Topic · Matrix Theory and Algorithms
Most cited papers in Matrix Theory and Algorithms
What are the most cited papers in Matrix Theory and Algorithms?
The most cited paper in Matrix Theory and Algorithms is "LINCS: A linear constraint solver for molecular simulations" (Berk Hess, Henk Bekker, Herman J. C. Berendsen et al., 1997), with 17,504 citations. Next come "An Index of Factorial Simplicity" (14,788) and "On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming" (9,722).
Showing 50 of 99 papers. Every paper with more than 1,152 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | LINCS: A linear constraint solver for molecular simulations Berk Hess, Henk Bekker, Herman J. C. Berendsen et al. · Journal of Computational Chemistry | Sep 1997 | 17,504 |
| 2 | An Index of Factorial Simplicity Henry F. Kaiser · Psychometrika | Mar 1974 | 14,788 |
| 3 | On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming Andreas Wächter, Lorenz T. Biegler · Mathematical Programming | 28 Apr 2005 | 9,722 |
| 4 | On the limited memory BFGS method for large scale optimization Dong C. Liu, Jorge Nocedal · Mathematical Programming | Aug 1989 | 8,813 |
| 5 | A Limited Memory Algorithm for Bound Constrained Optimization Richard H. Byrd, Peihuang Lu, Jorge Nocedal et al. · SIAM Journal on Scientific Computing | Sep 1995 | 6,417 |
| 6 | Rate control for communication networks: shadow prices, proportional fairness and stability Frank P. Kelly, A.K. Maulloo, D K H Tan · Journal of the Operational Research Society | Mar 1998 | 5,106 |
| 7 | An efficient method for finding the minimum of a function of several variables without calculating derivatives M. J. D. Powell · The Computer Journal | Feb 1964 | 4,668 |
| 8 | A generalized inverse for matrices Roger Penrose · Mathematical Proceedings of the Cambridge Philosophical Society | Jul 1955 | 4,579 |
| 9 | An iteration method for the solution of the eigenvalue problem of linear differential and integral operators Cornelius Lanczos · Journal of research of the National Bureau of Standards | Oct 1950 | 4,448 |
| 10 | LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares Christopher C. Paige, Michael A. Saunders · ACM Transactions on Mathematical Software | Mar 1982 | 4,448 |
| 11 | Some Mathematical Notes on Three-Mode Factor Analysis Ledyard R Tucker · Psychometrika | Sep 1966 | 4,345 |
| 12 | The university of Florida sparse matrix collection Timothy A. Davis, Yifan Hu · ACM Transactions on Mathematical Software | Nov 2011 | 3,709 |
| 13 | The MATLAB ODE Suite Lawrence F. Shampine, Mark W. Reichelt · SIAM Journal on Scientific Computing | 1997 | 3,654 |
| 14 | Algorithm 368: Numerical inversion of Laplace transforms [D5] Harald Stehfest · Communications of the ACM | 1970 | 3,620 |
| 15 | Algorithm 778: L-BFGS-B Ciyou Zhu, Richard H. Byrd, Peihuang Lu et al. · ACM Transactions on Mathematical Software | Dec 1997 | 3,560 |
| 16 | Quantum Algorithm for Linear Systems of Equations Aram W. Harrow, Avinatan Hassidim, Seth Lloyd · Physical Review Letters | 7 Oct 2009 | 3,411 |
| 17 | A linear matrix inequality approach to H ∞ control Pascal M. Gahinet, Pierre Apkarian · International Journal of Robust and Nonlinear Control | 1994 | 3,238 |
| 18 | Block-iterative frequency-domain methods for Maxwell's equations in a planewave basis Steven G. Johnson, John D. Joannopoulos · Optics Express | 29 Jan 2001 | 3,227 |
| 19 | A well-conditioned estimator for large-dimensional covariance matrices Olivier Ledoit, Michael Wolf · Journal of Multivariate Analysis | 16 Jul 2003 | 3,093 |
| 20 | Two-Point Step Size Gradient Methods Jonathan Barzilai, Jonathan Michael Borwein · IMA Journal of Numerical Analysis | 1988 | 2,943 |
| 21 | The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations C. G. Broyden · IMA Journal of Applied Mathematics | 1970 | 2,913 |
| 22 | Singular value decomposition and least squares solutions Gene Howard Golub, Christian H. Reinsch · Numerische Mathematik | Apr 1970 | 2,908 |
| 23 | Spherical splines for scalp potential and current density mapping Fabien Perrin, J. Pernier, Olivier Bertrand et al. · Electroencephalography and Clinical Neurophysiology | Feb 1989 | 2,887 |
| 24 | Optimal Control: Linear Quadratic Methods Brian D. O. Anderson, John B. Moore | Jun 1979 | 2,861 |
| 25 | An introduction to functional grammar G. David Morley · Lingua | Jun 1986 | 2,789 |
| 26 | A multicenter numerical integration scheme for polyatomic molecules Axel D. Becke · The Journal of Chemical Physics | 15 Feb 1988 | 2,775 |
| 27 | Updating quasi-Newton matrices with limited storage Jorge Nocedal · Mathematics of Computation | 1980 | 2,754 |
| 28 | Reciprocally convex approach to stability of systems with time-varying delays PooGyeon Park, Jeong Wan Ko, Changki Jeong · Automatica | 21 Nov 2010 | 2,680 |
| 29 | Convergence acceleration of iterative sequences. the case of scf iteration Péter Pulay · Chemical Physics Letters | Jul 1980 | 2,644 |
| 30 | SUNDIALS A.C. Hindmarsh, Peter N. Brown, Keith Eric Grant et al. · ACM Transactions on Mathematical Software | Sep 2005 | 2,634 |
| 31 | Global Optimization with Polynomials and the Problem of Moments Jean Bernard Lasserre · SIAM Journal on Optimization | 2001 | 2,610 |
| 32 | An approach to fuzzy control of nonlinear systems: stability and design issues Hua O. Wang, Kazuo A. TANAKA, Mike Griffin · IEEE Transactions on Fuzzy Systems | 1996 | 2,549 |
| 33 | For most large underdetermined systems of linear equations the minimal 𝓁 1 ‐norm solution is also the sparsest solution David L. Donoho · Communications on Pure and Applied Mathematics | 23 Mar 2006 | 2,544 |
| 34 | Multiplier and gradient methods Magnus Rudolph Hestenes · Journal of Optimization Theory and Applications | Nov 1969 | 2,502 |
| 35 | Multiobjective output-feedback control via LMI optimization Carsten W. Scherer, Pascal M. Gahinet, M. Chilali · IEEE Transactions on Automatic Control | Jul 1997 | 2,445 |
| 36 | Nineteen Dubious Ways to Compute the Exponential of a Matrix, Twenty-Five Years Later C Moler, Charles Van Loan · SIAM Review | 2003 | 2,399 |
| 37 | Feedback and optimal sensitivity: Model reference transformations, multiplicative seminorms, and approximate inverses G. Zames · IEEE Transactions on Automatic Control | Apr 1981 | 2,372 |
| 38 | Numerical solution of saddle point problems Michele Benzi, Gene Howard Golub, Jörg Liesen · Acta Numerica | 19 Apr 2005 | 2,339 |
| 39 | A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling Patrick Amestoy, Iain Duff, Jean-Yves L’Excellent et al. · SIAM Journal on Matrix Analysis and Applications | 2001 | 2,304 |
| 40 | Analysis of Numerical Methods Eugene Isaacson, Herbert B. Keller, George H. Weiss · Physics Today | Jul 1967 | 2,289 |
| 41 | Wirtinger-based integral inequality: Application to time-delay systems Alexandre Seuret, Frédéric Gouaisbaut · Automatica | 25 Jun 2013 | 2,283 |
| 42 | On the distribution of the largest eigenvalue in principal components analysis Iain M. Johnstone · The Annals of Statistics | Apr 2001 | 2,059 |
| 43 | A Technique for the Numerical Solution of Certain Integral Equations of the First Kind David Lee Phillips · Journal of the ACM | 1962 | 2,042 |
| 44 | A cone complementarity linearization algorithm for static output-feedback and related problems Laurent El Ghaoui, François Oustry, M. Ait-Rami · IEEE Transactions on Automatic Control | 1997 | 2,028 |
| 45 | Jacobian-free Newton–Krylov methods: a survey of approaches and applications Dana A. Knoll, David Elliot Keyes · Journal of Computational Physics | 9 Oct 2003 | 1,956 |
| 46 | Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4] Richard H. Bartels, George Walter Stewart · Communications of the ACM | Sep 1972 | 1,955 |
| 47 | On a Hilbert space of analytic functions and an associated integral transform part I V. Bargmann · Communications on Pure and Applied Mathematics | Aug 1961 | 1,916 |
| 48 | Kronecker products and matrix calculus in system theory John Brewer · IEEE Transactions on Circuits and Systems | Sep 1978 | 1,916 |
| 49 | Asymptotic waveform evaluation for timing analysis Lawrence T. Pillage, R.A. Rohrer · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems | Apr 1990 | 1,877 |
| 50 | A set of level 3 basic linear algebra subprograms Jack J. Dongarra, Jeremy Du Croz, Sven J. Hammarling et al. · ACM Transactions on Mathematical Software | Mar 1990 | 1,843 |
Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.