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Studies on Jacobi–Davidson, Rayleigh quotient iteration, inverse iteration generalized Davidson and Newton updates
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/3-540-36487-0_18openalex-snapshot
Solving Eigenproblems: From Arnoldi via Jacobi-Davidson to the Riccati Method
inferredcites →https://doi.org/10.1007/978-1-4684-9190-6openalex-snapshot
Lanczos Algorithms for Large Symmetric Eigenvalue Computations Vol. I Theory
inferredcites →https://doi.org/10.1007/bf00298007openalex-snapshot
On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I
inferredcites →https://doi.org/10.1007/bf01731936openalex-snapshot
Jacobi-davidson type methods for generalized eigenproblems and polynomial eigenproblems
inferredcites →https://doi.org/10.1007/bfb0116617openalex-snapshot
Computation of eigenvalues and eigenvectors
inferredcites →https://doi.org/10.1016/0009-2614(90)85633-nopenalex-snapshot
Passing the one-billion limit in full configuration-interaction (FCI) calculations
inferredcites →https://doi.org/10.1016/0021-9991(75)90065-0openalex-snapshot
The iterative calculation of a few of the lowest eigenvalues and corresponding eigenvectors of large real-symmetric matrices
inferredcites →https://doi.org/10.1016/0024-3795(84)90221-0openalex-snapshot
Rational Krylov sequence methods for eigenvalue computation
inferredcites →https://doi.org/10.1016/0041-5553(66)90153-4openalex-snapshot
The algebraic eigenvalue problem
inferredcites →https://doi.org/10.1016/0377-0427(95)00141-7openalex-snapshot
Robust preconditioning of large, sparse, symmetric eigenvalue problems
inferredcites →https://doi.org/10.1016/s0024-3795(01)00330-5openalex-snapshot
The Orthogonal Rayleigh Quotient Iteration (ORQI) method
inferredcites →https://doi.org/10.1016/s0024-3795(02)00392-0openalex-snapshot
The Riccati algorithm for eigenvalues and invariant subspaces of matrices with inexpensive action
inferredcites →https://doi.org/10.1016/s0045-7825(00)00283-8openalex-snapshot
An integrated Davidson and multigrid solution approach for very large scale symmetric eigenvalue problems
inferredcites →https://doi.org/10.1017/cbo9780511550140.008openalex-snapshot
Numerical methods for large eigenvalue problems
inferredcites →https://doi.org/10.1017/s0962492902000089openalex-snapshot
Numerical methods for large eigenvalue problems
inferredcites →https://doi.org/10.1063/1.4823212openalex-snapshot
Monster Matrices: Their Eigenvalues and Eigenvectors
inferredcites →https://doi.org/10.1090/qam/42792openalex-snapshot
The principle of minimized iterations in the solution of the matrix eigenvalue problem
inferredcites →https://doi.org/10.1090/s0025-5718-1974-0405823-3openalex-snapshot
The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1976-0431641-8openalex-snapshot
Reorthogonalization and stable algorithms for updating the Gram-Schmidt 𝑄𝑅 factorization
inferredcites →https://doi.org/10.1115/1.1523352openalex-snapshot
Matrix Algorithms, Volume II: Eigensystems
inferredcites →https://doi.org/10.1137/050630404openalex-snapshot
A Chebyshev–Davidson Algorithm for Large Symmetric Eigenproblems
inferredcites →https://doi.org/10.1137/0613025openalex-snapshot
Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
inferredcites →https://doi.org/10.1137/0907054openalex-snapshot
Generalizations of Davidson’s Method for Computing Eigenvalues of Sparse Symmetric Matrices
inferredcites →https://doi.org/10.1137/0907058openalex-snapshot
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/0913035openalex-snapshot
Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
inferredcites →https://doi.org/10.1137/1.9780898719192openalex-snapshot
Lanczos Algorithms for Large Symmetric Eigenvalue Computations
inferredcites →https://doi.org/10.1137/1.9780898719581openalex-snapshot
Templates for the Solution of Algebraic Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1.9780898719611openalex-snapshot
Numerical Linear Algebra for High-Performance Computers
inferredcites →https://doi.org/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1.9781611970944openalex-snapshot
Iterative Methods for Linear and Nonlinear Equations
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1.9781611971200openalex-snapshot
Numerical Methods for Unconstrained Optimization and Nonlinear Equations
inferredcites →https://doi.org/10.1137/1021052openalex-snapshot
Inverse Iteration, Ill-Conditioned Equations and Newton’s Method
inferredcites →https://doi.org/10.1137/s0895479800371529openalex-snapshot
A Krylov--Schur Algorithm for Large Eigenproblems
inferredcites →https://doi.org/10.1137/s0895479801399596openalex-snapshot
Convergence Analysis of Inexact Rayleigh Quotient Iteration
inferredcites →https://doi.org/10.1137/s0895479894270427openalex-snapshot
A Jacobi–Davidson Iteration Method for Linear Eigenvalue Problems
inferredcites →https://doi.org/10.1137/s0895479896311220openalex-snapshot
Using Generalized Cayley Transformations within an Inexact Rational Krylov Sequence Method
inferredcites →https://doi.org/10.1137/s1064827595296148openalex-snapshot
Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
inferredcites →https://doi.org/10.1137/s1064827596300073openalex-snapshot
Jacobi--Davidson Style QR and QZ Algorithms for the Reduction of Matrix Pencils
inferredcites →https://doi.org/10.1137/s1064827596304162openalex-snapshot
Dynamic Thick Restarting of the Davidson, and the Implicitly Restarted Arnoldi Methods
inferredcites →https://doi.org/10.2307/2005398openalex-snapshot
Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization
inferredcites →https://doi.org/10.5860/choice.33-4556openalex-snapshot
Iterative methods for linear and nonlinear equations
inferredcites →https://doi.org/10.6028/jres.045.026openalex-snapshot
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
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.545openalex-snapshot
A Rayleigh quotient minimization algorithm based on algebraic multigrid
inferred← citeshttps://doi.org/10.1002/nla.602openalex-snapshot
Approximate implicit subspace iteration with alternating directions for LTI system model reduction
inferred← citeshttps://doi.org/10.1007/s11425-016-0274-0openalex-snapshot
Accelerating large partial EVD/SVD calculations by filtered block Davidson methods
inferred← citeshttps://doi.org/10.1007/s40314-019-0962-xopenalex-snapshot
Rayleigh quotient minimization method for symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.cam.2018.05.001openalex-snapshot
Computing eigenpairs in augmented Krylov subspace produced by Jacobi–Davidson correction equation
inferred← citeshttps://doi.org/10.1016/j.cam.2020.112822openalex-snapshot
Computing eigenpairs of Hermitian matrices in augmented Krylov subspace produced by Rayleigh quotient iterations
inferred← citeshttps://doi.org/10.1016/j.cam.2025.116622openalex-snapshot
A new subspace iteration algorithm for solving generalized eigenvalue problems in vibration analysis
inferred← citeshttps://doi.org/10.1016/j.cam.2026.117544openalex-snapshot
A shifted Laplace rational filter for large-scale eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.jcp.2010.08.032openalex-snapshot
A block Chebyshev–Davidson method with inner–outer restart for large eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.jcp.2013.04.003openalex-snapshot
On optimizing Jacobi–Davidson method for calculating eigenvalues in low dimensional structures using eight band k·p model
inferred← citeshttps://doi.org/10.1016/j.jcp.2026.114758openalex-snapshot
EigenWave: An optimal O(N) method for computing eigenvalues and eigenvectors by time-filtering the wave equation
inferred← citeshttps://doi.org/10.1109/bigdata.2017.8258403openalex-snapshot
A scalable sequential principal component analysis algorithm (SeqPCA) with application to user access control analysis
inferred← citeshttps://doi.org/10.1137/050630404openalex-snapshot
A Chebyshev–Davidson Algorithm for Large Symmetric Eigenproblems
inferred← citeshttps://doi.org/10.1137/050631574openalex-snapshot
Nearly Optimal Preconditioned Methods for Hermitian Eigenproblems under Limited Memory. Part I: Seeking One Eigenvalue
inferred← citeshttps://doi.org/10.1137/060661910openalex-snapshot
Nearly Optimal Preconditioned Methods for Hermitian Eigenproblems Under Limited Memory. Part II: Seeking Many Eigenvalues
inferred← citeshttps://doi.org/10.1137/070688742openalex-snapshot
Jacobi Correction Equation, Line Search, and Conjugate Gradients in Hermitian Eigenvalue Computation I: Computing an Extreme Eigenvalue
inferred← citeshttps://doi.org/10.1137/100807922openalex-snapshot
Efficient Preconditioned Inner Solves For Inexact Rayleigh Quotient Iteration And Their Connections To The Single-Vector Jacobi–Davidson Method
inferred← citeshttps://doi.org/10.1137/140976017openalex-snapshot
Increasing the Performance of the Jacobi--Davidson Method by Blocking
inferred← citeshttps://doi.org/10.1155/2019/5169362openalex-snapshot
Behavior of the Correction Equations in the Jacobi–Davidson Method
inferred← citeshttps://doi.org/10.14279/depositonce-1871openalex-snapshot
Nonlinear Eigenvalue Problems: Newton-type Methods and Nonlinear Rayleigh Functionals
inferred← citeshttps://doi.org/10.1515/9781400830244openalex-snapshot
Optimization Algorithms on Matrix Manifolds
inferred← citeshttps://doi.org/10.2172/992636openalex-snapshot
Neutronic/Thermalhydraulic Coupling Technigues for Sodium Cooled Fast Reactor Simulations
inferred← citeshttps://doi.org/10.31474/2415-7902-2023-1-53-62openalex-snapshot
PARALLEL DETERMINATION OF THE SPECTRUM OF SYMMETRIC TOEPLITZ MATRIXES WITH LEVINSON-DARBIN TRANSFORMATIONS
inferred← citeshttps://doi.org/10.3929/ethz-a-006824950openalex-snapshot
Harmonic Ritz values and their reciprocals
inferred← citeshttps://doi.org/10.5540/03.2016.004.01.0040openalex-snapshot
Refining natural frequencies of linear second-order vibrating systems
inferred← citeshttps://doi.org/10.5555/2336431.2336439openalex-snapshot
An overview on the eigenvalue computation for matrices
inferred← citeshttps://doi.org/10.7275/12360224openalex-snapshot
Inexact and Nonlinear Extensions of the FEAST Eigenvalue Algorithm
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