A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
From MaRDI portal
Publication:3951145
DOI10.1002/mma.1670040126zbMath0489.49029OpenAlexW2128904982MaRDI QIDQ3951145
Publication date: 1982
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.1670040126
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (35)
Automated multi-level sub-structuring for fluid-solid interaction problems ⋮ A minimization problem for an elliptic eigenvalue problem with nonlinear dependence on the eigenparameter ⋮ Linearization techniques for band structure calculations in absorbing photonic crystals ⋮ Detecting hyperbolic and definite matrix polynomials ⋮ Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues ⋮ A block Newton method for nonlinear eigenvalue problems ⋮ A maxmin principle for nonlinear eigenvalue problems with application to a rational spectral problem in fluid-solid vibration. ⋮ Rational Krylov for nonlinear eigenproblems, an iterative projection method. ⋮ Improving condensation methods for eigenvalue problems via Rayleigh functionals ⋮ THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM ⋮ Disguised and new quasi-Newton methods for nonlinear eigenvalue problems ⋮ A nonlinear eigenvalue optimization problem: optimal potential functions ⋮ The nonlinear eigenvalue problem ⋮ An integral method for solving nonlinear eigenvalue problems ⋮ Nonlinear Rayleigh functionals ⋮ Unnamed Item ⋮ Existence of an extremal ground state energy of a nanostructured quantum dot ⋮ The spectra of two-parameter quadratic operator pencils ⋮ Variational characterization of real eigenvalues in linear viscoelastic oscillators ⋮ A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter ⋮ Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property ⋮ Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting. ⋮ Modified successive approximation methods for the nonlinear eigenvalue problems ⋮ Error bounds on the eigenvalues of a linearized dynamic stiffness matrix ⋮ Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues ⋮ Numerical calculation of the electronic structure for three-dimensional quantum dots ⋮ Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods ⋮ Iterative projection methods for computing relevant energy states of a quantum dot ⋮ Linearizations for Rational Matrix Functions and Rosenbrock System Polynomials ⋮ Triple variational principles for self-adjoint operator functions ⋮ A nonlinear eigenvalue problem arising in a nanostructured quantum dot ⋮ A survey on variational characterizations for nonlinear eigenvalue problems ⋮ Unnamed Item ⋮ On a quadratic eigenproblem occurring in regularized total least squares ⋮ Variational Principles for Eigenvalues of Nonlinear Eigenproblems
Cites Work
- Eine neue Methode zur Behandlung nichtlinearer Eigenwertaufgaben
- Elementary localization theorems for nonlinear eigenproblems
- A minimax principle for nonoverdamped systems
- Some variational principles for a nonlinear eigenvalue problem
- Variationsprinzipien bei nichtlinearen Eigenwertaufgaben
- A class of nonlinear eigenvalue problems
- Das Spektrum von Operatorscharen mit verallgemeinerten Rayleighquotienten
- Operator equations and nonlinear eigenparameter problems
- A minimax theory for overdamped systems
- SPECTRAL OPERATORS IN A DIRECT SUM OF HILBERT SPACES
- NOTE ON A GENERALIZATION OF RAYLEIGH'S PRINCIPLE
- Über eine Klasse von Eigenwertaufgaben mit nichtlinearer Parameterabhängigkeit
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems