منابع مشابه
A matrix approach to polynomials
We present a matrix formalism to study univariate polynomials. The structure of this formalism is beautiful enough to be worth seeing on its own, yet we give (another) motivation to this by presenting three new theorems and applying the formalism to give new proofs of some known results. © 2002 Elsevier Science Inc. All rights reserved. AMS classification: 11C08; 15A36; 11B68; 11B73
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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...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2003
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(02)00421-4