A spectral approach to the Kaplansky problem
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
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Displaying similar documents to “The Direct and Inverse Spectral Problems for some Banded Matrices”
A spectral approach to the Kaplansky problem
Spectral Light as Sculptured Space
Irene Rousseau (2001)
Visual Mathematics
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Spectral properties of the adjoint operator and applications.
Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
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A sharp upper bound for the spectral radius of a nonnegative matrix and applications
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.
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 [...] .
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.
The upper estimate of the spectral radius of the isotonic operator in the space of continuous functions.
Rakhmatullina, L.F. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Spectral radius and seminorms in finite-dimensional algebras. II
Robert Grone, Peter D. Johnson, Jr. (1982)
Colloquium Mathematicae
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Spectral radius and seminorms in finite-dimensional algebras
Peter D. Johnson, Jr. (1978)
Colloquium Mathematicae
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An up-spectral space need not be -spectral.
Echi, Othman, Gargouri, Riyadh (2004)
The New York Journal of Mathematics [electronic only]
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Superconvexity of the Spectral Radius, and Convexity of the Spectral Bound and the Type.
Tosio Kato (1982)
Mathematische Zeitschrift
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On the spectral and Frobenius norm of a generalized Fibonacci r-circulant matrix
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.