On the public citation graph
On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I
0 signed · 114 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/(sici)1521-4001(200001)80:1<9::aid-zamm9>3.0.co;2-8openalex-snapshot
A Generalized Rayleigh Quotient Iteration for Computing Simple Eigenvalues of Nonnormal Matrices
inferred← citeshttps://doi.org/10.1002/gamm.201490007openalex-snapshot
Nonlinear eigenvalue problems: a challenge for modern eigenvalue methods
inferred← citeshttps://doi.org/10.1002/mana.3210620112openalex-snapshot
Zur Existenz und numerischen Approximation von Lösungen nichtlinearer Eigenwertprobleme Dem 25. Jahrestag der DDR gewidmet
inferred← citeshttps://doi.org/10.1002/nla.1680020307openalex-snapshot
Regions of convergence of the Rayleigh quotient iteration method
inferred← citeshttps://doi.org/10.1002/nla.1945openalex-snapshot
Tuned preconditioners for inexact two-sided inverse and Rayleigh quotient iteration
inferred← citeshttps://doi.org/10.1002/nla.2422openalex-snapshot
Two‐sided Rayleigh quotient iteration for periodic eigenvalue problems
inferred← citeshttps://doi.org/10.1002/nla.490openalex-snapshot
Studies on Jacobi–Davidson, Rayleigh quotient iteration, inverse iteration generalized Davidson and Newton updates
inferred← citeshttps://doi.org/10.1002/pamm.200700527openalex-snapshot
A Jacobi–Davidson like method for nonlinear eigenvalue problems based on singularity theory
inferred← citeshttps://doi.org/10.1007/978-0-387-21696-6_9openalex-snapshot
A Dynamical System Approach to Matrix Eigenvalue Algorithms
inferred← citeshttps://doi.org/10.1007/978-1-4612-2740-3_35openalex-snapshot
The Dynamics of Eigenvalue Computation
inferred← citeshttps://doi.org/10.1007/978-3-0348-9144-8_9openalex-snapshot
Variational Properties and Rayleigh Quotient Algorithms for Symmetric Matrix Pencils
inferred← citeshttps://doi.org/10.1007/978-3-642-10994-2_2openalex-snapshot
Il Metodo Del Quoziente Di Rayleigh
inferred← citeshttps://doi.org/10.1007/978-3-642-22453-9_14openalex-snapshot
Mode Selecting Eigensolvers for 3D Computational Models
inferred← citeshttps://doi.org/10.1007/978-3-642-30316-6_10openalex-snapshot
Convergence Orders of Iterative Methods for Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-55566-4_24openalex-snapshot
Jacobi Decomposition and Eigenvalues of Symmetric Matrices
inferred← citeshttps://doi.org/10.1007/978-3-662-46672-8_4openalex-snapshot
Model Order Reduction: Methods, Concepts and Properties
inferred← citeshttps://doi.org/10.1007/bf00277446openalex-snapshot
A generalised rayleigh quotient iteration for lambda-matrices
inferred← citeshttps://doi.org/10.1007/bf00778426openalex-snapshot
Reduktion und Iteration zur Eigenwertberechnung diskret ged�mpfter Schwingungssysteme
inferred← citeshttps://doi.org/10.1007/bf01396060openalex-snapshot
Regul�re Zerlegungen und Berechnung des Spektralradius nichtnegativer Matrizen
inferred← citeshttps://doi.org/10.1007/bf01436087openalex-snapshot
Note on the computation of the maximal eigenvalue of a non-negative irreducible matrix
inferred← citeshttps://doi.org/10.1007/bf01933589openalex-snapshot
The relation between the Jacobi algorithm and inverse iteration and a Jacobi algorithm based on elementary reflections
inferred← citeshttps://doi.org/10.1007/bf02163334openalex-snapshot
A three-stage variable-shift iteration for polynomial zeros and its relation to generalized rayleigh iteration
inferred← citeshttps://doi.org/10.1007/bf02591963openalex-snapshot
A quadratically convergent method for minimizing a sum of euclidean norms
inferred← citeshttps://doi.org/10.1007/bf02844081openalex-snapshot
Die Pseudostöriteration bei abgeschlossenen Operatoren
inferred← citeshttps://doi.org/10.1007/bf03167249openalex-snapshot
Inverse iteration method with multiple cyclotomically shifted parameters
inferred← citeshttps://doi.org/10.1007/bfb0116617openalex-snapshot
Computation of eigenvalues and eigenvectors
inferred← citeshttps://doi.org/10.1007/s00211-014-0677-2openalex-snapshot
A positivity preserving inexact Noda iteration for computing the smallest eigenpair of a large irreducible $$M$$ M -matrix
inferred← citeshttps://doi.org/10.1007/s002110050069openalex-snapshot
Pseudozeros of polynomials and pseudospectra of companion matrices
inferred← citeshttps://doi.org/10.1007/s10208-024-09658-7openalex-snapshot
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic
inferred← citeshttps://doi.org/10.1007/s10915-024-02539-9openalex-snapshot
Multilevel Monte Carlo Methods for Stochastic Convection–Diffusion Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/s11075-009-9286-zopenalex-snapshot
Rayleigh quotient algorithms for nonsymmetric matrix pencils
inferred← citeshttps://doi.org/10.1007/s13160-014-0148-2openalex-snapshot
A note on the Rayleigh quotient iteration for symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1016/0010-4655(89)90146-xopenalex-snapshot
A generalized nonsymmetric Lanczos procedure
inferred← citeshttps://doi.org/10.1016/0021-9991(75)90119-9openalex-snapshot
Iterative eigenvalue algorithms based on convergent splittings
inferred← citeshttps://doi.org/10.1016/0021-9991(76)90108-xopenalex-snapshot
A direct numerical approach to three nucleon bound state problems
inferred← citeshttps://doi.org/10.1016/0024-3795(73)90022-0openalex-snapshot
An inclusion theorem related to inverse iteration
inferred← citeshttps://doi.org/10.1016/0041-5553(65)90011-xopenalex-snapshot
A method of evaluating the eigenvalues of a matrix
inferred← citeshttps://doi.org/10.1016/0045-7949(88)90357-4openalex-snapshot
Approximations to eigenvalues of modified general matrices
inferred← citeshttps://doi.org/10.1016/0096-3003(78)90011-5openalex-snapshot
Inverse Iteration: An Alternative Form
inferred← citeshttps://doi.org/10.1016/0096-3003(94)90155-4openalex-snapshot
Efficient computation of eigenvalues of randomly generated matrices
inferred← citeshttps://doi.org/10.1016/0893-9659(89)90107-9openalex-snapshot
Rayleigh quotient iteration fails for nonsymmetric matrices
inferred← citeshttps://doi.org/10.1016/j.amc.2006.06.055openalex-snapshot
A note on the approximation of two-sided Rayleigh quotient to eigenvalues
inferred← citeshttps://doi.org/10.1016/j.cam.2021.113961openalex-snapshot
The Weierstrass iterative method as a Petrov–Galerkin method for solving eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.laa.2005.11.019openalex-snapshot
Inexact inverse iteration for symmetric matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2007.02.013openalex-snapshot
A new justification of the Jacobi–Davidson method for large eigenproblems
inferred← citeshttps://doi.org/10.1016/j.laa.2009.10.034openalex-snapshot
On extremum properties of orthogonal quotients matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2010.06.048openalex-snapshot
Nonlinear Rayleigh functionals
inferred← citeshttps://doi.org/10.1016/j.laa.2010.08.045openalex-snapshot
Convergence factors of Newton methods for nonlinear eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.neuroimage.2015.05.002openalex-snapshot
Discovering networks altered by potential threat (“anxiety”) using quadratic discriminant analysis
inferred← citeshttps://doi.org/10.1016/j.probengmech.2005.05.002openalex-snapshot
Solution methods and initialization techniques in SFE analysis of structural stability
inferred← citeshttps://doi.org/10.1016/s0022-460x(74)80106-9openalex-snapshot
Application of the Rayleigh quotient to eigenvalue problems of pseudo-conservative systems
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00330-5openalex-snapshot
The Orthogonal Rayleigh Quotient Iteration (ORQI) method
inferred← citeshttps://doi.org/10.1016/s0024-3795(02)00730-9openalex-snapshot
The continuous-time Rayleigh quotient flow on the sphere
inferred← citeshttps://doi.org/10.1016/s0041-5553(89)80032-1openalex-snapshot
Numerical method for solving the eigenvalue problem for sparse matrices depending non-linearly on a spectral parameter
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00413-1openalex-snapshot
Eigenvalue computation in the 20th century
inferred← citeshttps://doi.org/10.1016/s1570-8659(02)08003-1openalex-snapshot
Computational methods for large eigenvalue problems
inferred← citeshttps://doi.org/10.1017/s0004972700028732openalex-snapshot
Variational and numerical methods for symmetric matrix pencils
inferred← citeshttps://doi.org/10.1017/s0022112077001268openalex-snapshot
Finite amplitude instability of plane Couette flow
inferred← citeshttps://doi.org/10.1017/s0962492900002774openalex-snapshot
Complexity theory and numerical analysis
inferred← citeshttps://doi.org/10.1063/1.1671545openalex-snapshot
Theoretical Investigation of the Lowest Double-Minimum State E, F 1Σg+ of the Hydrogen Molecule
inferred← citeshttps://doi.org/10.1063/1.1675228openalex-snapshot
Variational Wavefunctions and Energies for L = 2 and L = 3 States of Two-Electron Atoms
inferred← citeshttps://doi.org/10.1063/1.1696885openalex-snapshot
Variational Treatment of the HeH+ Ion and the β-Decay in HT
inferred← citeshttps://doi.org/10.1063/1.1725796openalex-snapshot
Accurate Adiabatic Treatment of the Ground State of the Hydrogen Molecule
inferred← citeshttps://doi.org/10.1063/1.1725797openalex-snapshot
Accurate Computation of Vibronic Energies and of Some Expectation Values for H2, D2, and T2
inferred← citeshttps://doi.org/10.1063/1.1734189openalex-snapshot
Analogies between Higher-Order Analytical and Numerical Perturbation—Iteration Methods
inferred← citeshttps://doi.org/10.1063/1.1840870openalex-snapshot
Polarizability of the Hydrogen Molecule
inferred← citeshttps://doi.org/10.1063/1.1841016openalex-snapshot
Born—Oppenheimer Separation for Three-Particle Systems. II. Two-Center Wavefunctions
inferred← citeshttps://doi.org/10.1080/00207160.2010.498509openalex-snapshot
The equivalence of the constrained Rayleigh quotient and Newton methods for matrix polynomials expressed in different polynomial bases along with the confluent case
inferred← citeshttps://doi.org/10.1090/qam/430427openalex-snapshot
Extremum properties of the generalized Rayleigh quotient associated with flutter instability
inferred← citeshttps://doi.org/10.1090/s0025-5718-1974-0405823-3openalex-snapshot
The Rayleigh Quotient Iteration and Some Generalizations for Nonnormal Matrices
inferred← citeshttps://doi.org/10.1093/imanum/drm036openalex-snapshot
A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems
inferred← citeshttps://doi.org/10.1109/20.104944openalex-snapshot
Features and applications of the RF cavity code OSCAR 2D (particle accelerator design)
inferred← citeshttps://doi.org/10.1109/globalsip.2014.7032330openalex-snapshot
Reference antenna-based subspace tracking for RFI mitigation in radio astronomy
inferred← citeshttps://doi.org/10.1109/icdsp.2016.7868516openalex-snapshot
Mitigation of the multiple RFIs in radio astronomy based on the subspace tracking
inferred← citeshttps://doi.org/10.1109/iscas.2002.1010511openalex-snapshot
Minor and major subspace computation of large matrices
inferred← citeshttps://doi.org/10.1109/iscas.2003.1206401openalex-snapshot
Algorithms for computating principal and minor invariant subspaces of large matrices
inferred← citeshttps://doi.org/10.1109/sam.2002.1191083openalex-snapshot
Fast algorithm for computing the maximum and minimum eigenpairs of large matrices
inferred← citeshttps://doi.org/10.1109/tkde.2019.2949309openalex-snapshot
Absorbing Diagonal Algorithm: an Eigensolver of $O(n^{2.584963} \log\frac{1}{\epsilon})$ Complexity at Precision ε
inferred← citeshttps://doi.org/10.1109/tmag.1983.1062879openalex-snapshot
Computation of electromagnetic fields in multicell resonant structures for particle acceleration
inferred← citeshttps://doi.org/10.1111/j.1365-246x.1977.tb01323.xopenalex-snapshot
A variational approach to whole-Earth dynamics
inferred← citeshttps://doi.org/10.1111/j.1365-246x.1982.tb04959.xopenalex-snapshot
Variational solution of long-period oscillations of the Earth
inferred← citeshttps://doi.org/10.1137/060671401openalex-snapshot
Convergence of the Dominant Pole Algorithm and Rayleigh Quotient Iteration
inferred← citeshttps://doi.org/10.1137/0610006openalex-snapshot
Localization Criteria and Containment for Rayleigh Quotient Iteration
inferred← citeshttps://doi.org/10.1137/0709049openalex-snapshot
The Solution of Large Symmetric Eigenproblems by Sectioning
inferred← citeshttps://doi.org/10.1137/0710031openalex-snapshot
Some Efficient Algorithms for Solving Systems of Nonlinear Equations
inferred← citeshttps://doi.org/10.1137/0710035openalex-snapshot
A Geometric Theory for the $QR$, $LU$ and Power Iterations
inferred← citeshttps://doi.org/10.1137/0710059openalex-snapshot
Algorithms for the Nonlinear Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/0725078openalex-snapshot
Criteria for Combining Inverse and Rayleigh Quotient Iteration
inferred← citeshttps://doi.org/10.1137/0726037openalex-snapshot
The Dynamics of Rayleigh Quotient Iteration
inferred← citeshttps://doi.org/10.1137/090765894openalex-snapshot
Hybridization and Postprocessing Techniques for Mixed Eigenfunctions
inferred← citeshttps://doi.org/10.1137/090774604openalex-snapshot
A Multilevel Jacobi–Davidson Method for Polynomial PDE Eigenvalue Problems Arising in Plasma Physics
inferred← citeshttps://doi.org/10.1137/130910014openalex-snapshot
An Inverse Iteration Method for Eigenvalue Problems with Eigenvector Nonlinearities
inferred← citeshttps://doi.org/10.1137/15m1049956openalex-snapshot
Inverse, Shifted Inverse, and Rayleigh Quotient Iteration as Newton's Method
inferred← citeshttps://doi.org/10.1137/19m1238708openalex-snapshot
FEAST for Differential Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/s0036144596300773openalex-snapshot
Computing an Eigenvector with Inverse Iteration
inferred← citeshttps://doi.org/10.1137/s0036144599363084openalex-snapshot
A Jacobi--Davidson Iteration Method for Linear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1145/355841.355843openalex-snapshot
Solving the Biharmonic Equation on Irregular Regions
inferred← citeshttps://doi.org/10.1155/2023/9859889openalex-snapshot
A New Quotient and Iterative Detection Method in an Affine Krylov Subspace for Solving Eigenvalue Problems
inferred← citeshttps://doi.org/10.15480/882.183openalex-snapshot
Projection methods for nonlinear sparse eigenvalue problems
inferred← citeshttps://doi.org/10.2172/4265498openalex-snapshot
Iterative method for the solution of the algebraic eigenvalue problem for Hermitian matrices
inferred← citeshttps://doi.org/10.3329/ganit.v37i0.35725openalex-snapshot
Study on Eigen Values and Eigen Vectors of Matrices : An Iterative Approach
inferred← citeshttps://doi.org/10.3390/math11183997openalex-snapshot
Regularized Normalization Methods for Solving Linear and Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.3929/ethz-a-006665850openalex-snapshot
A comparison of algorithms for modal analysis in the absence of a sparse direct method
inferred← citeshttps://doi.org/10.4153/cmb-1974-049-4openalex-snapshot
The Generalized Rayleigh Quotient
inferred← citeshttps://doi.org/10.4203/ctr.1.7openalex-snapshot
Iterative Projection Methods for Large-Scale Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.4236/apm.2013.39a2002openalex-snapshot
From Eigenvalues to Singular Values: A Review
inferred← citeshttps://doi.org/10.48550/arxiv.1012.3835openalex-snapshot
A new generalized field of values
inferred← citeshttps://doi.org/10.48550/arxiv.1105.1185openalex-snapshot
Iterative Methods for Computing Eigenvalues and Eigenvectors
inferred← citeshttps://doi.org/10.48550/arxiv.math/0402164openalex-snapshot
Eigenvalue Computation from the Optimization Perspective: On Jacobi-Davidson, IIGD, RQI, and Newton Updates
inferred← citeshttps://doi.org/10.5555/2336431.2336439openalex-snapshot
An overview on the eigenvalue computation for matrices
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.