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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Displaying similar documents to “On a classic example in the nonnegative inverse eigenvalue problem.”
On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue.
On some spectral characteristics of multiparameter polynomial matrices.
Khazanov, V.B. (2004)
Zapiski Nauchnykh Seminarov POMI
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New bounds for the minimum eigenvalue ofM-matrices
Feng Wang, Deshu Sun (2016)
Open Mathematics
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Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.
A bound for the spectral variation of two matrices.
Gil, Michael I. (2002)
Applied Mathematics E-Notes [electronic only]
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Eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries
S. Kouachi (2008)
Applicationes Mathematicae
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We give explicit expressions for the eigenvalues and eigenvectors of some tridiagonal matrices with non-constant diagonal entries. Our techniques are based on the theory of recurrent sequences.
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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Nonnegative matrices with prescribed elementary divisors.
Soto, Ricardo L., Ccapa, Javier (2008)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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A Hadamard product involving inverse-positive matrices
Gassó Maria T., Torregrosa Juan R., Abad Manuel (2015)
Special Matrices
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In this paperwe study the Hadamard product of inverse-positive matrices.We observe that this class of matrices is not closed under the Hadamard product, but we show that for a particular sign pattern of the inverse-positive matrices A and B, the Hadamard product A ◦ B−1 is again an inverse-positive matrix.
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.
Perturbation theorems for the matrix eigenvalue problem
Elsner, L. (1985-1986)
Portugaliae mathematica
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A note on certain ergodicity coeflcients
Francesco Tudisco (2015)
Special Matrices
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We investigate two ergodicity coefficients ɸ ∥∥ and τn−1, originally introduced to bound the subdominant eigenvalues of nonnegative matrices. The former has been generalized to complex matrices in recent years and several properties for such generalized version have been shown so far.We provide a further result concerning the limit of its powers. Then we propose a generalization of the second coefficient τ n−1 and we show that, under mild conditions, it can be used to recast the eigenvector...