Results 1 to 10 of about 198,875 (210)

A teaching proposal for the study of Eigenvectors and Eigenvalues

open access: goldJournal of Technology and Science Education, 2017
In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues.
María José Beltrán Meneu   +2 more
doaj   +3 more sources

Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors [PDF]

open access: greenInternational Symposium on Symbolic and Algebraic Computation, 2018
A fundamental problem in computational algebraic geometry is the computation of the resultant. A central question is when and how to compute it as the determinant of a matrix whose elements are the coefficients of the input polynomials up-to sign.
Matías R. Bender   +3 more
openalex   +3 more sources

On Approximating the eigenvalues and eigenvectors of linear continuous operators

open access: greenJournal of Numerical Analysis and Approximation Theory, 1997
Not available.
Emil Cătinaş, I Păvăloiu
doaj   +3 more sources

Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices [PDF]

open access: yes, 2014
We consider random matrices of the form $H = W + \lambda V$, $\lambda\in\mathbb{R}^+$, where $W$ is a real symmetric or complex Hermitian Wigner matrix of size $N$ and $V$ is a real bounded diagonal random matrix of size $N$ with i.i.d.\ entries that are
Lee, Ji Oon, Schnelli, Kevin
core   +3 more sources

Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators

open access: yesApplied and Numerical Harmonic Analysis, 2015
The almost Mathieu operator is the discrete Schr\"odinger operator $H_{\alpha,\beta,\theta}$ on $\ell^2(\mathbb{Z})$ defined via $(H_{\alpha,\beta,\theta}f)(k) = f(k + 1) + f(k - 1) + \beta \cos(2\pi \alpha k + \theta) f(k)$. We derive explicit estimates
Strohmer, Thomas, Wertz, Tim
core   +2 more sources

Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters [PDF]

open access: yesMathematics of Computation, 2020
This paper presents a posteriori error estimates for conforming numerical approximations of eigenvalue clusters of second-order self-adjoint elliptic linear operators with compact resolvent.
É. Cancès   +4 more
semanticscholar   +1 more source

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

The eigenvectors-eigenvalues identity and Sun's conjectures on determinants and permanents [PDF]

open access: yesLinear and multilinear algebra, 2022
In this paper, we prove several conjectures raised by Zhi-Wei Sun on determinants and permanents by the eigenvectors-eigenvalues identity recently highlighted by Denton, Parke, Tao and Zhang.
Xuejun Guo, Xin Li, Zhengyu Tao, Tao Wei
semanticscholar   +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

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