On the public citation graph
Understanding the $QR$ Algorithm
0 signed · 165 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known work and none has been retracted — and get a dated CiteStamped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 this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/3-540-07546-1openalex-snapshot
Matrix Eigensystem Routines — EISPACK Guide
inferredcites →https://doi.org/10.1007/978-3-642-86940-2openalex-snapshot
Handbook for Automatic Computation
inferredcites →https://doi.org/10.1007/bf00284184openalex-snapshot
On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. III
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/bf01462265openalex-snapshot
Simultaneous iteration for computing invariant subspaces of non-Hermitian matrices
inferredcites →https://doi.org/10.1007/bf01600502openalex-snapshot
Das Verfahren der Treppeniteration und verwandte Verfahren zur Lösung algebraischer Eigenwertprobleme
inferredcites →https://doi.org/10.1007/bf02165269openalex-snapshot
Computational aspects of F. L. Bauer's simultaneous iteration method
inferredcites →https://doi.org/10.1007/bf02165413openalex-snapshot
Accelerating the orthogonal iteration for the eigenvectors of a Hermitian matrix
inferredcites →https://doi.org/10.1007/bf02219773openalex-snapshot
Simultaneous iteration method for symmetric matrices
inferredcites →https://doi.org/10.1016/0041-5553(63)90168-xopenalex-snapshot
On some algorithms for the solution of the complete eigenvalue problem
inferredcites →https://doi.org/10.1017/s030500410004175xopenalex-snapshot
A direct iteration method of obtaining latent roots and vectors of a symmetric matrix
inferredcites →https://doi.org/10.1090/s0025-5718-1968-0247759-4openalex-snapshot
Global convergence of the basic 𝑄𝑅 algorithm on Hessenberg matrices
inferredcites →https://doi.org/10.1090/s0025-5718-1973-0348991-3openalex-snapshot
Numerical Methods for Computing Angles Between Linear Subspaces
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/s0025-5718-1977-0438682-6openalex-snapshot
Inverse Iteration on Defective Matrices
inferredcites →https://doi.org/10.1093/comjnl/13.1.76openalex-snapshot
The evaluation of eigenvalues and eigenvectors of real symmetric matrices by simultaneous iteration
inferredcites →https://doi.org/10.1093/imamat/8.1.111openalex-snapshot
A Simultaneous Iteration Method for the Unsymmetric Eigenvalue Problem
inferredcites →https://doi.org/10.1112/jlms/s1-40.1.378bopenalex-snapshot
THE THEORY OF MATRICES IN NUMERICAL ANALYSIS
inferredcites →https://doi.org/10.1137/0707001openalex-snapshot
The Rotation of Eigenvectors by a Perturbation. III
inferredcites →https://doi.org/10.1137/0708073openalex-snapshot
Error Bounds for Approximate Invariant Subspaces of Closed Linear Operators
inferredcites →https://doi.org/10.1137/0710035openalex-snapshot
A Geometric Theory for the $QR$, $LU$ and Power Iterations
inferredcites →https://doi.org/10.1137/0718038openalex-snapshot
The ELR Method for Computing the Eigenvalues of a General Matrix
inferredcites →https://doi.org/10.1137/1015095openalex-snapshot
Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
inferredcites →https://doi.org/10.1137/1019104openalex-snapshot
On the Perturbation of Pseudo-Inverses, Projections and Linear Least Squares Problems
inferredcites →https://doi.org/10.1145/320932.320935openalex-snapshot
On Modern Matrix Iteration Processes of Bernoulli and Graeffe Type
inferredcites →https://doi.org/10.2307/2003785openalex-snapshot
Computational Methods of Linear Algebra
inferredcites →https://doi.org/10.2307/2005448openalex-snapshot
Matrix Eigensystem Routines--EISPACK Guide
inferredcites →https://doi.org/10.2307/2314680openalex-snapshot
The Theory of Matrices in Numerical Analysis.
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1002/14356007.b01_01openalex-snapshot
Mathematics in Chemical Engineering
inferred← citeshttps://doi.org/10.1002/14356007.b01_01.pub2openalex-snapshot
Mathematics in Chemical Engineering
inferred← citeshttps://doi.org/10.1002/9781119604754.ch8openalex-snapshot
Approximate Solution of the Algebraic Eigenvalue Problem
inferred← citeshttps://doi.org/10.1002/nla.1680020206openalex-snapshot
Orthogonal projection and total least squares
inferred← citeshttps://doi.org/10.1007/978-0-387-09734-3_1openalex-snapshot
QR Decomposition An Annotated Bibliography
inferred← citeshttps://doi.org/10.1007/978-1-4419-8503-3_6openalex-snapshot
Operations on Lists, and Linear Algebra
inferred← citeshttps://doi.org/10.1007/978-1-4419-9961-0_12openalex-snapshot
Spectral Theorems in Euclidean and Hermitian Spaces
inferred← citeshttps://doi.org/10.1007/978-1-4471-4600-1_10openalex-snapshot
Numerical Computation Studies Between a New Algorithm, Power, and QR Iterative Algorithms for Solution of Eigenvalue of Essentially Positive Matrices
inferred← citeshttps://doi.org/10.1007/978-1-4612-2740-3_35openalex-snapshot
The Dynamics of Eigenvalue Computation
inferred← citeshttps://doi.org/10.1007/978-3-032-33428-2_6openalex-snapshot
Randomized Orthogonalization and Krylov Subspace Methods: Principles and Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-319-05089-8_3openalex-snapshot
Matrix Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/978-3-319-07671-3_4openalex-snapshot
Solving Other Problems in Linear Algebra
inferred← citeshttps://doi.org/10.1007/978-3-642-73000-9_10openalex-snapshot
Bestimmung von Übertragungsfunktionen linearer Netzwerke als 2-faches verallgemeinertes Eigenwert problem
inferred← citeshttps://doi.org/10.1007/978-3-7091-6282-8_13openalex-snapshot
A New Perspective on the Wrapping Effect in Interval Methods for Initial Value Problems for Ordinary Differential Equations
inferred← citeshttps://doi.org/10.1007/978-981-19-9582-8_39openalex-snapshot
Design and Implementation of the Optimized Computing Architecture for Matrix Decomposition Algorithms
inferred← citeshttps://doi.org/10.1007/bf00047344openalex-snapshot
The geometry of matrix eigenvalue methods
inferred← citeshttps://doi.org/10.1007/bf01934462openalex-snapshot
A blockQR algorithm for partitioning stiff differential systems
inferred← citeshttps://doi.org/10.1007/bf02808910openalex-snapshot
Lineare gleichungssysteme und lineare modelle in der versicherungsmathematik
inferred← citeshttps://doi.org/10.1007/s00211-008-0177-3openalex-snapshot
Rational QR-iteration without inversion
inferred← citeshttps://doi.org/10.1007/s00211-009-0266-yopenalex-snapshot
Two-sided Grassmann–Rayleigh quotient iteration
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/s10470-014-0445-3openalex-snapshot
Hardware design of an eigensolver based on the QR method
inferred← citeshttps://doi.org/10.1007/s11227-023-05206-2openalex-snapshot
Privacy-preserving multi-party PCA computation on horizontally and vertically partitioned data based on outsourced QR decomposition
inferred← citeshttps://doi.org/10.1016/0005-1098(87)90066-5openalex-snapshot
Methods for obtaining robust tracking control laws
inferred← citeshttps://doi.org/10.1016/0016-0032(93)90046-wopenalex-snapshot
A computationally attractive system model using a novel one-sided transformation
inferred← citeshttps://doi.org/10.1016/0024-3795(91)90004-gopenalex-snapshot
Convergence of algorithms of decomposition type for the eigenvalue problem
inferred← citeshttps://doi.org/10.1016/0362-546x(85)90072-0openalex-snapshot
Asymptotic analysis of Toda lattice on diagonalizable matrices
inferred← citeshttps://doi.org/10.1016/0743-7315(91)90029-9openalex-snapshot
Modified Gram-Schmidt QR factorization on hypercube
inferred← citeshttps://doi.org/10.1016/0898-1221(83)90138-4openalex-snapshot
The projective power method for the algebraic eigenvalue problem
inferred← citeshttps://doi.org/10.1016/0898-1221(85)90174-9openalex-snapshot
Acoustic propagation in a refracting ocean waveguide with an irregular interface
inferred← citeshttps://doi.org/10.1016/j.amc.2017.01.030openalex-snapshot
Markov chains with memory, tensor formulation, and the dynamics of power iteration
inferred← citeshttps://doi.org/10.1016/j.amc.2022.127458openalex-snapshot
The dynamical functional particle method for multi-term linear matrix equations
inferred← citeshttps://doi.org/10.1016/j.apnum.2023.07.009openalex-snapshot
Algorithms for modifying recurrence relations of orthogonal polynomial and rational functions when changing the discrete inner product
inferred← citeshttps://doi.org/10.1016/j.cageo.2013.04.004openalex-snapshot
GPU parallelization of a three dimensional marine CSEM code
inferred← citeshttps://doi.org/10.1016/j.engstruct.2025.119799openalex-snapshot
Monocular vision-based key feature point positioning method for micro-vibration measurement of building structures
inferred← citeshttps://doi.org/10.1016/j.jsv.2019.115101openalex-snapshot
Real time structural modal identification using recursive canonical correlation analysis and application towards online structural damage detection
inferred← citeshttps://doi.org/10.1016/j.jsv.2024.118751openalex-snapshot
An enhanced argument principle algorithm for exact complex transcendental eigenvalue analysis of damped structures
inferred← citeshttps://doi.org/10.1016/j.jsv.2025.119342openalex-snapshot
Application of reciprocal condition number in vibration analysis
inferred← citeshttps://doi.org/10.1016/j.laa.2005.01.016openalex-snapshot
A quadratically convergent QR-like method without shifts for the Hermitian eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.laa.2005.06.001openalex-snapshot
On the QR iterations of real matrices
inferred← citeshttps://doi.org/10.1016/j.oceaneng.2020.108005openalex-snapshot
An efficient method to assess effect of fin on the course stability of towing system
inferred← citeshttps://doi.org/10.1016/j.spl.2026.110736openalex-snapshot
A note on the exact simulation of a random eigenvalue of a gue matrix
inferred← citeshttps://doi.org/10.1016/s0024-3795(01)00511-0openalex-snapshot
On matrix differential equations and abstract FG algorithm
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/s0024-3795(97)00279-6openalex-snapshot
Two connections between the SR and HR eigenvalue algorithms
inferred← citeshttps://doi.org/10.1016/s0167-739x(03)00042-6openalex-snapshot
Isospectral-like flows and eigenvalue problem
inferred← citeshttps://doi.org/10.1016/s0168-9274(01)00155-6openalex-snapshot
Some recent advances in validated methods for IVPs for ODEs
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00402-7openalex-snapshot
QR-like algorithms for eigenvalue problems
inferred← citeshttps://doi.org/10.1017/s0962492906340019openalex-snapshot
Linear algebra algorithms as dynamical systems
inferred← citeshttps://doi.org/10.1021/prechem.5c00445openalex-snapshot
Implicitly Restarted Lanczos Enables Chemically Accurate Shallow Neural Quantum States
inferred← citeshttps://doi.org/10.1023/a:1008162909318openalex-snapshot
Low Communication Overhead Jacobi Algorithms for Eigenvalues Computation on Hypercubes
inferred← citeshttps://doi.org/10.1080/16843703.2020.1830477openalex-snapshot
Modelling and analysis of D-BMAP/D-MSP/1 queue using RG-factorization
inferred← citeshttps://doi.org/10.1088/1742-6596/1901/1/012069openalex-snapshot
Features of practical application of electric power system’s stability estimation methods
inferred← citeshttps://doi.org/10.1090/conm/700/14185openalex-snapshot
Numerical solution of linear eigenvalue problems
inferred← citeshttps://doi.org/10.1093/imanum/drp012openalex-snapshot
The QR algorithm: 50 years later its genesis by John Francis and Vera Kublanovskaya and subsequent developments
inferred← citeshttps://doi.org/10.1109/43.370425openalex-snapshot
Analysis of interconnect networks using complex frequency hopping (CFH)
inferred← citeshttps://doi.org/10.1109/cbms.2017.88openalex-snapshot
A Reworked SOBI Algorithm Based on SCHUR Decomposition for EEG Data Processing
inferred← citeshttps://doi.org/10.1109/ccwc67433.2026.11393888openalex-snapshot
Efficient Hardware Implementation of Eigen Solver
inferred← citeshttps://doi.org/10.1109/cdc.2001.914565openalex-snapshot
A Grassmann-Rayleigh quotient iteration for computing invariant subspaces
inferred← citeshttps://doi.org/10.1109/cdc.2003.1272972openalex-snapshot
A novel approach to the shifted qr algorithm for the hermitian eigenvalue problem
inferred← citeshttps://doi.org/10.1109/empdp.1995.389173openalex-snapshot
Parallel QR algorithm for the complete eigensystem of symmetric matrices
inferred← citeshttps://doi.org/10.1109/hipc.2012.6507492openalex-snapshot
I/O efficient QR and QZ algorithms
inferred← citeshttps://doi.org/10.1109/icassp.1984.1172323openalex-snapshot
Adaptive algorithms for estimating eigenvectors of correlation type matrices
inferred← citeshttps://doi.org/10.1109/icassp.1986.1169189openalex-snapshot
Adaptive algorithms for estimating the complete covariance eigenstructure
inferred← citeshttps://doi.org/10.1109/icassp.2005.1416485openalex-snapshot
Generalizations of the Rayleigh Quotient Iteration for the iterative refinement of the eigenvectors of real symmetric matrices
inferred← citeshttps://doi.org/10.1109/icip.2011.6116272openalex-snapshot
Fast approximation for geometric classification of LiDAR returns
inferred← citeshttps://doi.org/10.1109/iscas.2002.1010511openalex-snapshot
Minor and major subspace computation of large matrices
inferred← citeshttps://doi.org/10.1109/lascas.2013.6519065openalex-snapshot
Hardware design of an eigensolver based on the QR method
inferred← citeshttps://doi.org/10.1109/pct.2007.4538456openalex-snapshot
A Wavelet Approach to the Selective Computation of Eigenvalues for Small Signal Stability Analysis
inferred← citeshttps://doi.org/10.1109/ptc.2003.1304317openalex-snapshot
A comparison of eigenvalues obtained with two dynamic simulation software packages
inferred← citeshttps://doi.org/10.1109/tcsi.2020.2973249openalex-snapshot
A High-Performance Scalable Shared-Memory SVD Processor Architecture Based on Jacobi Algorithm and Batcher’s Sorting Network
inferred← citeshttps://doi.org/10.1109/tevc.2013.2297160openalex-snapshot
Enhancing Differential Evolution Utilizing Eigenvector-Based Crossover Operator
inferred← citeshttps://doi.org/10.1109/tii.2024.3354320openalex-snapshot
Dual-Scale Learning-Based Online Modeling of Nonlinear Distributed Parameter Systems Under Time-Varying Boundary Conditions
inferred← citeshttps://doi.org/10.1109/tit.2025.3623586openalex-snapshot
Constrained Coding Bounds via Goulden–Jackson Cluster Theorem
inferred← citeshttps://doi.org/10.1109/tpds.2026.3692274openalex-snapshot
OSLA: A High Performance One-Sided Linear Algebra Library on GPU Architectures
inferred← citeshttps://doi.org/10.1109/tsipn.2021.3122297openalex-snapshot
Distributed Principal Subspace Analysis for Partitioned Big Data: Algorithms, Analysis, and Implementation
inferred← citeshttps://doi.org/10.1109/tvt.2020.2991395openalex-snapshot
A Comprehensive Analysis for High-Power Density, High-Efficiency 60 kW Interleaved Boost Converter Design for Electrified Powertrains
inferred← citeshttps://doi.org/10.1115/1.4044287openalex-snapshot
First-Order Eigen-Perturbation Techniques for Real-Time Damage Detection of Vibrating Systems: Theory and Applications
inferred← citeshttps://doi.org/10.1115/1.4047302openalex-snapshot
Higher-Order Stabilized Perturbation for Recursive Eigen-Decomposition Estimation
inferred← citeshttps://doi.org/10.1115/1.4052830openalex-snapshot
Arbitrary-Order Sensitivity Analysis in Phononic Metamaterials Using the Multicomplex Taylor Series Expansion Method Coupled with Bloch's Theorem
inferred← citeshttps://doi.org/10.1117/12.944023openalex-snapshot
A Highly Parallel Algorithm For Computing The Singular Value Decomposition Using Optical Processing Techniques
inferred← citeshttps://doi.org/10.1137/0605020openalex-snapshot
The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory
inferred← citeshttps://doi.org/10.1137/06067609xopenalex-snapshot
The Effect of Aggressive Early Deflation on the Convergence of the QR Algorithm
inferred← citeshttps://doi.org/10.1137/0610019openalex-snapshot
Self-Equivalent Flows Associated Decomposition
inferred← citeshttps://doi.org/10.1137/0612032openalex-snapshot
Monotonicity Properties of the Toda Flow, the QR-Flow, and Subspace Iteration
inferred← citeshttps://doi.org/10.1137/100809167openalex-snapshot
Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm
inferred← citeshttps://doi.org/10.1137/1030090openalex-snapshot
On the Continuous Realization of Iterative Processes
inferred← citeshttps://doi.org/10.1137/1035090openalex-snapshot
Some Perspectives on the Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/22m1471559openalex-snapshot
Computing the Square Root of a Low-Rank Perturbation of the Scaled Identity Matrix
inferred← citeshttps://doi.org/10.1137/24m1710905openalex-snapshot
Generalized Gentlest Ascent Dynamics Methods for High-Index Saddle Points
inferred← citeshttps://doi.org/10.1137/s0036144500378648openalex-snapshot
A Grassmann--Rayleigh Quotient Iteration for Computing Invariant Subspaces
inferred← citeshttps://doi.org/10.1137/s0895479801384573openalex-snapshot
The Multishift QR Algorithm. Part I: Maintaining Well-Focused Shifts and Level 3 Performance
inferred← citeshttps://doi.org/10.1137/s0895479803422002openalex-snapshot
Cubically Convergent Iterations for Invariant Subspace Computation
inferred← citeshttps://doi.org/10.1137/s0895479892236532openalex-snapshot
Analysis of a QR Algorithm for Computing Singular Values
inferred← citeshttps://doi.org/10.1137/s0895479894137639openalex-snapshot
A $QL$ Procedure for Computing the Eigenvalues of Complex Symmetric Tridiagonal Matrices
inferred← citeshttps://doi.org/10.1137/s0895479896299937openalex-snapshot
The Relation Between the QR and LR Algorithms
inferred← citeshttps://doi.org/10.1137/s0895479899358595openalex-snapshot
Implicitly Restarted Arnoldi Methods and Subspace Iteration
inferred← citeshttps://doi.org/10.1145/155743.155849openalex-snapshot
QR -like algorithms for the nonsymmetric eigenvalue problem
inferred← citeshttps://doi.org/10.1145/2535371openalex-snapshot
Restructuring the Tridiagonal and Bidiagonal QR Algorithms for Performance
inferred← citeshttps://doi.org/10.1145/356044.356046openalex-snapshot
The Numerical Solution of Separably Stiff Systems by Precise Partitioning
inferred← citeshttps://doi.org/10.1145/3712285.3759770openalex-snapshot
Rethinking Back Transformation in 2-stage Eigenvalue Decomposition on Heterogeneous Architectures
inferred← citeshttps://doi.org/10.1177/027836498900800605openalex-snapshot
The Singular Value Decomposition: Computation and Applications to Robotics
inferred← citeshttps://doi.org/10.12941/jksiam.2010.14.1.029openalex-snapshot
A NEW UNDERSTANDING OF THE QR METHOD
inferred← citeshttps://doi.org/10.2139/ssrn.5498644openalex-snapshot
Optimizing detector placement, number, and size in Radioactive Particle Tracking using feature selection
inferred← citeshttps://doi.org/10.23919/acc.1986.4788938openalex-snapshot
Methods for Obtaining Robust Tracking Control Laws
inferred← citeshttps://doi.org/10.2514/3.20210openalex-snapshot
Design methodology for robust stabilizing controllers
inferred← citeshttps://doi.org/10.25204/iktisad.405533openalex-snapshot
TEKİL DEĞER AYRIŞIMININ VARLIĞINA İSPAT
inferred← citeshttps://doi.org/10.25206/1813-8225-2020-174-46-51openalex-snapshot
Features of practical application of electric power system’s stability estimation methods
inferred← citeshttps://doi.org/10.25911/5d6f9da70debaopenalex-snapshot
Optimization algorithms on homogeneous spaces : with applications in linear systems theory
inferred← citeshttps://doi.org/10.3233/atde231138openalex-snapshot
Distributed Network Improvement for Efficient Data Aggregation in Consensus-Based Sensor Networks
inferred← citeshttps://doi.org/10.3390/e27070757openalex-snapshot
Graph-Theoretic Limits of Distributed Computation: Entropy, Eigenvalues, and Chromatic Numbers
inferred← citeshttps://doi.org/10.3390/infrastructures6020022openalex-snapshot
Statistical Approach for Vibration-Based Damage Localization in Civil Infrastructures Using Smart Sensor Networks
inferred← citeshttps://doi.org/10.4236/ajcm.2011.12007openalex-snapshot
The Conditions for the Convergence of Power Scaled Matrices and Applications
inferred← citeshttps://doi.org/10.4236/oalib.1102299openalex-snapshot
Applications of Virtual Modules in Numerical Analysis
inferred← citeshttps://doi.org/10.48550/arxiv.1805.03168openalex-snapshot
A reworked SOBI algorithm based on SCHUR Decomposition for EEG data processing
inferred← citeshttps://doi.org/10.5860/choice.42-0969openalex-snapshot
An introduction to numerical analysis for electrical and computer engineers
inferred← citeshttps://doi.org/10.70675/97c8a9aazaa7az4439z8e67z31a089ca255bopenalex-snapshot
Contagion à effet de seuil dans les réseaux complexes
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.