Distance bounds for prescribed multiple eigenvalues of matrix polynomials
نویسندگان
چکیده
منابع مشابه
On the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues
Consider an n × <span style="fon...
متن کاملon the distance from a matrix polynomial to matrix polynomials with two prescribed eigenvalues
consider an n × n matrix polynomial p(λ). a spectral norm distance from p(λ) to the set of n × n matrix polynomials that havea given scalar µ ∈ c as a multiple eigenvalue was introducedand obtained by papathanasiou and psarrakos. they computedlower and upper bounds for this distance, constructing an associated perturbation of p(λ). in this paper, we extend this resultto the case of two given di...
متن کاملBounds 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 ...
متن کاملThe distance from a matrix polynomial to matrix polynomials with a prescribed multiple eigenvalue
For a matrix polynomial P (λ) and a given complex number μ, we introduce a (spectral norm) distance from P (λ) to the matrix polynomials that have μ as an eigenvalue of geometric multiplicity at least κ, and a distance from P (λ) to the matrix polynomials that have μ as a multiple eigenvalue. Then we compute the first distance and obtain bounds for the second one, constructing associated pertur...
متن کاملMatrix polynomials with specified eigenvalues
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: Linear Algebra and its Applications
سال: 2012
ISSN: 0024-3795
DOI: 10.1016/j.laa.2012.01.003