To solving multiparameter problems of algebra. 6. Spectral characteristics of polynomial matrices.
Kublanovskaya, V.N. (2005)
Zapiski Nauchnykh Seminarov POMI
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Displaying similar documents to “On some spectral characteristics of multiparameter polynomial matrices.”
To solving multiparameter problems of algebra. 6. Spectral characteristics of polynomial matrices.
Some problems of the spectral theory of operator pencils.
Maksudov, F.G. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Some properties of the spectral radius of a set of matrices
Adam Czornik, Piotr Jurgas (2006)
International Journal of Applied Mathematics and Computer Science
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In this paper we show new formulas for the spectral radius and the spectral subradius of a set of matrices. The advantage of our results is that we express the spectral radius of any set of matrices by the spectral radius of a set of symmetric positive definite matrices. In particular, in one of our formulas the spectral radius is expressed by singular eigenvalues of matrices, whereas in the existing results it is expressed by eigenvalues.
Spectral radius preservers of products of monnegative matrices.
Clark, Sean, Li, Chi-Kwong, Rodman, Leiba (2008)
Banach Journal of Mathematical Analysis [electronic only]
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A bound for the spectral variation of two matrices.
Gil, Michael I. (2002)
Applied Mathematics E-Notes [electronic only]
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On a classic example in the nonnegative inverse eigenvalue problem.
Laffey, Thomas J., Šmigoc, Helena (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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On a devil’s staircase associated to the joint spectral radii of a family of pairs of matrices
Ian D. Morris, Nikita Sidorov (2013)
Journal of the European Mathematical Society
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The joint spectral radius of a finite set of real matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous work with K. G. Hare and J. Theys we showed that for a certain one-parameter family of pairs of matrices, this maximum possible rate of growth is attained along Sturmian sequences with a certain characteristic ratio which depends continuously upon the parameter. In this note we answer some open questions...
Vandermonde Matrices on the Circle: Spectral Properties and Conditioning.
W. Gautschi, A. Córdova, ... (1990)
Numerische Mathematik
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The Direct and Inverse Spectral Problems for some Banded Matrices
Zagorodnyuk, S. M. (2011)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 15A29. In this paper we introduced a notion of the generalized spectral function for a matrix J = (gk,l)k,l = 0 Ґ, gk,l О C, such that gk,l = 0, if |k-l | > N; gk,k+N = 1, and gk,k-N № 0. Here N is a fixed positive integer. The direct and inverse spectral problems for such matrices are stated and solved. An integral representation for the generalized spectral function is obtained.
Spectral Methods with Sparse Matrices.
Wilhelm Heinrichs (1989/90)
Numerische Mathematik
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On the joint spectral radius of commuting matrices
Rajendra Bhatia, Tirthankar Вhattacharyya (1995)
Studia Mathematica
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For a commuting n-tuple of matrices we introduce the notion of a joint spectral radius with respect to the p-norm and prove a spectral radius formula.
Existence of matrices with prescribed entries.
Ion Zaballa (1986)
Extracta Mathematicae
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On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue.
Ikramov, Kh.D., Nazari, A.M. (2005)
Zapiski Nauchnykh Seminarov POMI
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A new bound for the spectral radius of Brualdi-Li matrices
Xiaogen Chen (2015)
Special Matrices
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Let B2m denote the Brualdi-Li matrix of order 2m, and let ρ2m = ρ(B2m ) denote the spectral radius of the Brualdi-Li Matrix. Then [...] . where m > 2, e = 2.71828 · · · , [...] and [...] .