Results 11 to 20 of about 5,908 (265)

Spherical Ruled Surfaces in S3 Characterized by the Spherical Gauss Map

open access: yesMathematics, 2020
The Laplace operator on a Riemannian manifold plays an important role with eigenvalue problems and the spectral theory. Extending such an eigenvalue problem of smooth maps including the Gauss map, the notion of finite-type was introduced.
Young Ho Kim, Sun Mi Jung
doaj   +1 more source

Qualitative properties of solutions to generalized eigenvalue problems [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThis paper investigates the qualitative properties of solutions to a fractional (p,)-Laplace eigenvalue problem with nonhomogeneous terms.
Abdelhamid Gouasmia   +2 more
doaj   +1 more source

Comparison of Numerical Methods and Open-Source Libraries for Eigenvalue Analysis of Large-Scale Power Systems

open access: yesApplied Sciences, 2020
This paper discusses the numerical solution of the generalized non-Hermitian eigenvalue problem. It provides a comprehensive comparison of existing algorithms, as well as of available free and open-source software tools, which are suitable for the ...
Georgios Tzounas   +3 more
doaj   +1 more source

Count of eigenvalues in the generalized eigenvalue problem [PDF]

open access: yesJournal 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
openaire   +2 more sources

Efficient Reduction Algorithms for Banded Symmetric Generalized Eigenproblems via Sequentially Semiseparable (SSS) Matrices

open access: yesMathematics, 2022
In this paper, a novel algorithm is proposed for reducing a banded symmetric generalized eigenvalue problem to a banded symmetric standard eigenvalue problem, based on the sequentially semiseparable (SSS) matrix techniques.
Fan Yuan   +6 more
doaj   +1 more source

A symmetry-protected exceptional ring in a photonic crystal with negative index media

open access: yesNanophotonics, 2023
Non-Hermitian topological band structures such as symmetry-protected exceptional rings (SPERs) can emerge for systems described by the generalized eigenvalue problem (GEVP) with Hermitian matrices. In this paper, we numerically analyze a photonic crystal
Isobe Takuma   +2 more
doaj   +1 more source

Nonlinear eigenvalue problems for generalized Painlevé equations [PDF]

open access: yesJournal of Physics A: Mathematical and Theoretical, 2019
25 pages, 5 figures, 1 ...
Carl M Bender   +2 more
openaire   +3 more sources

Parallel Generalized Real Symmetric-Definite Eigenvalue Problem

open access: yesJournal of Research of the National Institute of Standards and Technology, 2020
A computationally fast Fortran 90+ quadruple precision portable parallel GRSDEP (generalized real symmetric-definite eigenvalue problem) package suitable for large (80,000 x 80,000 or greater) dense matrices is discussed in this paper.
James S. Sims, María Belén Ruiz
openaire   +2 more sources

Asymptotic properties of the problem on eigenvibrations of the bar with attached load

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2020
The ordinary second-order differential eigenvalue problem describing eigenvibrations of an elastic bar with a load attached to its end was investigated. The problem has an increasing sequence of positive simple eigenvalues with a limit point at infinity.
A.A. Samsonov   +2 more
doaj   +1 more source

Recent advances in domain decomposition methods for large-scale saddle point problems

open access: yesComptes Rendus. Mécanique, 2022
Scalability of parallel solvers for problems with high heterogeneities relies on adaptive coarse spaces built from generalized eigenvalue problems in the subdomains.
Nataf, Frédéric   +1 more
doaj   +1 more source

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