On spectral variations under bounded real matrix perturbations.
D. Hinrichsen, A.J. Pritchard (1991/92)
Numerische Mathematik
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D. Hinrichsen, A.J. Pritchard (1991/92)
Numerische Mathematik
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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 [...] .
Gil, Michael I. (2002)
Applied Mathematics E-Notes [electronic only]
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Lihua You, Yujie Shu, Xiao-Dong Zhang (2016)
Czechoslovak Mathematical Journal
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We obtain a sharp upper bound for the spectral radius of a nonnegative matrix. This result is used to present upper bounds for the adjacency spectral radius, the Laplacian spectral radius, the signless Laplacian spectral radius, the distance spectral radius, the distance Laplacian spectral radius, the distance signless Laplacian spectral radius of an undirected graph or a digraph. These results are new or generalize some known results.
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.
Jorma K. Merikoski, Pentti Haukkanen, Mika Mattila, Timo Tossavainen (2018)
Special Matrices
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Consider the recursion g0 = a, g1 = b, gn = gn−1 + gn−2, n = 2, 3, . . . . We compute the Frobenius norm of the r-circulant matrix corresponding to g0, . . . , gn−1. We also give three lower bounds (with equality conditions) for the spectral norm of this matrix. For this purpose, we present three ways to estimate the spectral norm from below in general.
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.
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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Elsner, L. (1985-1986)
Portugaliae mathematica
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Stevanović, Dragan, Hansen, Pierre (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Ikramov, Kh.D., Nazari, A.M. (2005)
Zapiski Nauchnykh Seminarov POMI
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Tosio Kato (1982)
Mathematische Zeitschrift
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