Algorithms. 42. BISEC. The eigenvalues of the symmetric eigenproblem and related eigenproblems
Lubomír Skála (1977)
Aplikace matematiky
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Displaying similar documents to “Algorithms. 40. NEGEIG. Distribution of the eigenvalues of eigenproblem ”
Algorithms. 42. BISEC. The eigenvalues of the symmetric eigenproblem and related eigenproblems
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.
Central limit theorems for eigenvalues of deformations of Wigner matrices
M. Capitaine, C. Donati-Martin, D. Féral (2012)
Annales de l'I.H.P. Probabilités et statistiques
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In this paper, we study the fluctuations of the extreme eigenvalues of a spiked finite rank deformation of a Hermitian (resp. symmetric) Wigner matrix when these eigenvalues separate from the bulk. We exhibit quite general situations that will give rise to universality or non-universality of the fluctuations, according to the delocalization or localization of the eigenvectors of the perturbation. Dealing with the particular case of a spike with multiplicity one, we also establish a necessary...
Simultaneous triangularization of commuting matrices for the solution of polynomial equations
Vanesa Cortés, Juan Peña, Tomas Sauer (2012)
Open Mathematics
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We present an extension of the QR method to simultaneously compute the joint eigenvalues of a finite family of commuting matrices. The problem is motivated by the task of finding solutions of a polynomial system. Several examples are included.
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...
Eigenvalues of infinite matrices
H. Hanani, E. Netanyahu, M. Reichaw (1968)
Colloquium Mathematicae
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A refined unsymmetric Lanczos eigensolver for computing accurate eigentriplets of a real unsymmetric matrix.
Tremblay, Jean Christophe, Carrington, Tucker jun. (2007)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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