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 “Spectral radius preservers of products of monnegative matrices.”
To solving multiparameter problems of algebra. 6. Spectral characteristics of polynomial matrices.
On some spectral characteristics of multiparameter polynomial matrices.
Khazanov, V.B. (2004)
Zapiski Nauchnykh Seminarov POMI
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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.
Survey of some results in spectral theory obtained in Prague
Vlastimil Pták (1982)
Banach Center Publications
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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.
The boundary of the spectrum of a linear Operatoro
Taylor, A. E.
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On the characterization of scalar type spectral operators
P. A. Cojuhari, A. M. Gomilko (2008)
Studia Mathematica
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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.
Comparison of joint spectra for certain classes of commuting operators
Alan McIntosh, Alan Pryde, Werner Ricker (1988)
Studia Mathematica
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On the joint spectral radius of a nilpotent Lie algebra of matrices
Enrico Boasso (1999)
Studia Mathematica
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For a complex nilpotent finite-dimensional Lie algebra of matrices, and a Jordan-Hölder basis of it, we prove a spectral radius formula which extends a well-known result for commuting matrices.
Spectral structures and uniform continuity
Solomon Leader (1967)
Fundamenta Mathematicae
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