On some spectral characteristics of multiparameter polynomial matrices.
Khazanov, V.B. (2004)
Zapiski Nauchnykh Seminarov POMI
Similarity:
Khazanov, V.B. (2004)
Zapiski Nauchnykh Seminarov POMI
Similarity:
Maksudov, F.G. (1997)
Memoirs on Differential Equations and Mathematical Physics
Similarity:
Clark, Sean, Li, Chi-Kwong, Rodman, Leiba (2008)
Banach Journal of Mathematical Analysis [electronic only]
Similarity:
Zagorodnyuk, S. M. (2011)
Serdica Mathematical Journal
Similarity:
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.
Adam Czornik, Piotr Jurgas (2006)
International Journal of Applied Mathematics and Computer Science
Similarity:
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.
Vlastimil Pták (1982)
Banach Center Publications
Similarity:
Mostafa Mbekhta, Jaroslav Zemánek (2007)
Banach Center Publications
Similarity:
P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
Similarity:
The paper is concerned with conditions guaranteeing that a bounded operator in a reflexive Banach space is a scalar type spectral operator. The cases where the spectrum of the operator lies on the real axis and on the unit circle are studied separately.
Xiaogen Chen (2015)
Special Matrices
Similarity:
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 [...] .
Irene Rousseau (2001)
Visual Mathematics
Similarity:
Benalili, Mohammed, Lansari, Azzedine (2005)
Lobachevskii Journal of Mathematics
Similarity:
Lihua You, Yujie Shu, Xiao-Dong Zhang (2016)
Czechoslovak Mathematical Journal
Similarity:
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.