A Homotopy Method for Finding All Solutions of a Multiparameter Eigenvalue Problem
From MaRDI portal
Publication:2806187
DOI10.1137/140958396zbMath1338.65100OpenAlexW2343685873MaRDI QIDQ2806187
Publication date: 17 May 2016
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140958396
homotopy methodcontinuation methodboundary value problemgeneralized eigenvalue problemnumerical experimentmultiparameter eigenvalue problemJacobi-Davidson type method
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)
Related Items
Solving two-parameter eigenvalue problems using an alternating method, Koszul-Type Determinantal Formulas for Families of Mixed Multilinear Systems, Fiber product homotopy method for multiparameter eigenvalue problems, The homotopy method for the complete solution of quadratic two-parameter eigenvalue problems, Two complementary block Macaulay matrix algorithms to solve multiparameter eigenvalue problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiparameter eigenvalue problems. Volume I: Matrices and compact operators
- A simple application of the homotopy method to symmetric eigenvalue problems
- A note on the homotopy method for linear algebraic eigenvalue problems
- The automatic solution of two-parameter Sturm-Liouville eigenvalue problems in ordinary differential equations
- A homotopy algorithm for a symmetric generalized eigenproblem
- Multiparameter eigenvalue problems and expansion theorems
- Multiparameter spectral theory in Hilbert space
- Finite-dimensional multiparameter spectral theory: The nonderogatory case
- Continuous methods for symmetric generalized eigenvalue problems
- A continuation method for a weakly elliptic two-parameter eigenvalue problem
- Numerical Solution of Multiparameter Eigenvalue Problems
- Homotopy Method for General $\lambda $-Matrix Problems
- On the Number of Solutions to Polynomial Systems of Equations
- A Two-Dimensional Bisection Method for Solving Two-Parameter Eigenvalue Problems
- A Numerical Method for the Solution of the Double Eigenvalue Problem
- A Robust, Parallel Homotopy Algorithm for the Symmetric Tridiagonal Eigenproblem
- On a Multivariate Eigenvalue Problem, Part I: Algebraic Theory and a Power Method
- The Spectral Decomposition of Nonsymmetric Matrices on Distributed Memory Parallel Computers
- On the Homotopy Method for Perturbed Symmetric Generalized Eigenvalue Problems
- Introduction to Numerical Continuation Methods
- A Continuation Method for a Right Definite Two-Parameter Eigenvalue Problem
- A Jacobi--Davidson Type Method for the Two-Parameter Eigenvalue Problem
- An Algorithm for Symmetric Tridiagonal Eigenproblems: Divide and Conquer with Homotopy Continuation
- A Numerical Technique for Multiparameter Eigenvalue Problems
- A Jacobi--Davidson Type Method for a Right Definite Two-Parameter Eigenvalue Problem
- Numerical methods for solving multiparameter eigenvalue problems
- Multiparameter spectral theory
