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Invariant Subspaces: An Alternative for Introducing Eigenvectors and Eigenvalues
Annales de Didactique et de Sciences Cognitives, 2023 The concepts of eigenvalue and eigenvector are typically approached algorithmically in introductory linear algebra courses. However, a more conceptual orientation involves connecting these notions to the concept of one-dimensional invariant subspace ...
Gisela Camacho, Asuman Oktaç
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Dynamic Analysis for Soil - Structure Systems Using Dynamic Stiffness [PDF]
Engineering and Technology Journal, 2005 This paper gives exact dynamic stiffness coefficient for beam element with axial force embedded in elastic medium having normal and tangential soil reactions . These moduli of subgrade reactions are assumed to be constants along the length of the element
Mohamad Essa
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Spectral properties for a type of heptadiagonal symmetric matrices
AIMS Mathematics, 2023 In this paper we expressed the eigenvalues of a sort of heptadiagonal symmetric matrices as the zeros of explicit rational functions establishing upper and lower bounds for each of them. From the prescribed eigenvalues, we computed eigenvectors for these
João Lita da Silva
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Fast and accurate con-eigenvalue algorithm for optimal rational approximations [PDF]
, 2012 The need to compute small con-eigenvalues and the associated con-eigenvectors of positive-definite Cauchy matrices naturally arises when constructing rational approximations with a (near) optimally small $L^{\infty}$ error. Specifically, given a rational
Beylkin, G., Haut, T. S.
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Some properties on extended eigenvalues and extended eigenvectors
Tikrit Journal of Pure Science, 2019 In this paper, the study extended eigenvalues and extended eigenvectors, and we will investigate the and give for some concepts properties and result important, also we will find the and on the space, so U is Unilateral shift operator and .
Laith K. Shaakir, Anas A. Hijab
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On some operator equations in the space of analytic functions and related questions; pp. 81–87 [PDF]
Proceedings of the Estonian Academy of Sciences, 2013 We investigate extended eigenvalues, extended eigenvectors, and cyclicity problems for some convolution operators. By using the Duhamel product technique, we also estimate the norm of the inner derivation operator ÎA.
Mehmet Gürdal, Filiz Şöhret
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Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz
SciPost Physics Proceedings, 2023 The computation of the entanglement entropy for inhomogeneous free fermions chains based on $q$-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampé, Luc Vinet
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Design of Damping and Control Matrices by Modification of Eigenvalues and Eigenvectors
Shock and Vibration, 1994 Direct methods are presented, in state space, for design of control matrices for structures with and without initial viscous damping. given the desired changes in the eigenvalues and eigenvectors.
Vernon H. Neubert
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A note on the eigensystem of the covariance matrix of dichotomous Guttman items
Frontiers in Psychology, 2015 We consider the sample covariance matrix for dichotomous Guttman items under a set of uniformity conditions, and obtain closed-form expressions for the eigenvalues and eigenvectors of the matrix.
Clintin P Davis-Stober +2 more
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TASK Quarterly, 2021 This paper investigates the relationship between various types of spectral clustering methods and their kinship to relaxed versions of graph cut methods.
MIECZYSŁAW KŁOPOTEK +2 more
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