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Preconditioned eigensolvers for large-scale nonlinear Hermitian eigenproblems with variational characterizations. I. Extreme eigenvalues
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Nonlinear Conjugate Gradient Methods
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A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
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Analysis of parameterized quadratic eigenvalue problems in computational acoustics with homotopic deviation theory
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A minmax principle for nonlinear eigenproblems depending continuously on the eigenparameter
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A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods
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VIBRATION ANALYSIS OF WIRE AND FREQUENCY RESPONSE IN THE MODERN WIRESAW MANUFACTURING PROCESS
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A Preconditioned Conjugate Gradient Method for Eigenvalue Problems and its Implementation in a Subspace
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Variationsprinzipien bei nichtlinearen Eigenwertaufgaben
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Jacobi-davidson type methods for generalized eigenproblems and polynomial eigenproblems
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Conjugate gradient methods for the Rayleigh quotient minimization of generalized eigenvalue problems
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A block Newton method for nonlinear eigenvalue problems
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A linear eigenvalue algorithm for the nonlinear eigenvalue problem
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Local convergence analysis of several inexact Newton-type algorithms for general nonlinear eigenvalue problems
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Restarting iterative projection methods for Hermitian nonlinear eigenvalue problems with minmax property
inferredcites →https://doi.org/10.1007/s10543-011-0336-2openalex-snapshot
Analyzing the convergence factor of residual inverse iteration
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Computing interior eigenvalues of large matrices
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An orthogonal accelerated deflation technique for large symmetric eigenproblems
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Software for simplified Lanczos and QMR algorithms
inferredcites →https://doi.org/10.1016/j.compstruc.2006.08.088openalex-snapshot
A Jacobi–Davidson method for nonlinear and nonsymmetric eigenproblems
inferredcites →https://doi.org/10.1016/j.future.2003.07.003openalex-snapshot
A Jacobi–Davidson-type projection method for nonlinear eigenvalue problems
inferredcites →https://doi.org/10.1016/j.jcp.2006.01.034openalex-snapshot
Iterative projection methods for computing relevant energy states of a quantum dot
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Hybrid preconditioning for iterative diagonalization of ill-conditioned generalized eigenvalue problems in electronic structure calculations
inferredcites →https://doi.org/10.1016/j.laa.2005.03.034openalex-snapshot
Preconditioned iterative methods for a class of nonlinear eigenvalue problems
inferredcites →https://doi.org/10.1016/j.laa.2007.11.013openalex-snapshot
Rayleigh quotient iteration and simplified Jacobi–Davidson method with preconditioned iterative solves
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Perturbation, extraction and refinement of invariant pairs for matrix polynomials
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Nonlinear Rayleigh functionals
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Hermitian matrix polynomials with real eigenvalues of definite type. Part I: Classification
inferredcites →https://doi.org/10.1016/s0024-3795(96)00238-8openalex-snapshot
Refined iterative algorithms based on Arnoldi's process for large unsymmetric eigenproblems
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Numerical methods for large-scale nonlinear optimization
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An Arnoldi Method for Nonlinear Eigenvalue Problems
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Finite Elements and Fast Iterative Solvers
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Several properties of invariant pairs of nonlinear algebraic eigenvalue problems
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Finite Elements and Fast Iterative Solvers: with Applications in Incompressible Fluid Dynamics
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Matrix Algorithms, Volume II: Eigensystems
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Weighted Matchings for Preconditioning Symmetric Indefinite Linear Systems
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Detecting and Solving Hyperbolic Quadratic Eigenvalue Problems
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On Large-Scale Diagonalization Techniques for the Anderson Model of Localization
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Solution of Sparse Indefinite Systems of Linear Equations
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Residual Inverse Iteration for the Nonlinear Eigenvalue Problem
inferredcites →https://doi.org/10.1137/080732110openalex-snapshot
Controlling Inner Iterations in the Jacobi–Davidson Method
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Iterative Methods for Sparse Linear Systems
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Computing a Partial Schur Factorization of Nonlinear Eigenvalue Problems Using the Infinite Arnoldi Method
inferredcites →https://doi.org/10.1137/120885644openalex-snapshot
Robust Successive Computation of Eigenpairs for Nonlinear Eigenvalue Problems
inferredcites →https://doi.org/10.1137/14098048xopenalex-snapshot
Preconditioned Locally Harmonic Residual Method for Computing Interior Eigenpairs of Certain Classes of Hermitian Matrices
inferredcites →https://doi.org/10.1137/15m1016096openalex-snapshot
Preconditioned Eigensolvers for Large-Scale Nonlinear Hermitian Eigenproblems with Variational Characterizations. II. Interior Eigenvalues
inferredcites →https://doi.org/10.1137/s0036142902411768openalex-snapshot
Convergence Estimates for the Generalized Davidson Method for Symmetric Eigenvalue Problems II: The Subspace Acceleration
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A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
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A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
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The Geometry of Algorithms with Orthogonality Constraints
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Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
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Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils
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Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals
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The spectrum of delay-differential equations: numerical methods, stability and perturbation
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Iterative Projection Methods for Large-Scale Nonlinear Eigenvalue Problems
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/nla.2043openalex-snapshot
A rank‐exploiting infinite Arnoldi algorithm for nonlinear eigenvalue problems
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Convergence analysis of vector extended locally optimal block preconditioned extended conjugate gradient method for computing extreme eigenvalues
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On restarting the tensor infinite Arnoldi method
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The nonlinear eigenvalue problem
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The Infinite Bi-Lanczos Method for Nonlinear Eigenvalue Problems
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A Block Preconditioned Harmonic Projection Method for Large-Scale Nonlinear Eigenvalue Problems
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TRPL+K: Thick-Restart Preconditioned Lanczos+K Method for Large Symmetric Eigenvalue Problems
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Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction
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Nonlinearizing Two-parameter Eigenvalue Problems
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A Chebyshev Locally Optimal Block Preconditioned Conjugate Gradient Method for Product and Standard Symmetric Eigenvalue Problems
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A New Preconditioned Nonlinear Conjugate Gradient Method in Real Arithmetic for Computing the Ground States of Rotational Bose–Einstein Condensate
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Preconditioned gradient iterations for the eigenproblem of definite matrix pairs
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Solution of a Nonlinear Eigenvalue Problem Using Signed Singular Values
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