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Applied Sciences, 2023 The calculation of accurate arbitrary-order sensitivities of eigenvalues and eigenvectors is crucial for structural analysis applications, including topology optimization, system identification, finite element model updating, damage detection, and fault ...
Juan C. Velasquez-Gonzalez +5 more
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DTI Brain Template Construction Based on Gaussian Averaging
Chinese Journal of Magnetic Resonance, 2022 The tensor data of subjects are usually averaged linearly over multiple channels to obtain the tensor template. However, linear averaging ignores the vector information in the tensor. Additionally, it will render the interface between the gray matter and
DENG Lan, WANG Yuan-jun
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Eigenvalue Expansion of Nonsymmetric Linear Compact Operators in Hilbert Space
Communications in Advanced Mathematical Sciences, 2021 For a symmetric linear compact resp. symmetric densely defined linear operator with compact inverse, expansion theorems in series of eigenvectors are known.
Ludwig Kohaupt
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MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS
Barekeng, 2021 Eigen problems and eigenmode are important components related to square matrices. In max-plus algebra, a square matrix can be represented in the form of a graph called a communication graph.
Eka Widia Rahayu +2 more
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Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]
Papers in Physics, 2010 This paper constructs methods for finding convergent expansions for eigenvectors and eigenvalues of large-$n$ Toeplitz matrices based on a situation in which the analogous infinite-$n$ matrix would be singular. It builds upon work done by Dai, Geary, and
Leo P. Kadanoff
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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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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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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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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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