On the public citation graph

A Hamiltonian $QR$ Algorithm

0 signed · 118 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 See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.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/bf01260514openalex-snapshot
Canonical forms for symplectic and Hamiltonian matrices
inferredcites →https://doi.org/10.1016/0024-3795(81)90086-0openalex-snapshot
A Schur decomposition for Hamiltonian matrices
inferredcites →https://doi.org/10.1093/comjnl/4.4.332openalex-snapshot
The QR Transformation--Part 2
inferredcites →https://doi.org/10.1109/cdc.1982.268400openalex-snapshot
Schur techniques in invariant imbedding methods for solving two-point boundary value problems
inferredcites →https://doi.org/10.1109/tac.1972.1099983openalex-snapshot
A contribution to matrix quadratic equations
inferredcites →https://doi.org/10.1109/tac.1979.1102178openalex-snapshot
A Schur method for solving algebraic Riccati equations
inferredcites →https://doi.org/10.1115/1.3426828openalex-snapshot
Linear Optimal Control Systems
inferredcites →https://doi.org/10.1137/0114044openalex-snapshot
Matrix Quadratic Solutions
inferredcites →https://doi.org/10.1137/1024100openalex-snapshot
Understanding the $QR$ Algorithm
inferredcites →https://doi.org/10.1145/355694.355700openalex-snapshot
Algorithm 506: HQR3 and EXCHNG: Fortran Subroutines for Calculating and Ordering the Eigenvalues of a Real Upper Hessenberg Matrix [F2]
inferredcites →https://doi.org/10.1145/355841.355847openalex-snapshot
Basic Linear Algebra Subprograms for Fortran Usage
inferredcites →https://doi.org/10.2307/2003558openalex-snapshot
The Algebraic Eigenvalue Problem

What points at this work

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

inferred← citeshttps://doi.org/10.1002/047134608x.w2448openalex-snapshot
Homotopy Algorithm for Riccati Equations
inferred← citeshttps://doi.org/10.1002/gamm.201490035openalex-snapshot
Structured Eigenvalue Problems
inferred← citeshttps://doi.org/10.1002/gamm.202000018openalex-snapshot
Iterative and doubling algorithms for Riccati‐type matrix equations: A comparative introduction
inferred← citeshttps://doi.org/10.1002/nla.1936openalex-snapshot
A new subspace iteration method for the algebraic Riccati equation
inferred← citeshttps://doi.org/10.1002/nla.252openalex-snapshot
Stable factorization for Hankel and Hankel‐like matrices
inferred← citeshttps://doi.org/10.1002/nla.409openalex-snapshot
Conservative perturbations of positive definite Hamiltonian matrices
inferred← citeshttps://doi.org/10.1002/nla.622openalex-snapshot
Numerical solution of large‐scale Lyapunov equations, Riccati equations, and linear‐quadratic optimal control problems
inferred← citeshttps://doi.org/10.1002/pamm.201510281openalex-snapshot
Extended Hamiltonian Hessenberg Matrices arise in Projection based Model Order Reduction
inferred← citeshttps://doi.org/10.1007/1-4020-3197-1_1openalex-snapshot
Skew-Hamiltonian and Hamiltonian Eigenvalue Problems: Theory, Algorithms and Applications
inferred← citeshttps://doi.org/10.1007/3-540-44862-4_16openalex-snapshot
A Symplectic Lanczos-Type Algorithm to Compute the Eigenvalues of Positive Definite Hamiltonian Matrices
inferred← citeshttps://doi.org/10.1007/978-1-4612-0427-5_1openalex-snapshot
A Geometric Perspective on Condensed Forms for Hamiltonian Matrices
inferred← citeshttps://doi.org/10.1007/978-1-4612-3462-3_14openalex-snapshot
Lie Algebraic Generalizations of Hessenberg Matrices and the Topology of Hessenberg Varieties
inferred← citeshttps://doi.org/10.1007/978-1-4612-4120-1_4openalex-snapshot
Numerical Methods for Linear Control Systems
inferred← citeshttps://doi.org/10.1007/978-3-030-66952-2_22openalex-snapshot
Appendix: Matrix Equations
inferred← citeshttps://doi.org/10.1007/978-3-0348-8970-4_10openalex-snapshot
Numerical Methods for Linear Quadratic and H ∞ Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-319-05089-8_3openalex-snapshot
Matrix Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/978-3-319-15260-8_1openalex-snapshot
Breaking Van Loan’s Curse: A Quest forStructure-Preserving Algorithms for Dense Structured Eigenvalue Problems
inferred← citeshttps://doi.org/10.1007/978-3-319-15260-8_4openalex-snapshot
Theory and Numerical Solution of Differential and Algebraic Riccati Equations
inferred← citeshttps://doi.org/10.1007/978-3-642-55692-0_7openalex-snapshot
Numerical Methods for Eigenvalue and Control Problems
inferred← citeshttps://doi.org/10.1007/978-3-642-58223-3_7openalex-snapshot
Invariant Subspace Methods for the Numerical Solution of Riccati Equations
inferred← citeshttps://doi.org/10.1007/978-3-662-01632-9_6openalex-snapshot
Sensitivity Reduction and Robustness
inferred← citeshttps://doi.org/10.1007/bf02439460openalex-snapshot
An efficient and stable structure preserving algorithm for computing the eigenvalues of a Hamiltonian matrix
inferred← citeshttps://doi.org/10.1007/bf02551385openalex-snapshot
A bisection method for computing the H∞ norm of a transfer matrix and related problems
inferred← citeshttps://doi.org/10.1007/s00211-006-0043-0openalex-snapshot
A numerical method for computing the Hamiltonian Schur form
inferred← citeshttps://doi.org/10.1007/s00211-008-0177-3openalex-snapshot
Rational QR-iteration without inversion
inferred← citeshttps://doi.org/10.1007/s10013-020-00422-2openalex-snapshot
A Structure-Preserving Method for Positive Realness Problem in Control
inferred← citeshttps://doi.org/10.1007/s10092-016-0192-1openalex-snapshot
An extended Hessenberg form for Hamiltonian matrices
inferred← citeshttps://doi.org/10.1007/s10092-017-0220-9openalex-snapshot
An extended Hamiltonian QR algorithm
inferred← citeshttps://doi.org/10.1007/s11075-005-0963-2openalex-snapshot
On theoretical and numerical aspects of symplectic Gram?Schmidt-like algorithms
inferred← citeshttps://doi.org/10.1007/s11075-008-9226-3openalex-snapshot
Implicit QR algorithms for palindromic and even eigenvalue problems
inferred← citeshttps://doi.org/10.1007/s12555-024-0199-3openalex-snapshot
Low-rank Alternating Direction Doubling Algorithm for Solving Large-scale Continuous Time Algebraic Riccati Equations
inferred← citeshttps://doi.org/10.1007/s13226-026-01026-1openalex-snapshot
Inverse problems for the unitary symplectic matrices with the least-squares constraint
inferred← citeshttps://doi.org/10.1016/0024-3795(89)90677-0openalex-snapshot
Spectral factorization via Hermitian pencils
inferred← citeshttps://doi.org/10.1016/0024-3795(89)90681-2openalex-snapshot
QR-type factorization, the Yang-Baxter equation, and an eigenvalue problem of control theory
inferred← citeshttps://doi.org/10.1016/0024-3795(91)90325-qopenalex-snapshot
On Hamiltonian and symplectic Hessenberg forms
inferred← citeshttps://doi.org/10.1016/0024-3795(92)90230-8openalex-snapshot
Reduction to generalized hessenberg form and inverse spectral problems
inferred← citeshttps://doi.org/10.1016/0024-3795(93)00292-8openalex-snapshot
Properties of a quadratic matrix equation and the solution of the continuous-time algebraic Riccati equation
inferred← citeshttps://doi.org/10.1016/0024-3795(94)90379-4openalex-snapshot
A class of Hamiltonian-symplectic methods for solving the algebraic Riccati equation
inferred← citeshttps://doi.org/10.1016/0362-546x(92)90157-aopenalex-snapshot
Matrix differential equations: a continuous realization process for linear algebra problems
inferred← citeshttps://doi.org/10.1016/b978-012203590-6/50017-3openalex-snapshot
NUMERICAL SOLUTIONS AND CONDITIONING OF ALGEBRAIC RICCATI EQUATIONS
inferred← citeshttps://doi.org/10.1016/j.future.2004.11.027openalex-snapshot
On the computation of few eigenvalues of positive definite Hamiltonian matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2004.09.023openalex-snapshot
Balancing sparse Hamiltonian eigenproblems
inferred← citeshttps://doi.org/10.1016/j.laa.2004.10.010openalex-snapshot
A structure-preserving doubling algorithm for continuous-time algebraic Riccati equations
inferred← citeshttps://doi.org/10.1016/j.laa.2007.03.018openalex-snapshot
Transformations between discrete-time and continuous-time algebraic Riccati equations
inferred← citeshttps://doi.org/10.1016/j.laa.2008.01.004openalex-snapshot
Ralph Byers 1955–2007
inferred← citeshttps://doi.org/10.1016/j.laa.2017.01.005openalex-snapshot
A symmetric structure-preserving ΓQR algorithm for linear response eigenvalue problems
inferred← citeshttps://doi.org/10.1016/j.sysconle.2004.07.006openalex-snapshot
Passivity preserving model reduction via interpolation of spectral zeros
inferred← citeshttps://doi.org/10.1016/s0024-3795(00)00093-8openalex-snapshot
Hamilton and Jacobi come full circle: Jacobi algorithms for structured Hamiltonian eigenproblems
inferred← citeshttps://doi.org/10.1016/s0024-3795(03)00370-7openalex-snapshot
An SVD-like matrix decomposition and its applications
inferred← citeshttps://doi.org/10.1016/s0024-3795(96)00524-1openalex-snapshot
An implicitly restarted symplectic Lanczos method for the Hamiltonian eigenvalue problem
inferred← citeshttps://doi.org/10.1016/s0362-546x(96)00201-5openalex-snapshot
Solution of Lyapunov and Riccati equations in a multiprocessor environment
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00392-7openalex-snapshot
Numerical methods in control
inferred← citeshttps://doi.org/10.1016/s0377-0427(00)00402-7openalex-snapshot
QR-like algorithms for eigenvalue problems
inferred← citeshttps://doi.org/10.1016/s0377-0427(97)00146-5openalex-snapshot
A new method for computing the stable invariant subspace of a real Hamiltonian matrix
inferred← citeshttps://doi.org/10.1016/s0947-3580(99)70159-7openalex-snapshot
How to Decompose Semi-definite Discrete-Time Algebraic Riccati Equations
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)47271-5openalex-snapshot
Parallel Algorithms for Solving the Algebraic Riccati Equation via the Matrix Sign Function
inferred← citeshttps://doi.org/10.1016/s1474-6670(17)56502-7openalex-snapshot
On the generalized eigenspace approach for solving riccati equations *
inferred← citeshttps://doi.org/10.1023/a:1008669224277openalex-snapshot
Symplectic Methods for the Solution to Riccati Matrix Equations Related to Macroeconomic Models
inferred← citeshttps://doi.org/10.1023/b:numa.0000005349.18793.28openalex-snapshot
Block Krylov Subspace Methods for Large Algebraic Riccati Equations
inferred← citeshttps://doi.org/10.1063/1.4881145openalex-snapshot
Identifying the Hamiltonian structure in linear response theory
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/10.1109/9.1282openalex-snapshot
Defect correction method for the solution of algebraic Riccati equations
inferred← citeshttps://doi.org/10.1109/9.53524openalex-snapshot
A Hamiltonian-Jacobi algorithm
inferred← citeshttps://doi.org/10.1109/9.618237openalex-snapshot
A Jacobi-like method for solving algebraic Riccati equations on parallel computers
inferred← citeshttps://doi.org/10.1109/9.769377openalex-snapshot
An efficient algorithm for the discrete-time algebraic Riccati equation
inferred← citeshttps://doi.org/10.1109/cacs55319.2022.9969787openalex-snapshot
Robust State-Feedback $\mathbf{H}_{\infty}$ Control of Quadrotor
inferred← citeshttps://doi.org/10.1109/cacsd.1999.808621openalex-snapshot
On invariant subspaces of Hamiltonian matrices
inferred← citeshttps://doi.org/10.1109/cdc.1987.272503openalex-snapshot
Numerical algorithm for spectral factorization
inferred← citeshttps://doi.org/10.1109/cdc.1988.194726openalex-snapshot
Heuristic approaches to the solution of very large sparse Lyapunov and algebraic Riccati equations
inferred← citeshttps://doi.org/10.1109/cdc.1990.203736openalex-snapshot
Homotopy methods for the solution of general modified algebraic Riccati equations
inferred← citeshttps://doi.org/10.1109/cdc.1998.762011openalex-snapshot
Parallel solutions of large Riccati equations using epsilon decomposition
inferred← citeshttps://doi.org/10.1109/icstcc.2015.7321260openalex-snapshot
Solving SLICOT benchmarks for continuous-time algebraic Riccati equations by Hamiltonian solvers
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/10.1137/060663246openalex-snapshot
On Asymptotic Convergence of Nonsymmetric Jacobi Algorithms
inferred← citeshttps://doi.org/10.1137/0609019openalex-snapshot
A Symplectic Orthogonal Method for Single Input or Single Output Discrete Time Optimal Quadratic Control Problems
inferred← citeshttps://doi.org/10.1137/0610001openalex-snapshot
Spectral and Inner-Outer Factorizations of Rational Matrices
inferred← citeshttps://doi.org/10.1137/0612028openalex-snapshot
Implicit Shifting in the QR and Related Algorithms
inferred← citeshttps://doi.org/10.1137/0612032openalex-snapshot
Monotonicity Properties of the Toda Flow, the QR-Flow, and Subspace Iteration
inferred← citeshttps://doi.org/10.1137/0613028openalex-snapshot
A Chart of Numerical Methods for Structured Eigenvalue Problems
inferred← citeshttps://doi.org/10.1137/0614015openalex-snapshot
Bidirectional Chasing Algorithms for the Eigenvalue Problem
inferred← citeshttps://doi.org/10.1137/0909059openalex-snapshot
A Bisection Method for Measuring the Distance of a Stable Matrix to the Unstable Matrices
inferred← citeshttps://doi.org/10.1137/10079464xopenalex-snapshot
Perturbation Theory for Hamiltonian Matrices and the Distance to Bounded-Realness
inferred← citeshttps://doi.org/10.1137/19m1294265openalex-snapshot
Simultaneous Hollowization, Joint Numerical Range, and Stabilization by Noise
inferred← citeshttps://doi.org/10.1137/s0895479800367439openalex-snapshot
Numerical Computation of Deflating Subspaces of Skew-Hamiltonian/Hamiltonian Pencils
inferred← citeshttps://doi.org/10.1137/s0895479800368007openalex-snapshot
Stability of Structured Hamiltonian Eigensolvers
inferred← citeshttps://doi.org/10.1137/s0895479800375680openalex-snapshot
Nonsymmetric Algebraic Riccati Equations and Wiener--Hopf Factorization for M -Matrices
inferred← citeshttps://doi.org/10.1137/s0895479800377228openalex-snapshot
Existence, Uniqueness, and Parametrization of Lagrangian 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/s0895479889171352openalex-snapshot
Computation of Stable Invariant Subspaces of Hamiltonian Matrices
inferred← citeshttps://doi.org/10.1137/s0895479896299950openalex-snapshot
Bulge Exchanges in Algorithms of QR Type
inferred← citeshttps://doi.org/10.1137/s0895479898342420openalex-snapshot
Perturbation Analysis of Hamiltonian Schur and Block-Schur Forms
inferred← citeshttps://doi.org/10.1137/s1064827500367993openalex-snapshot
Symplectic Balancing of Hamiltonian Matrices
inferred← citeshttps://doi.org/10.1145/347837.347852openalex-snapshot
Algorithm 800
inferred← citeshttps://doi.org/10.1155/2013/438320openalex-snapshot
Real Fast Structure-Preserving Algorithm for Eigenproblem of Complex Hermitian Matrices
inferred← citeshttps://doi.org/10.13001/1081-3810.1458openalex-snapshot
Structured QR algorithms for Hamiltonian symmetric matrices
inferred← citeshttps://doi.org/10.14279/depositonce-1852openalex-snapshot
Palindromic and Even Eigenvalue Problems - Analysis and Numerical Methods
inferred← citeshttps://doi.org/10.14279/depositonce-4934openalex-snapshot
Port-Hamiltonian Realizations of Nonminimal Linear Time Invariant Systems
inferred← citeshttps://doi.org/10.1553/etna_vol52s480openalex-snapshot
On pole-swapping algorithms for the eigenvalue problem
inferred← citeshttps://doi.org/10.23919/acc.1990.4791188openalex-snapshot
Computation of Invariant Subspaces Corresponding to Stable Eigenvalues of Hamiltonian Matrices
inferred← citeshttps://doi.org/10.23919/acc.1991.4791840openalex-snapshot
Hamiltonian QR-algorithm for the Solving Algebraic Riccati Equation and Hessenberg Hamiltonian Matrices
inferred← citeshttps://doi.org/10.23919/acc.1993.4793136openalex-snapshot
On Hamiltonian Matrices, Symplectic Transformations, and Invariant Subspaces
inferred← citeshttps://doi.org/10.4225/03/58b4f797447d9openalex-snapshot
Numerical solution of large-scale problems in control system design
inferred← citeshttps://doi.org/10.4236/apm.2020.104010openalex-snapshot
Perturbation Analysis of Continuous-Time Linear Time-Invariant Systems
inferred← citeshttps://doi.org/10.48550/arxiv.1903.10313openalex-snapshot
Hamiltonian Realization of spectra
inferred← citeshttps://doi.org/10.48550/arxiv.1910.08813openalex-snapshot
Simultaneous hollowisation, joint numerical range, and stabilization by noise
inferred← citeshttps://doi.org/10.70675/7ae5260bz1214z4c30za669zeb34b9c94d22openalex-snapshot
Sur des méthodes préservant les structures d'une classe de matrices structurées
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.