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Generalized eigenvalue problems [PDF]
Annals of Physics, 1967 Abstract We examine the equation L(λψ = 0, where L is a linear operator of the usual sort, except that it is not necessarily self-adjoint, and its dependence on the eigenvalue parameter λ is not necessarily linear. Variational principles, normalization of eigenfunctions, resolution of the identity and operator inversion are some of the aspects ...
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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
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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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SUPER-HISTORY METHODS FOR ADJOINT-WEIGHTED TALLIES IN MONTE CARLO TIME EIGENVALUE CALCULATIONS [PDF]
EPJ Web of Conferences, 2021 Time eigenvalues emerge in several key applications related to neutron transport problems, including reactor start-up and reactivity measurements.
Filiciotto F., Jinaphanh A., Zoia A.
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Generalized eigenvalue problems with specified eigenvalues [PDF]
IMA Journal of Numerical Analysis, 2013 We consider the distance from a (square or rectangular) matrix pencil to the nearest matrix pencil in 2-norm that has a set of specified eigenvalues. We derive a singular value optimization characterization for this problem and illustrate its usefulness for two applications.
D. Kressner +3 more
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Controlled precision QUBO-based algorithm to compute eigenvectors of symmetric matrices
PLoS ONE, 2022 We describe an algorithm to compute the extremal eigenvalues and corresponding eigenvectors of a symmetric matrix which is based on solving a sequence of Quadratic Binary Optimization problems.
Benjamin Krakoff +2 more
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Analytical solutions to some generalized and polynomial eigenvalue problems
Special Matrices, 2021 It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
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Penalized Versus Constrained Generalized Eigenvalue Problems [PDF]
Journal of Computational and Graphical Statistics, 2017 18 pages, 8 ...
Gaynanova, Irina +2 more
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Results in Applied Mathematics, 2020 The interior elastic transmission eigenvalue problem, arising from the inverse scattering theory of non-homogeneous elastic media, is nonlinear, non-self-adjoint and of fourth order.
Xia Ji, Peijun Li, Jiguang Sun
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Grouped variable selection for generalized eigenvalue problems [PDF]
Signal Processing, 2022 Many problems require the selection of a subset of variables from a full set of optimization variables. The computational complexity of an exhaustive search over all possible subsets of variables is, however, prohibitively expensive, necessitating more efficient but potentially suboptimal search strategies.
Dan, Jonathan +2 more
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