Results 61 to 70 of about 2,643,042 (116)
On extended eigenvalues and extended eigenvectors of truncated shift [PDF]
arXiv, 2012 We give a complete description of the set of extended eigenvectors of truncated shifts defined on the model spaces K_u := H^2\ominus uH^2, in the case of u is a Blaschke product.
arxiv
Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Advanced Nonlinear Studies, 2020 By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
doaj +1 more source
How close are the eigenvectors and eigenvalues of the sample and actual covariance matrices? [PDF]
arXiv, 2017 How many samples are sufficient to guarantee that the eigenvectors and eigenvalues of the sample covariance matrix are close to those of the actual covariance matrix? For a wide family of distributions, including distributions with finite second moment and distributions supported in a centered Euclidean ball, we prove that the inner product between ...
arxiv
The low-rank eigenvalue problem [PDF]
arXiv, 2019 The nonzero eigenvalues of $AB$ are equal to those of $BA$: an identity that holds as long as the products are square, even when $A,B$ are rectangular. This fact naturally suggests an efficient algorithm for computing eigenvalues and eigenvectors of a low-rank matrix $X= AB$ with $A,B^T\in\mathbb{C}^{N\times r}, N\gg r$: form the small $r\times r ...
arxiv
Rank one perturbation with a generalized eigenvector [PDF]
arXiv, 2020 The relationship between the Jordan structures of two matrices sufficiently close has been largely studied in the literature, among which a square matrix $A$ and its rank one updated matrix of the form $A+xb^*$ are of special interest. The eigenvalues of $A+xb^*$, where $x$ is an eigenvector of $A$ and $b$ is an arbitrary vector, were first expressed ...
arxiv
Differentiable roots, eigenvalues, and eigenvectors [PDF]
Israel Journal of Mathematics, 2014 We determine the conditions for the existence of $C^p$-roots of curves of monic complex polynomials as well as for the existence of $C^p$-eigenvalues and $C^p$-eigenvectors of curves of normal complex matrices.
openaire +5 more sources
Genetics Selection Evolution, 2019 Background The dimensionality of genomic information is limited by the number of independent chromosome segments (M e ), which is a function of the effective population size.
Ivan Pocrnic +3 more
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Strict localization of eigenvectors and eigenvalues [PDF]
arXiv, 2012 In this article we show and implement a simple and effcient method to strictly locate eigenvectors and eigenvalues of a given matrix, based on the modified cone condition. As a consequence we can also effectively localize zeros of complex polynomials.
arxiv
Perfect state transfer in unitary Cayley graphs over local rings [PDF]
Transactions on Combinatorics, 2014 In this work, using eigenvalues and eigenvectors of unitary Cayley graphs over finite local rings and elementary linear algebra, we characterize which local rings allowing PST occurring in its unitary Cayley graph.
Yotsanan Meemark , Songpon Sriwongsa
doaj
Classifications of surface waves in magneto-electro-elastic materials
Results in Physics, 2023 The present study investigates the classifications of surface waves in magneto-electro-elastic materials. First, the standard eigenrelation, relating to the generalized displacement and the generalized tractions, is derived from the governing equations ...
Li Li, Man Lan, Peijun Wei, Qian Zhang
doaj