Results 11 to 20 of about 613,974 (314)
On the eigenvalues of matrices [PDF]
Let A be an n×n matric with arbitrary complex elements and with eigen-values λ1, λ2, ..., λn. A method is described for the approximate determination of max | λj | ; characteristical is that prescribing a percentual error the number of elementary operations of the process, necessary to reach such precision, depends only on n and not on the elements of ...
P. Túrán
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Generalized eigenvalue problems with specified eigenvalues [PDF]
We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications.
D. Kressner +3 more
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Nonlinear Eigenvalue Problems with Specified Eigenvalues [PDF]
This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem $T$, we are concerned with finding the minimal backward error such that $T$ has a set of prescribed eigenvalues with prescribed algebraic multiplicities.
Michael Karow +2 more
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In this paper, we propose a new regularized (penalized) co-variance matrix estimator which encourages grouping of the eigenvalues by penalizing large differences (gaps) between successive eigenvalues. This is referred to as fusing eigenval-ues (eFusion), The proposed penalty function utilizes Tukey's biweight function that is widely used in robust ...
Ollila, Esa +4 more
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Count of eigenvalues in the generalized eigenvalue problem [PDF]
We study isolated and embedded eigenvalues in the generalized eigenvalue problem defined by two self-adjoint operators with a positive essential spectrum and a finite number of isolated eigenvalues. The generalized eigenvalue problem determines the spectral stability of nonlinear waves in infinite-dimensional Hamiltonian systems. The theory is based on
Marina Chugunova, Dmitry E. Pelinovsky
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Bicliques and Eigenvalues [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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48 pages, 2 figures, To appear in Annales de l ...
Favre, Charles, Jonsson, Mattias
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On eigenvalues and main eigenvalues of a graph [PDF]
Given the eigenvalues of a graph \(G\) on \(n\) vertices, for the \(i\)th eigenvalue of (a) the complement \(\overline G\) of \(G\), (b) the Seidel matrix of \(G\), and (c) a graph switching equivalent to \(G\), an interval containing this eigenvalue is determined. In addition, it is proved that the sum of all main eigenvalues of \(G\) (\(k\) in number)
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OPTIMIZATION OF 3D LOCAL ORIENTATION MAP CALCULATION IN THE MATLAB FRAMEWORK
This paper presents the development and evaluation of a new approach toward the optimization of 3D local orientation map calculation in the Matlab framework. This new approach can be detailed as: optimize eigenvector calculation for PCA analysis of X-ray
Ranya Al Darwich, Laurent Babout
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