On the public citation graph

Shift-invert and Cayley transforms for detection of rightmost eigenvalues of nonsymmetric matrices

0 signed · 99 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.
Claim with ORCID
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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-9353-5_10openalex-snapshot
Rational Krylov Algorithms for Nonsymmetric Eigenvalue Problems
inferredcites →https://doi.org/10.1007/978-3-0348-7004-7_15openalex-snapshot
Two Methods for the Numerical Detection of Hopf Bifurcations
inferredcites →https://doi.org/10.1007/bf01065178openalex-snapshot
Finding leading modes of a viscous free surface flow: An asymmetric generalized eigenproblem
inferredcites →https://doi.org/10.1007/bf01389971openalex-snapshot
The Tchebychev iteration for nonsymmetric linear systems
inferredcites →https://doi.org/10.1007/bf01462265openalex-snapshot
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
inferredcites →https://doi.org/10.1016/0009-2509(81)80175-3openalex-snapshot
Multiplicity, stability, and oscillatory dynamics of the tubular reactor
inferredcites →https://doi.org/10.1016/0010-4655(89)90149-5openalex-snapshot
Numerical solution of large nonsymmetric eigenvalue problems
inferredcites →https://doi.org/10.1016/0021-9991(85)90012-9openalex-snapshot
Convergence properties of the finite-element method for Bénard Convection in an infinite layer
inferredcites →https://doi.org/10.1016/0024-3795(87)90126-1openalex-snapshot
Complex shift and invert strategies for real matrices
inferredcites →https://doi.org/10.1016/0378-4754(86)90031-5openalex-snapshot
Spectral approximation of linear operators
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0736453-8openalex-snapshot
Chebyshev Acceleration Techniques for Solving Nonsymmetric Eigenvalue Problems
inferredcites →https://doi.org/10.1137/0613025openalex-snapshot
Implicit Application of Polynomial Filters in a k -Step Arnoldi Method
inferredcites →https://doi.org/10.1137/1.9781611970678openalex-snapshot
Spectral Approximation of Linear Operators
inferredcites →https://doi.org/10.1137/1.9781611970739openalex-snapshot
Numerical Methods for Large Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1.9781611971163openalex-snapshot
The Symmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1137/1.9781611972467openalex-snapshot
Eigenvalues of Matrices
inferredcites →https://doi.org/10.1142/9789812798886_0014openalex-snapshot
A GENERALISED CAYLEY TRANSFORM FOR THE NUMERICAL DETECTION OF HOPF BIFURCATIONS IN LARGE SYSTEMS
inferredcites →https://doi.org/10.1145/152613.152614openalex-snapshot
Computing selected eigenvalues of sparse unsymmetric matrices using subspace iteration

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4829247openalex-extracted
A Synchronously Parallelized Method with Well Scalability for Computing Selected Eigenvalues of Large-Scale Power Systems
inferred← citeshttps://doi.org/10.1002/fld.135openalex-snapshot
Large‐scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers
inferred← citeshttps://doi.org/10.1002/fld.4181openalex-snapshot
Modal decomposition‐based global stability analysis for reduced order modeling of 2D and 3D wake flows
inferred← citeshttps://doi.org/10.1002/nme.4919openalex-snapshot
A Padé approximate linearization algorithm for solving the quadratic eigenvalue problem with low‐rank damping
inferred← citeshttps://doi.org/10.1006/jcph.1997.5876openalex-snapshot
Linear Stability of Incompressible Flow Using a Mixed Finite Element Method
inferred← citeshttps://doi.org/10.1007/10703040_9openalex-snapshot
Solving Large-Scale Eigenvalue Problems on Vector Parallel Processors
inferred← citeshttps://doi.org/10.1007/978-3-540-68111-3_137openalex-snapshot
3D Global Flow Stability Analysis on Unstructured Grids
inferred← citeshttps://doi.org/10.1007/978-3-662-03972-4_5openalex-snapshot
Numerical Methods for Bifurcation Problems
inferred← citeshttps://doi.org/10.1007/978-981-96-0738-9_3openalex-snapshot
PSD-Based Eigenvalue Computation Framework for Large-Scale Time-Delay Systems
inferred← citeshttps://doi.org/10.1007/bfb0095348openalex-snapshot
Massively parallel linear stability analysis with P_ARPACK for 3D fluid flow modeled with MPSalsa
inferred← citeshttps://doi.org/10.1007/s11433-013-5203-5openalex-snapshot
Parallel computing study for the large-scale generalized eigenvalue problems in modal analysis
inferred← citeshttps://doi.org/10.1016/j.amc.2013.08.015openalex-snapshot
Polynomial optimization and a Jacobi–Davidson type method for commuting matrices
inferred← citeshttps://doi.org/10.1016/j.cma.2005.05.047openalex-snapshot
Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems
inferred← citeshttps://doi.org/10.1016/j.cma.2010.02.007openalex-snapshot
A generalized computational approach to stability of static equilibria of nonlinearly elastic rods in the presence of constraints
inferred← citeshttps://doi.org/10.1016/j.compfluid.2017.10.011openalex-snapshot
A stability analysis of the compressible boundary layer flow over indented surfaces
inferred← citeshttps://doi.org/10.1016/j.epsr.2016.10.016openalex-snapshot
Iterative infinitesimal generator discretization-based method for eigen-analysis of large delayed cyber-physical power system
inferred← citeshttps://doi.org/10.1016/j.epsr.2021.107620openalex-snapshot
A flexible and reliable method for spectrum analysis of large-scale power systems
inferred← citeshttps://doi.org/10.1016/j.ifacol.2019.12.218openalex-snapshot
Computing the robust H-infinity norm of time-delay LTI systems with real-valued and structured uncertainties
inferred← citeshttps://doi.org/10.1016/j.ijepes.2021.107327openalex-snapshot
A partial solution operator discretization-based method for small signal stability analysis of time-delay power systems
inferred← citeshttps://doi.org/10.1016/j.laa.2008.12.027openalex-snapshot
Exploiting structure in large-scale electrical circuit and power system problems
inferred← citeshttps://doi.org/10.1016/j.laa.2010.06.021openalex-snapshot
Fast inexact subspace iteration for generalized eigenvalue problems with spectral transformation
inferred← citeshttps://doi.org/10.1016/j.laa.2014.08.021openalex-snapshot
Optimization of extrapolated Cayley transform with non-Hermitian positive definite matrix
inferred← citeshttps://doi.org/10.1016/j.parco.2009.12.001openalex-snapshot
Fast eigenvalue calculations in a massively parallel plasma turbulence code
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00183-2openalex-snapshot
Solution of the eigenvalue problems resulting from global non-parallel flow stability analysis
inferred← citeshttps://doi.org/10.1016/s0045-7825(98)00203-5openalex-snapshot
The Hopf bifurcation theorem for quasilinear differential-algebraic equations
inferred← citeshttps://doi.org/10.1016/s1570-8659(02)08004-3openalex-snapshot
Theoretical and numerical analysis of differential-algebraic equations
inferred← citeshttps://doi.org/10.1016/s1874-575x(02)80029-7openalex-snapshot
Numerical Analysis of Dynamical Systems
inferred← citeshttps://doi.org/10.1017/jfm.2011.399openalex-snapshot
Global stability of the two-dimensional flow over a backward-facing step
inferred← citeshttps://doi.org/10.1017/jfm.2022.222openalex-snapshot
Weakly nonlinear analysis of the viscoelastic instability in channel flow for finite and vanishing Reynolds numbers
inferred← citeshttps://doi.org/10.1017/jfm.2022.724openalex-snapshot
Stability of thermocapillary flow in liquid bridges fully coupled to the gas phase
inferred← citeshttps://doi.org/10.1017/s0022112010005239openalex-snapshot
Takens–Bogdanov bifurcation of travelling-wave solutions in pipe flow
inferred← citeshttps://doi.org/10.1017/s0962492900000398openalex-snapshot
The numerical analysis of bifurcation problems with application to fluid mechanics
inferred← citeshttps://doi.org/10.1063/5.0301263openalex-snapshot
Computing excited eigenstates using inexact Lanczos methods and tree tensor network states
inferred← citeshttps://doi.org/10.1088/0169-5983/44/2/025501openalex-snapshot
Flow instability in triangular lid-driven cavities with wall motion away from a rectangular corner
inferred← citeshttps://doi.org/10.1090/s0025-5718-07-02040-6openalex-snapshot
Arnoldi and Jacobi-Davidson methods for generalized eigenvalue problems 𝐴𝑥=𝜆𝐵𝑥 with singular 𝐵
inferred← citeshttps://doi.org/10.1093/imanum/16.3.297openalex-snapshot
Matrix transformations for computing rightmost eigenvalues of large sparse non-symmetric eigenvalue problems
inferred← citeshttps://doi.org/10.1103/physreve.58.823openalex-snapshot
Numerical evidence of stationary and breathing concentration patterns in the Oregonator with equal diffusivities
inferred← citeshttps://doi.org/10.1103/physreve.74.031902openalex-snapshot
Role of cohesion in the material description of biofilms
inferred← citeshttps://doi.org/10.1103/physrevfluids.8.114003openalex-snapshot
Linear stability of thermocapillary flow in a droplet attached to a hot or cold substrate
inferred← citeshttps://doi.org/10.1109/59.535592openalex-snapshot
Improved methodologies for the calculation of critical eigenvalues in small signal stability analysis
inferred← citeshttps://doi.org/10.1109/cacsd-cca-isic.2006.4776620openalex-snapshot
Finding the distance to instability of a large sparse matrix
inferred← citeshttps://doi.org/10.1109/cacsd.2006.285440openalex-snapshot
Finding the Distance to Instability of a Large Sparse Matrix
inferred← citeshttps://doi.org/10.1109/ei259745.2023.10513006openalex-snapshot
A Novel Exponential Transform Method for Evaluating the Small Signal Stability with Enhanced Efficiency and Accuracy
inferred← citeshttps://doi.org/10.1109/ic2ecs64405.2024.10928639openalex-snapshot
A Leja-Interpolation Based Indirect Exponential Operator for the Small-Signal Stability Assessment
inferred← citeshttps://doi.org/10.1109/irep.2007.4410558openalex-snapshot
Modified algorithm to trace critical eigenvalues of power system with sensitivities via continuation of invariant subspaces
inferred← citeshttps://doi.org/10.1109/pesgm52003.2023.10252490openalex-snapshot
A Novel Multi-Cayley Transform for Judging Small Signal Stability of Large-Scale Power Systems
inferred← citeshttps://doi.org/10.1109/tpwrs.2009.2036822openalex-snapshot
Computing Rightmost Eigenvalues for Small-Signal Stability Assessment of Large-Scale Power Systems
inferred← citeshttps://doi.org/10.1109/tpwrs.2011.2139231openalex-snapshot
Computing Critical Eigenvalues of Power Systems Using Inexact Two-Sided Jacobi-Davidson
inferred← citeshttps://doi.org/10.1109/tpwrs.2015.2418272openalex-snapshot
An Efficient Parallel Krylov-Schur Method for Eigen-Analysis of Large-Scale Power Systems
inferred← citeshttps://doi.org/10.1109/tpwrs.2016.2563168openalex-snapshot
A Parallel Contour Integral Method for Eigenvalue Analysis of Power Systems
inferred← citeshttps://doi.org/10.1109/tpwrs.2017.2650781openalex-snapshot
Enabling Highly Efficient Spectral Discretization-Based Eigen-Analysis Methods by Kronecker Product
inferred← citeshttps://doi.org/10.1109/tpwrs.2017.2679128openalex-snapshot
Primal and Dual Generalized Eigenvalue Problems for Power Systems Small-Signal Stability Analysis
inferred← citeshttps://doi.org/10.1109/tpwrs.2019.2936871openalex-snapshot
Time Integration-Based IGD Methods for Eigen-Analysis of Large Delayed Cyber-Physical Power System
inferred← citeshttps://doi.org/10.1109/tpwrs.2022.3174225openalex-snapshot
An Exponential Transform Based Dual-Layer Krylov Subspace Method for Computing Unstable Modes of Power Systems
inferred← citeshttps://doi.org/10.1109/tsg.2016.2635159openalex-snapshot
A Parallelized Contour Integral Rayleigh–Ritz Method for Computing Critical Eigenvalues of Large-Scale Power Systems
inferred← citeshttps://doi.org/10.1117/12.874803openalex-snapshot
Defining coiling adiabaticity
inferred← citeshttps://doi.org/10.1137/060669097openalex-snapshot
The Arnoldi Eigenvalue Iteration with Exact Shifts Can Fail
inferred← citeshttps://doi.org/10.1137/080742890openalex-snapshot
Inverse Iteration for Purely Imaginary Eigenvalues with Application to the Detection of Hopf Bifurcations in Large-Scale Problems
inferred← citeshttps://doi.org/10.1137/0917002openalex-snapshot
Calculation of Pseudospectra by the Arnoldi Iteration
inferred← citeshttps://doi.org/10.1137/100786599openalex-snapshot
Fast Inexact Implicitly Restarted Arnoldi Method for Generalized Eigenvalue Problems with Spectral Transformation
inferred← citeshttps://doi.org/10.1137/100817851openalex-snapshot
Differential Equations for Roaming Pseudospectra: Paths to Extremal Points and Boundary Tracking
inferred← citeshttps://doi.org/10.1137/120862399openalex-snapshot
Low-Rank Dynamics for Computing Extremal Points of Real Pseudospectra
inferred← citeshttps://doi.org/10.1137/15m1026511openalex-snapshot
Localization Theorems for Nonlinear Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/15m1055012openalex-snapshot
Pseudospectra of Matrix Pencils for Transient Analysis of Differential-Algebraic Equations
inferred← citeshttps://doi.org/10.1137/18m1228876openalex-snapshot
An Arbitrary Precision Scaling and Squaring Algorithm for the Matrix Exponential
inferred← citeshttps://doi.org/10.1137/19m1302430openalex-snapshot
Polynomial Preconditioned Arnoldi with Stability Control
inferred← citeshttps://doi.org/10.1137/s0036142994272167openalex-snapshot
Computation of Singularities in Large Nonlinear Systems
inferred← citeshttps://doi.org/10.1137/s0036142995282182openalex-snapshot
Defining Functions for Multiple Hopf Bifurcations
inferred← citeshttps://doi.org/10.1137/s0895479894274255openalex-snapshot
The Restarted Arnoldi Method Applied to Iterative Linear System Solvers for the Computation of Rightmost Eigenvalues
inferred← citeshttps://doi.org/10.1146/annurev-fluid-122109-160705openalex-snapshot
Global Linear Instability
inferred← citeshttps://doi.org/10.1155/2015/180214openalex-snapshot
Parallel Framework for Dimensionality Reduction of Large-Scale Datasets
inferred← citeshttps://doi.org/10.20868/upm.thesis.49141openalex-snapshot
Stability Analysis of Complex Aerodynamic Flows
inferred← citeshttps://doi.org/10.22124/jmm.2019.13944.1297openalex-snapshot
Generalized subspace iteration method for solving matrix pair eigenproblem
inferred← citeshttps://doi.org/10.2514/1.25410openalex-snapshot
Finite Element Methods for Viscous Incompressible BiGlobal Instability Analysis on Unstructured Meshes
inferred← citeshttps://doi.org/10.31274/etd-180810-1805openalex-snapshot
A comprehensive invariant subspace-based framework for power system small-signal stability analysis
inferred← citeshttps://doi.org/10.3390/sym15112046openalex-snapshot
Eigenproblem Basics and Algorithms
inferred← citeshttps://doi.org/10.4208/cicp.240912.180613aopenalex-snapshot
Numerical Bifurcation Methods and Their Application to Fluid Dynamics: Analysis Beyond Simulation
inferred← citeshttps://doi.org/10.48550/arxiv.1502.03701openalex-snapshot
A parallel and matrix free framework for global stability analysis of compressible flows
inferred← citeshttps://doi.org/10.48550/arxiv.1806.08020openalex-snapshot
Polynomial Preconditioned Arnoldi
inferred← citeshttps://doi.org/10.48550/arxiv.1909.07778openalex-snapshot
A pseudo-spectra based characterisation of the robust strong H-infinity norm of time-delay systems with real-valued and structured uncertainties
inferred← citeshttps://doi.org/10.4995/thesis/10251/5082openalex-snapshot
Implementación paralela de métodos de Krylov con reinicio para problemas de valores propios y singulares.
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.