Results 11 to 20 of about 28,556 (267)

A Fractal Eigenvector

open access: yesThe American Mathematical Monthly, 2022
The recursively-constructed family of Mandelbrot matrices $M_n$ for $n=1$, $2$, $\ldots$ have nonnegative entries (indeed just $0$ and $1$, so each $M_n$ can be called a binary matrix) and have eigenvalues whose negatives $-λ= c$ give periodic orbits under the Mandelbrot iteration, namely $z_k = z_{k-1}^2+c$ with $z_0=0$, and are thus contained in the ...
Neil J. Calkin   +4 more
openaire   +2 more sources

Linearizable Eigenvector Nonlinearities

open access: yesSIAM Journal on Matrix Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rob Claes   +3 more
openaire   +3 more sources

Eigenvectors and Reconstruction [PDF]

open access: yesThe Electronic Journal of Combinatorics, 2007
In this paper, we study the simple eigenvectors of two hypomorphic matrices using linear algebra. We also give new proofs of results of Godsil and McKay.
openaire   +3 more sources

On the eigenvectors of p-Laplacian [PDF]

open access: yesMachine Learning, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dijun Luo   +3 more
openaire   +2 more sources

Convergence of Eigenvector Continuation [PDF]

open access: yesPhysical Review Letters, 2021
Eigenvector continuation is a computational method that finds the extremal eigenvalues and eigenvectors of a Hamiltonian matrix with one or more control parameters. It does this by projection onto a subspace of eigenvectors corresponding to selected training values of the control parameters.
Avik Sarkar, Dean Lee
openaire   +3 more sources

Eigenvectors of Tensors—A Primer [PDF]

open access: yesActa Applicandae Mathematicae, 2018
We give an introduction to the theory and to some applications of eigenvectors of tensors (in other words, invariant one-dimensional subspaces of homogeneous polynomial maps), including a review of some concepts that are useful for their discussion. The intent is to give practitioners an overview of fundamental notions, results and techniques.
openaire   +2 more sources

Asymmetric tensor representations in micropolar continuum mechanics theories

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019
In this paper, new representations of three-dimensional asymmetric stress tensor and the corresponding form of the differential equilibrium equations are given.
Yuri Nikolaevich Radayev
doaj   +1 more source

一类矩阵特征值的不等式及其在Fischer不等式证明中的应用(An eigenvalue inequality of a class of matrices and its applications in proving the Fischer inequality)

open access: yesZhejiang Daxue xuebao. Lixue ban, 2017
The Hadamard inequality and Fischer inequality play an important role in the matrix study. Many articles have addressed these inequalities providing new proofs, noteworthy extensions, generalizations, refinements, counterparts and applications.
ZHANGHuamin(张华民)   +1 more
doaj   +1 more source

Transient Stability Analysis of a Transmission Network Using Eigenvalue Principles with Automated VAR Compensation: A Case Study of the Nigerian Eastern Grid

open access: yesEnergies, 2021
Power systems may encounter disturbances during operation as a result of switching of various components, etc. Such perturbations include transformer tap-changing action, load variations, and line outages due to various types of faults of which an earth ...
Ewaoche John Okampo   +2 more
doaj   +1 more source

Linearizability of eigenvector nonlinearities

open access: yesCoRR, 2021
We present a method to linearize, without approximation, a specific class of eigenvalue problems with eigenvector nonlinearities (NEPv), where the nonlinearities are expressed by scalar functions that are defined by a quotient of linear functions of the eigenvector.
Claes, Rob   +3 more
openaire   +2 more sources

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