Most cited papers in Advanced Optimization Algorithms Research
What are the most cited papers in Advanced Optimization Algorithms Research?
The most cited paper in Advanced Optimization Algorithms Research is "Adam: A Method for Stochastic Optimization" (Mandi, Jayanta, Canoy, Rocsildes, Bucarey, Víctor et al., 2015), with 50,327 citations. Next come "No free lunch theorems for optimization" (14,318) and "On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming" (9,722).
Showing 50 of 100 papers. Every paper with more than 1,224 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | Adam: A Method for Stochastic Optimization Mandi, Jayanta, Canoy, Rocsildes, Bucarey, Víctor et al. · DROPS (Schloss Dagstuhl – Leibniz Center for Informatics) | May 2015 | 50,327 |
| 2 | No free lunch theorems for optimization David H. Wolpert, William G. Macready · IEEE Transactions on Evolutionary Computation | Apr 1997 | 14,318 |
| 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 | YALMIP : a toolbox for modeling and optimization in MATLAB Johan Löfberg | 21 Mar 2005 | 9,338 |
| 5 | On the limited memory BFGS method for large scale optimization Dong C. Liu, Jorge Nocedal · Mathematical Programming | Aug 1989 | 8,813 |
| 6 | Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones Jos F. Sturm · Optimization methods & software | 1999 | 7,558 |
| 7 | Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions Jeffrey C. Lagarias, James A. Reeds, Margaret H. Wright et al. · SIAM Journal on Optimization | 1998 | 7,523 |
| 8 | 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 |
| 9 | Harris hawks optimization: Algorithm and applications Ali Asghar Heidari, Seyedali Mirjalili, Hossam Faris et al. · Future Generation Computer Systems | 28 Feb 2019 | 6,334 |
| 10 | Combinatorial Optimization: Algorithms and Complexity. David Johnson, Christos H. Papadimitriou, Kenneth Steiglitz · American Mathematical Monthly | Mar 1984 | 6,041 |
| 11 | Theory of Linear and Integer Programming Adam N. Letchford, Alexander Schrijver · Journal of the Operational Research Society | Jul 2000 | 5,691 |
| 12 | The method of moving asymptotes—a new method for structural optimization Krister Svanberg · International Journal for Numerical Methods in Engineering | Feb 1987 | 5,593 |
| 13 | Function minimization by conjugate gradients Roger Fletcher · The Computer Journal | Feb 1964 | 4,962 |
| 14 | 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 |
| 15 | Benchmarking optimization software with performance profiles Elizabeth D. Dolan, Jorge J. Morè · Mathematical Programming | 2002 | 4,469 |
| 16 | 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 |
| 17 | A new approach to variable metric algorithms Roger Fletcher · The Computer Journal | Mar 1970 | 4,132 |
| 18 | Partitioning procedures for solving mixed-variables programming problems J. F. Benders · Numerische Mathematik | Dec 1962 | 3,886 |
| 19 | Semidefinite Relaxation of Quadratic Optimization Problems Zhi-Quan Tom Luo, Wing‐Kin Ma, Anthony Man–Cho So et al. · IEEE Signal Processing Magazine | 23 Apr 2010 | 3,769 |
| 20 | Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming Michel X. Goemans, David P. Williamson · Journal of the ACM | Nov 1995 | 3,723 |
| 21 | Algorithm 778: L-BFGS-B Ciyou Zhu, Richard H. Byrd, Peihuang Lu et al. · ACM Transactions on Mathematical Software | Dec 1997 | 3,560 |
| 22 | The Arithmetic Optimization Algorithm Laith Abualigah, Ali H. Diabat, Seyedali Mirjalili et al. · Computer Methods in Applied Mechanics and Engineering | 12 Jan 2021 | 2,951 |
| 23 | Two-Point Step Size Gradient Methods Jonathan Barzilai, Jonathan Michael Borwein · IMA Journal of Numerical Analysis | 1988 | 2,943 |
| 24 | On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators Jonathan Eckstein, Dimitri P. Bertsekas · Mathematical Programming | Apr 1992 | 2,923 |
| 25 | The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations C. G. Broyden · IMA Journal of Applied Mathematics | 1970 | 2,913 |
| 26 | Optimization of Control Parameters for Genetic Algorithms John J. Grefenstette · IEEE Transactions on Systems Man and Cybernetics | 1986 | 2,869 |
| 27 | An introduction to functional grammar G. David Morley · Lingua | Jun 1986 | 2,789 |
| 28 | Updating quasi-Newton matrices with limited storage Jorge Nocedal · Mathematics of Computation | 1980 | 2,754 |
| 29 | Graph Implementations for Nonsmooth Convex Programs Michael C. Grant, Stephen Boyd · Lecture notes in control and information sciences | Dec 2007 | 2,753 |
| 30 | Firefly algorithm, stochastic test functions and design optimisation Xin‐She Yang · International Journal of Bio-Inspired Computation | 2010 | 2,725 |
| 31 | The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming Lev M. Bregman · USSR Computational Mathematics and Mathematical Physics | 1967 | 2,699 |
| 32 | The particle swarm optimization algorithm: convergence analysis and parameter selection Ioan-Cristian Trelea · Information Processing Letters | 11 Feb 2003 | 2,645 |
| 33 | Convergence acceleration of iterative sequences. the case of scf iteration Péter Pulay · Chemical Physics Letters | Jul 1980 | 2,644 |
| 34 | Robust Convex Optimization Aharon Ben‐Tal, Arkadi S. Nemirovski · Mathematics of Operations Research | Nov 1998 | 2,632 |
| 35 | Global Optimization with Polynomials and the Problem of Moments Jean Bernard Lasserre · SIAM Journal on Optimization | 2001 | 2,610 |
| 36 | Smooth minimization of non-smooth functions Yu. Nesterov · Mathematical Programming | 29 Dec 2004 | 2,600 |
| 37 | Multiplier and gradient methods Magnus Rudolph Hestenes · Journal of Optimization Theory and Applications | Nov 1969 | 2,502 |
| 38 | Applications of second-order cone programming Miguel Sousa Lobo, Lieven Vandenberghe, Stephen Boyd et al. · Linear Algebra and its Applications | Nov 1998 | 2,442 |
| 39 | Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems Garth P. McCormick · Mathematical Programming | Dec 1976 | 2,341 |
| 40 | Mean value methods in iteration W. Robert Mann · Proceedings of the American Mathematical Society | Jun 1953 | 2,327 |
| 41 | Theory of Linear and Integer Programming. David Keith Smith, Alexander Schrijver · Journal of the Operational Research Society | Jun 1987 | 2,292 |
| 42 | Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation Andreas Griewank, Andrea Walther | 1987 | 2,215 |
| 43 | Proximal Algorithms Neal Parikh, Stephen Boyd · Foundations and Trends® in Optimization | 2014 | 2,152 |
| 44 | Introduction to linear and nonlinear programming Elijah Polak · IEEE Transactions on Automatic Control | Jun 1974 | 2,110 |
| 45 | Convergence of a Block Coordinate Descent Method for Nondifferentiable Minimization P-C Tseng · Journal of Optimization Theory and Applications | Jun 2001 | 2,046 |
| 46 | Branch-and-Bound Methods: A Survey Eugene L. Lawler, Derek Wood · Operations Research | Aug 1966 | 2,014 |
| 47 | SDPT3 — A Matlab software package for semidefinite programming, Version 1.3 Kim-Chuan Toh, Michael J. Todd, Reha H. Tütüncü · Optimization methods & software | 1999 | 1,945 |
| 48 | 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 |
| 49 | Management Models and Industrial Applications of Linear Programming A. Charnes, William White Cooper · Management Science | Oct 1957 | 1,909 |
| 50 | An improved harmony search algorithm for solving optimization problems Mehrdad Mahdavi, M. Fesanghary, Ebrahim Damangir · Applied Mathematics and Computation | 21 Dec 2006 | 1,875 |
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.