Results 1 to 10 of about 19,138 (302)

Some properties on extended eigenvalues and extended eigenvectors

open access: diamondTikrit 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
doaj   +3 more sources

Arbitrary-Order Sensitivity Analysis of Eigenfrequency Problems with Hypercomplex Automatic Differentiation (HYPAD)

open access: yesApplied 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
doaj   +1 more source

DTI Brain Template Construction Based on Gaussian Averaging

open access: yesChinese 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
doaj   +1 more source

Eigenvalue Expansion of Nonsymmetric Linear Compact Operators in Hilbert Space

open access: yesCommunications 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
doaj   +1 more source

MASALAH EIGEN DAN EIGENMODE MATRIKS ATAS ALJABAR MIN-PLUS

open access: yesBarekeng, 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
doaj   +1 more source

Expansions for eigenfunction and eigenvalues of large-$n$ Toeplitz matrices [PDF]

open access: yesPapers 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
doaj   +1 more source

Invariant Subspaces: An Alternative for Introducing Eigenvectors and Eigenvalues

open access: yesAnnales 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
doaj   +1 more source

ON THE SPECTRA OF TENSOR JOIN OF HYPERGRAPHS [PDF]

open access: yesJournal of Algebraic Systems
In this paper, we consider certain classes of hypergraphs constructed from the tensor join of hypergraphs, specifically the tensor join of hypergraphs constrained by vertex subsets and the $(H, \mathcal{T}_{\mathcal{S}})$-join of hypergraphs constrained ...
Vishnupriya Ramkumar, Rajkumar Rajendran
doaj   +1 more source

Dynamic Analysis for Soil - Structure Systems Using Dynamic Stiffness [PDF]

open access: yesEngineering 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
doaj   +1 more source

On Differentiating Eigenvalues and Eigenvectors [PDF]

open access: yesEconometric Theory, 1985
Let X0 be a square matrix (complex or otherwise) and u0 a (normalized) eigenvector associated with an eigenvalue λo of X0, so that the triple (X0, u0, λ0) satisfies the equations Xu = λu, . We investigate the conditions under which unique differentiable functions λ(X) and u(X) exist in a neighborhood of X0 satisfying λ(X0) = λO, u(X0) = u0, Xu = λu ...
openaire   +4 more sources

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