# Solving two-parameter eigenvalue problems using an alternating method

We present a new approach to compute selected eigenvalues and eigenvectors of the two-parameter eigenvalue problem. Our method requires computing generalized eigenvalue problems of the same size as the matrices of the initial two-parameter eigenvalue problem. The method is applicable for a class of Helmholtz equations when separation of variables is applied.

## Authors

• 2 publications
• 24 publications
10/17/2021

### On the singular two-parameter eigenvalue problem II

In the 1960s, Atkinson introduced an abstract algebraic setting for mult...
12/01/2020

### Subspace method for multiparameter-eigenvalue problems based on tensor-train representations

In this paper we solve m-parameter eigenvalue problems (mEPs), with m an...
06/24/2019

### Pole-swapping algorithms for alternating and palindromic eigenvalue problems

Pole-swapping algorithms are generalizations of bulge-chasing algorithms...
09/11/2021

### Least-squares spectral methods for ODE eigenvalue problems

We develop spectral methods for ODEs and operator eigenvalue problems th...
12/18/2019

### Simplified Eigenvalue Analysis for Turbomachinery Aerodynamics with Cyclic Symmetry

Eigenvalue analysis is widely used for linear instability analysis in bo...
02/16/2022

### Eigenvectors from eigenvalues in quaternion matrix with computer realization

In this paper, we extend eigenvector-eigenvalue identity (formally named...
07/01/2019

### Nonlinearizing two-parameter eigenvalue problems

We investigate a technique to transform a linear two-parameter eigenvalu...
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