New bounds for the Eigenvalues of Matrix Polynomials
نویسندگان
چکیده
We employ several numerical radius inequalities to the square of Frobenius companion matrices monic matrix polynomials provide new bounds for eigenvalues these polynomials.
منابع مشابه
Bounds for eigenvalues of matrix polynomials
Upper and lower bounds are derived for the absolute values of the eigenvalues of a matrix polynomial (or λ-matrix). The bounds are based on norms of the coefficient matrices and involve the inverses of the leading and trailing coefficient matrices. They generalize various existing bounds for scalar polynomials and single matrices. A variety of tools are used in the derivations, including block ...
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Article history: Received 25 January 2014 Accepted 9 October 2014 Available online 5 November 2014 Submitted by F. Dopico MSC: 65F15 65F18 47A56
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ژورنال
عنوان ژورنال: European Journal of Pure and Applied Mathematics
سال: 2023
ISSN: ['1307-5543']
DOI: https://doi.org/10.29020/nybg.ejpam.v16i2.4706