin sets Eigenvalue localizations Eigenvalues Linear algebra Mathematical analysis Polynomials Quadratic matrix polynomials Structured quadratic matrix polynomials Upper bounds Vector spaces
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