Results 31 to 40 of about 12,585,660 (209)
Eigenvalue problems involving the fractional $p(x)$-Laplacian operator
Advances in Operator Theory, 2019 In this paper, we study a nonlocal eigenvalue problem involving variable exponent growth conditions, on a bounded domain Ω ⊂ R. Using adequate variational techniques, mainly based on Ekeland’s variational principle, we establish the existence of a ...
E. Azroul, A. Benkirane, M. Shimi
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Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems
International Journal of Analysis and Applications, 2023 This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
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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
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Stochastic gradient descent for optimization for nuclear systems
Scientific Reports, 2023 The use of gradient descent methods for optimizing k-eigenvalue nuclear systems has been shown to be useful in the past, but the use of k-eigenvalue gradients have proved computationally challenging due to their stochastic nature.
Austin Williams +5 more
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Virtual element method for second-order elliptic eigenvalue problems [PDF]
, 2016 We introduce the Virtual Element Method (VEM) for elliptic eigenvalue problems. The main result of the paper states that VEM provides an optimal order approximation of the eigenmodes. A wide set of numerical tests confirm the theoretical analysis.
F. Gardini, G. Vacca
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Higher-order sensitivity analysis of periodic 3-D eigenvalue problems for electromagnetic field calculations [PDF]
Advances in Radio Science, 2017 An algorithm to perform a higher-order sensitivity analysis for electromagnetic eigenvalue problems is presented. By computing the eigenvalue and eigenvector derivatives, the Brillouin Diagram for periodic structures can be calculated.
P. Jorkowski, R. Schuhmann
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A variational eigenvalue solver on a photonic quantum processor [PDF]
Nature Communications, 2013 Quantum computers promise to efficiently solve important problems that are intractable on a conventional computer. For quantum systems, where the physical dimension grows exponentially, finding the eigenvalues of certain operators is one such intractable
A. Peruzzo +7 more
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The eigenvalue complementarity problem [PDF]
Computational Optimization and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joaquim Júdice +2 more
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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
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Tensor eigenvalue complementarity problems [PDF]
Mathematical programming, 2016 This paper studies tensor eigenvalue complementarity problems. Basic properties of standard and complementarity tensor eigenvalues are discussed. We formulate tensor eigenvalue complementarity problems as constrained polynomial optimization.
Jin-Yan Fan, Jia-Wang Nie, An-Wa Zhou
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