[HTML][HTML] Computation of leaky waves in layered structures coupled to unbounded media by exploiting multiparameter eigenvalue problems

H Gravenkamp, B Plestenjak, DA Kiefer… - Journal of sound and …, 2025 - Elsevier
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 …

A new algorithm using L-BFGS for two-parameter eigenvalue problems from Lamé's system and simulation

HÜ Özer, A Duran - Mathematical Modelling and Numerical …, 2024 - dergipark.org.tr
We deal with the challenges and solutions for two-parameter eigenvalue problems (TPEPs)
involving large-scale various dense coefficient matrices using several numerical methods …

On Multiparameter Spectral Theory of 3-Parameter Aeroelastic Flutter Problems.

N Bora, B Chutia… - … International Journal of …, 2023 - search.ebscohost.com
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 …

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 …

[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 …

On Nonlinearization of 3-parameter Eigenvalue Problems

N Bora, B Chutia, R Moran… - … in Mathematics and …, 2022 - search.proquest.com
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 …

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 …

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 …

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 …

[PDF][PDF] A NOTE ON BIFURCATION POINTS OF TWO-PARAMETER MATRIX EIGENVALUE PROBLEMS

N Bora, B Chutia, R Moran, A Pegu - … Mathematical Models & …, 2022 - researchgate.net
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 …