[HTML][HTML] Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems
We present a semi-analytical approach to compute quasi-guided elastic wave modes in
horizontally layered structures radiating into unbounded fluid or solid media. This problem is …
horizontally layered structures radiating into unbounded fluid or solid media. This problem is …
A new algorithm using L-BFGS for two-parameter eigenvalue problems from Lamé's system and simulation
We deal with the challenges and solutions for two-parameter eigenvalue problems (TPEPs)
involving large-scale various dense coefficient matrices using several numerical methods …
involving large-scale various dense coefficient matrices using several numerical methods …
On Multiparameter Spectral Theory of 3-Parameter Aeroelastic Flutter Problems.
In this paper, we consider the aeroelastic flutter problem (AEFP) in terms of matrix equations.
We provide a general framework on the spectral theory of three parameter AEFP in tensor …
We provide a general framework on the spectral theory of three parameter AEFP in tensor …
A Newton method for solving locally definite multiparameter eigenvalue problems by multiindex
H Eisenmann - arXiv preprint arXiv:2404.04194, 2024 - arxiv.org
We present a new approach to compute eigenvalues and eigenvectors of locally definite
multiparameter eigenvalue problems by its signed multiindex. The method has the …
multiparameter eigenvalue problems by its signed multiindex. The method has the …
[HTML][HTML] Solving two-parameter eigenvalue problems using an alternating method
H Eisenmann, Y Nakatsukasa - Linear Algebra and its Applications, 2022 - Elsevier
We present a new approach to compute selected eigenvalues and eigenvectors of the two-
parameter eigenvalue problem. Our method requires computing generalized eigenvalue …
parameter eigenvalue problem. Our method requires computing generalized eigenvalue …
On Nonlinearization of 3-parameter Eigenvalue Problems
In this paper, the linear 3-parameter eigenvalue problem (3PEP) in terms of matrix equations
is considered. Using the Rayleigh Quotient iteration method, any one of the three …
is considered. Using the Rayleigh Quotient iteration method, any one of the three …
Numerical algorithms for nonlinear eigenproblems with eigenvector nonlinearities
P Upadhyaya - 2021 - diva-portal.org
Eigenproblems and their nonlinear generalizations appear as important problems in a wide
variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics …
variety of fields, ranging from quantum chemistry and vibration analysis to macroeconomics …
Asymptotic Behaviour of the Non-real Pair-Eigenvalues of a Two Parameter Eigenvalue Problem
HM Öztürk - Complex Analysis and Operator Theory, 2023 - Springer
This article focuses on a symmetric block operator spectral problem with two spectral
parameters. Under some reasonable restrictions, Levitin and Öztürk showed that the real …
parameters. Under some reasonable restrictions, Levitin and Öztürk showed that the real …
Krylov methods for nonlinear eigenvalue problems and matrix equations
G Mele - 2020 - diva-portal.org
Nonlinear eigenvalue problems (NEPs) arise in many fields of science and engineering.
Such problems are often defined by large matrices, which have specific structures, such as …
Such problems are often defined by large matrices, which have specific structures, such as …
[PDF][PDF] A NOTE ON BIFURCATION POINTS OF TWO-PARAMETER MATRIX EIGENVALUE PROBLEMS
1 Introduction Page 1 Advanced Mathematical Models & Applications Vol.7, No.1, 2022, pp.69-75
A NOTE ON BIFURCATION POINTS OF TWO-PARAMETER MATRIX EIGENVALUE …
A NOTE ON BIFURCATION POINTS OF TWO-PARAMETER MATRIX EIGENVALUE …