Results 21 to 30 of about 30,879 (264)
Eigenvalue and Generalized Eigenvalue Problems: Tutorial
CoRR, 2019 This paper is a tutorial for eigenvalue and generalized eigenvalue problems. We first introduce eigenvalue problem, eigen-decomposition (spectral decomposition), and generalized eigenvalue problem. Then, we mention the optimization problems which yield to the eigenvalue and generalized eigenvalue problems. We also provide examples from machine learning,
Benyamin Ghojogh +2 more
openaire +3 more sources
STUDY OF THE EIGENVALUE SPECTRA OF THE NEUTRON TRANSPORT PROBLEM IN PN APPROXIMATION [PDF]
EPJ Web of Conferences, 2021 The study of the steady-state solutions of neutron transport equation requires the introduction of appropriate eigenvalues: this can be done in various different ways by changing each of the operators in the transport equation; such modifications can be ...
Saracco P. +4 more
doaj +1 more source
On optimum design of a vibrating plate with respect to its thickness and eigen-frequencies
Computer Assisted Methods in Engineering and Science, 2023 The eigenvalue optimization problem for anisotropic plates has been dealt with. The variable thickness of a plate plays the role of a design variable. The state problem arises considering free vibrations of a plate.
Igor Bock, Ján Lovíšek
doaj
On thickness optimization of an unilaterally supported anisotropic plate subjected to buckling
Computer Assisted Methods in Engineering and Science, 2023 We shall be dealing with the eigenvalue optimization problem for an anisotropic plate. The plate is partly unilaterally supported on its boundary and subjected to longitudinal forces causing its buckling.
Igor Bock, Jan Lovisek
doaj
The eigenvalue complementarity problem [PDF]
Computational Optimization and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joaquim Júdice +2 more
openaire +4 more sources
An Eigenvalue Problem for Nonlocal Equations
Bruno Pini Mathematical Analysis Seminar, 2016 In this paper we study the existence of a positive weak solution for a class of nonlocal equations under Dirichlet boundary conditions and involving the regional fractional Laplacian operator...Our result extends to the fractional setting some theorems ...
Giovanni Molica Bisci +1 more
doaj +1 more source
Quaternionic eigenvalue problem [PDF]
Journal of Mathematical Physics, 2002 We discuss the (right) eigenvalue equation for ℍ, ℂ and ↛ linear quaternionic operators. The possibility to introduce an isomorphism between these operators and real/complex matrices allows us to translate the quaternionic problem into an equivalent real or complex counterpart. Interesting applications are found in solving differential equations within
DE LEO S, SCOLARICI G, SOLOMBRINO, Luigi
openaire +4 more sources
FEAST for Differential Eigenvalue Problems [PDF]
SIAM Journal on Numerical Analysis, 2020 Expanded discussion for clarity in several places, revised statement of theorem 5.2 for ...
Andrew J. Horning, Alex Townsend
openaire +3 more sources
Approximation of the Minimal Eigenvalue for a Nonlinear Sturm–Liouville Problem [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 Properties of the minimal eigenvalue corresponding to the positive eigenfunction of a nonlinear eigenvalue problem for an ordinary differential equation are studied. This problem is approximated by a mesh scheme of the finite element method. The error of
V.S. Zheltukhin +2 more
doaj
The Diagonalizable Nonnegative Inverse Eigenvalue Problem
Special Matrices, 2018 In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
doaj +1 more source