Results 181 to 190 of about 134,349 (198)
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2007
Eigenvalues and the associated eigenvectors of an endomorphism of a vector space are defined and studied, as is the spectrum of an endomorphism. The characteristic polynomial of a matrix is considered and used to define the characteristic polynomial of the endomorphism of a finitely-generated vector space.
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Eigenvalues and the associated eigenvectors of an endomorphism of a vector space are defined and studied, as is the spectrum of an endomorphism. The characteristic polynomial of a matrix is considered and used to define the characteristic polynomial of the endomorphism of a finitely-generated vector space.
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Bulletin of the London Mathematical Society, 1985
The author proves that an \(n\times n\) matrix A with quaternion entries has a quaternion eigenvalue \(\lambda\) in the sense that \(\lambda\) I-A fails to be invertible.
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The author proves that an \(n\times n\) matrix A with quaternion entries has a quaternion eigenvalue \(\lambda\) in the sense that \(\lambda\) I-A fails to be invertible.
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On Eigenvalues and Annealing Rates
Mathematics of Operations Research, 1988We evaluate asymptotically the eigenvalues of transition rate matrices (Qijϵ)i,j=1n with Qijϵ ∼ exp(−(U(j) − U(i))+/ϵ) for some function U using Ventcel's graphic method. As a consequence, we can compare the “nearly optimal” annealing rate in (Gidas, B. 1985. Global optimization via the Langevin equation. Proc. 24th IEEE Conf. Decision and Control, Ft.
Tzuu-Shuh Chiang, Yunshyong Chow
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SIAM Journal on Matrix Analysis and Applications, 1999
A new algorithm for computing the eigenvalues of a narrow-band, nearly tridiagonal upper Hessenberg matrix is introduced. The method called BR algorithm belongs to the family of the QR algorithms. The new method works well in conjuction with the look-ahead Lanczos process: it attempts to exploit and preserve the structure of the auxiliary matrix ...
Geist, G. A. +2 more
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A new algorithm for computing the eigenvalues of a narrow-band, nearly tridiagonal upper Hessenberg matrix is introduced. The method called BR algorithm belongs to the family of the QR algorithms. The new method works well in conjuction with the look-ahead Lanczos process: it attempts to exploit and preserve the structure of the auxiliary matrix ...
Geist, G. A. +2 more
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Isoperimetric Inequalities and Eigenvalues
SIAM Journal on Discrete Mathematics, 1997Summary: An upper bound is given on the minimum distance between \(i\) subsets of same size of a regular graph in terms of the \(i\)th largest eigenvalue in absolute value. This yields a bound on the diameter in terms of the \(i\)th largest eigenvalue for any integer \(i\). Our bounds are shown to be asymptotically tight for explicit families of graphs
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THE DISTRIBUTION OF THE EIGENVALUES IN CERTAIN EIGENVALUE PROBLEMS
The Quarterly Journal of Mathematics, 1964openaire +1 more source
AN EIGENVALUE PROBLEM WITH NONLINEAR DEPENDENCE OF THE EIGENVALUE
Hybrid Methods in Engineering, 2001Mikhail D. Mikhailov, B. R. Makaveev
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