Detecting hyperbolic and definite matrix polynomials
From MaRDI portal
Publication:846333
DOI10.1016/j.laa.2009.10.014zbMath1186.65055OpenAlexW2050048910MaRDI QIDQ846333
Publication date: 9 February 2010
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2009.10.014
algorithmnumerical examplesextreme eigenvaluesquadratic eigenvalue problemdefinite matrix polynomialHermitian matrix polynomialshyperbolic matrix polynomialsRayleigh functionalssafeguarded iteration
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Matrices over function rings in one or more variables (15A54)
Related Items
A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter, Refined isogeometric analysis of quadratic eigenvalue problems, The nonlinear eigenvalue problem, Hermitian matrix polynomials with real eigenvalues of definite type. I: Classification, Unnamed Item, Variational characterization of real eigenvalues in linear viscoelastic oscillators, Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property, Detecting a hyperbolic quadratic eigenvalue problem by using a subspace algorithm, A survey on variational characterizations for nonlinear eigenvalue problems, Unnamed Item
Cites Work
- Numerical simulation of three dimensional pyramid quantum dot
- A fast algorithm for solving regularized total least squares problems
- On a quadratic eigenproblem occurring in regularized total least squares
- An SVD-approach to Jacobi-Davidson solution of nonlinear Helmholtz eigenvalue problems
- Matrices and indefinite scalar products
- On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone
- Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
- An Arnoldi method for nonlinear eigenvalue problems
- Polynomial eigenvalue problems with Hamiltonian structure
- A minimax theory for overdamped systems
- Locking and Restarting Quadratic Eigenvalue Solvers
- The Quadratic Eigenvalue Problem
- A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter
- Definite Matrix Polynomials and their Linearization by Definite Pencils
- An Improved Arc Algorithm for Detecting Definite Hermitian Pairs
- Jacobi–Davidson methods for cubic eigenvalue problems
- Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems
- A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
- ON THE SPECTRUM OF THE OPERATOR PENCIL GENERATED BY THE DIRICHLET PROBLEM IN A CONE
- Least squares element method for boundary eigenvalue problems
- Algorithms for hyperbolic quadratic eigenvalue problems
- Vector Spaces of Linearizations for Matrix Polynomials
- Structured Polynomial Eigenvalue Problems: Good Vibrations from Good Linearizations
- Symmetric Linearizations for Matrix Polynomials
- Inverse Spectral Problems for Semisimple Damped Vibrating Systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
