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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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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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Trimmed sampling algorithm for the noisy generalized eigenvalue problem
Physical Review Research, 2023 Solving the generalized eigenvalue problem is a useful method for finding energy eigenstates of large quantum systems. It uses projection onto a set of basis states which are typically not orthogonal.
Caleb Hicks, Dean Lee
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THE EXISTENCE OF SOLUTION OF GENERALIZED EIGENPROBLEM IN INTERVAL MAX-PLUS ALGEBRA
Barekeng, 2023 An eigenproblem of a matrix is where and . Vector and are eigenvector and eigenvalue, respectively. General form of eigenvalue problem is with , .
Siswanto Siswanto
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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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One-Shot Distributed Generalized Eigenvalue Problem (DGEP): Concept, Algorithm and Experiments
Applied Sciences, 2022 This paper focuses on the design of a distributed algorithm for generalized eigenvalue problems (GEPs) in one-shot communication. Since existing distributed methods for eigenvalue decomposition cannot be applied to GEP, a general one-shot distributed GEP
Kexin Lv +4 more
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Quantum algorithms for the generalized eigenvalue problem [PDF]
Quantum Information Processing, 2021 The generalized eigenvalue (GE) problems are of particular importance in various areas of science engineering and machine learning. We present a variational quantum algorithm for finding the desired generalized eigenvalue of the GE problem, $\mathcal{A}|ψ\rangle=λ\mathcal{B}|ψ\rangle$, by choosing suitable loss functions.
Jin-Min Liang +3 more
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ADAPTIVE SOLUTION OF THE NEUTRON DIFFUSION EQUATION WITH HETEROGENEOUS COEFFICIENTS USING THE MIXED FINITE ELEMENT METHOD ON STRUCTURED MESHES [PDF]
EPJ Web of Conferences, 2021 The neutron transport equation can be used to model the physics of the nuclear reactor core. Its solution depends on several variables and requires a lot of high precision computations.
Do Minh-Hieu +2 more
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Count of eigenvalues in the generalized eigenvalue problem [PDF]
Journal of Mathematical Physics, 2010 We study isolated and embedded eigenvalues in the generalized eigenvalue problem defined by two self-adjoint operators with a positive essential spectrum and a finite number of isolated eigenvalues. The generalized eigenvalue problem determines the spectral stability of nonlinear waves in infinite-dimensional Hamiltonian systems. The theory is based on
Chugunova, Marina, Pelinovsky, Dmitry
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