A survey on variational characterizations for nonlinear eigenvalue problems
From MaRDI portal
Publication:2055515
DOI10.1553/etna_vol55s1OpenAlexW3213976772MaRDI QIDQ2055515
Publication date: 1 December 2021
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: http://etna.mcs.kent.edu/volumes/2021-2030/vol55/abstract.php?vol=55&pages=1-75
fluid-solid interactionnonlinear eigenvalue problemvariational characterizationiterative projection methodsviscoelastic dampingquantum dotsAMLStotal least-squares problems
Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Eigenvalue problems for linear operators (47A75) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Linear operators and ill-posed problems, regularization (47A52) Numerical analysis (65-XX)
Related Items
Variational Characterization of Monotone Nonlinear Eigenvector Problems and Geometry of Self-Consistent Field Iteration ⋮ A method for computing a few eigenpairs of large generalized eigenvalue problems
Uses Software
Cites Work
- A Trust Region Direct Constrained Minimization Algorithm for the Kohn–Sham Equation
- Regularization of linear ill-posed problems with noisy right hand side and noisy operator
- Dual Regularized Total Least Squares And Multi-Parameter Regularization
- Algorithm 873
- An Implementation and Evaluation of the AMLS Method for Sparse Eigenvalue Problems
- Definite Matrix Polynomials and their Linearization by Definite Pencils
- Regularized Total Least Squares: Computational Aspects and Error Bounds
- An Improved Arc Algorithm for Detecting Definite Hermitian Pairs
- Fast frequency response computation for Rayleigh damping
- The Jacobi-Davidson method
- Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems
- A method for eigenvalues of sparse λ-matrices
- Analysis of fluid-structure interactions. a direct symmetric coupled formulation based on the fluid velocity potential
- Matrix Analysis
- Dynamics of Viscoelastic Structures—A Time-Domain, Finite Element Formulation
- Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
- A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Generalizing the Singular Value Decomposition
- Substructure variational analysis of the vibrations of coupled fluid-structure systems. Finite element results
- Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils
- Introduction to Numerical Analysis
- Rational Krylov: A Practical Algorithm for Large Sparse Nonsymmetric Matrix Pencils
- A Krylov Subspace Method for Quadratic Matrix Polynomials with Application to Constrained Least Squares Problems
- Templates for the Solution of Algebraic Eigenvalue Problems
- Analysis And Efficient Solution Of Stationary Schrödinger Equation Governing Electronic States Of Quantum Dots And Rings In Magnetic Field
- The nonlinear eigenvalue problem
- Efficient Algorithms for Solution of Regularized Total Least Squares
- A Subspace Approximation Method for the Quadratic Eigenvalue Problem
- An Automated Multilevel Substructuring Method for Eigenspace Computation in Linear Elastodynamics
- Matrix Preconditioning Techniques and Applications
- Robust Linear Stability Analysis and a New Method for Computing the Action of the Matrix Exponential
- Tikhonov Regularization and Total Least Squares
- Structured tools for structured matrices
- The order of convergence of eigenfrequencies in finite element approximations of fluid-structure interaction problems
- A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
- Convergence Orders of Iterative Methods for Nonlinear Eigenvalue Problems
- Variational characterization of real eigenvalues in linear viscoelastic oscillators
- Variational Principles for Eigenvalues of Nonlinear Eigenproblems
- Compact Rational Krylov Methods for Nonlinear Eigenvalue Problems
- A Nonlinear QR Algorithm for Banded Nonlinear Eigenvalue Problems
- Algorithms for hyperbolic quadratic eigenvalue problems
- SOAR: A Second-order Arnoldi Method for the Solution of the Quadratic Eigenvalue Problem
- FINITE ELEMENT COMPUTATION OF THREE-DIMENSIONAL ELASTOACOUSTIC VIBRATIONS
- 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
- On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
- Computation of Smallest Eigenvalues using Spectral Schur Complements
- An Algebraic Substructuring Method for Large-Scale Eigenvalue Calculation
- Memory-efficient Arnoldi algorithms for linearizations of matrix polynomials in Chebyshev basis
- Coupling of substructures for dynamic analyses.
- A new method for the solution of eigenvalue problems
- The numerical solution of eigenvalue problems in which the eigenvalue problems in which the eigenvalue parameter appears nonlinearly, with an application to differential equations
- On an Approach to the Solution of the Generalized Latent Value Problem for $\lambda $-Matrices
- Some Modified Matrix Eigenvalue Problems
- Computational Science - ICCS 2004
- Motion of Electrons and Holes in Perturbed Periodic Fields
- Fluid-structure interaction
- On a nonlinear eigenvalue problem
- Functional differential equations
- A posteriori error estimates and a local refinement strategy for a finite element method to solve structural-acoustic vibration problems
- A new look at the statistical model identification
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An Analysis of the Total Least Squares Problem
- Overview of total least-squares methods
- Large-scale Tikhonov regularization via reduction by orthogonal projection
- Nonlinear Rayleigh functionals
- Efficient determination of the hyperparameter in regularized total least squares problems
- Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property
- Perturbation, extraction and refinement of invariant pairs for matrix polynomials
- Numerical simulation of three dimensional pyramid quantum dot
- The spectra of two-parameter quadratic operator pencils
- Continuation of eigenvalues and invariant pairs for parameterized nonlinear eigenvalue problems
- Numerical calculation of the electronic structure for three-dimensional quantum dots
- Variational characterization of eigenvalues of a non-symmetric eigenvalue problem governing elastoacoustic vibrations.
- A generalized Rayleigh quotient iteration for lambda-matrices
- A weighted-GCV method for Lanczos-hybrid regularization
- A fast algorithm for solving regularized total least squares problems
- Detecting hyperbolic and definite matrix polynomials
- 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.
- A new justification of the Jacobi-Davidson method for large eigenproblems
- Stationary Schrödinger equations governing electronic states of quantum dots in the presence of spin-orbit splitting.
- A new zero-finder for Tikhonov regularization
- On an unsymmetric eigenvalue problem governing free vibrations of fluid-solid structures
- Nonlinear Rayleigh-Ritz iterative method for solving large scale nonlinear eigenvalue problems
- Solving regularized total least squares problems based on eigenproblems
- A convex optimization approach for minimizing the ratio of indefinite quadratic functions over an ellipsoid
- Reducing huge gyroscopic eigenproblems by automated multi-level substructuring
- On a quadratic eigenproblem occurring in regularized total least squares
- Series solution of nonlinear eigenvalue problems by means of the homotopy analysis method
- A bidiagonalization algorithm for solving large and sparse ill-posed systems of linear equations
- A constrained eigenvalue problem
- Least squares with a quadratic constraint
- Finite elements for dynamic modelling of unaxial rods with frequency- dependent material properties
- Pencils of waveguide type and related extremal problems
- Estimating the dimension of a model
- Delay effects on stability. A robust control approach
- On the singular Rayleigh functional
- Methods and algorithms of solving spectral problems for polynomial and rational matrices
- Tikhonov regularization of large linear problems
- Variational principles for real eigenvalues of self-adjoint operator pencils
- Finite element analysis of the vibration problem of a plate coupled with a fluid
- A finite element solution of an added mass formulation for coupled fluid-solid vibrations
- An approximation method in the variational theory of the spectrum of operator pencils
- Detecting a definite Hermitian pair and a hyperbolic or elliptic quadratic eigenvalue problem, and associated nearness problems
- Large-scale Tikhonov regularization of total least squares
- An Arnoldi method for nonlinear eigenvalue problems
- Polynomial eigenvalue problems with Hamiltonian structure
- On roots of functional lambda matrices
- A weighted pseudoinverse, generalized singular values, and constrained least squares problems
- Introduction to the theory and application of differential equations with deviating arguments. Translated from the Russian by John L. Casti
- A minimax principle for nonoverdamped systems
- Variational principles for eigenvalues of self-adjoint operator functions
- On the numerical solution of nonlinear eigenvalue problems
- Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
- Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems
- Estimation of the \(L\)-curve via Lanczos bidiagonalization
- Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems
- Computation of eigenvalues in proportionally damped viscoelastic structures based on the fixed-point iteration
- On Sylvester's law of inertia for nonlinear eigenvalue problems
- Regularization tools version \(4.0\) for matlab \(7.3\)
- Iterative projection methods for computing relevant energy states of a quantum dot
- Large-scale dual regularized total least squares
- Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems. I. Classical algorithms
- Local convergence of Newton-like methods for degenerate eigenvalues of nonlinear eigenproblems: II. Accelerated algorithms
- Some variational principles for a nonlinear eigenvalue problem
- The solution of characteristic value-vector problems by Newton's method
- Variationsprinzipien bei nichtlinearen Eigenwertaufgaben
- Mehrparametrige und nichtlineare Eigenwertaufgaben
- A class of nonlinear eigenvalue problems
- Das Spektrum von Operatorscharen mit verallgemeinerten Rayleighquotienten
- Regularized total least squares based on quadratic eigenvalue problem solvers
- A minimax theory for overdamped systems
- Locking and Restarting Quadratic Eigenvalue Solvers
- The Quadratic Eigenvalue Problem
- Analysis of a finite element method for pressure/potential formulation of elastoacoustic spectral problems
- Stability Analysis of the Two-level Orthogonal Arnoldi Procedure
- Handbook of Linear Algebra
- Robust Successive Computation of Eigenpairs for Nonlinear Eigenvalue Problems
- Structural Dynamic Analysis with Generalized Damping Models
- Automated multi-level sub-structuring for fluid-solid interaction problems
- A Jacobi-Davidson method for two-real-parameter nonlinear eigenvalue problems arising from delay-differential equations
- THE HYPERBOLIC QUADRATIC EIGENVALUE PROBLEM
- Solving Rational Eigenvalue Problems via Linearization
- A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter
- Nonlinear Rank-One Modification of the Symmetric Eigenvalue Problem
- Nonlinear Low Rank Modification of a Symmetric Eigenvalue Problem
- Accelerating the LSTRS Algorithm
- On the distribution of real eigenvalues in linear viscoelastic oscillators
- Minimization of a Large-Scale Quadratic FunctionSubject to a Spherical Constraint
- Homotopy Method for Nonlinear Eigenvalue Pencils with Applications
- An A Priori Bound for Automated Multilevel Substructuring
- Finding a Global Optimal Solution for a Quadratically Constrained Fractional Quadratic Problem with Applications to the Regularized Total Least Squares
- Analysis of Asymmetric Nonviscously Damped Linear Dynamic Systems
- New Algorithms for Computing the Real Structured Pseudospectral Abscissa and the Real Stability Radius of Large and Sparse Matrices
- Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues
- GLOBAL CONVERGENCE OF RTLSQEP: A SOLVER OF REGULARIZED TOTAL LEAST SQUARES PROBLEMS VIA QUADRATIC EIGENPROBLEMS
