Michael J. Todd

11.8k total citations · 4 hit papers
134 papers, 7.6k citations indexed

About

Michael J. Todd is a scholar working on Numerical Analysis, Computational Theory and Mathematics and Control and Systems Engineering. According to data from OpenAlex, Michael J. Todd has authored 134 papers receiving a total of 7.6k indexed citations (citations by other indexed papers that have themselves been cited), including 101 papers in Numerical Analysis, 92 papers in Computational Theory and Mathematics and 21 papers in Control and Systems Engineering. Recurrent topics in Michael J. Todd's work include Advanced Optimization Algorithms Research (96 papers), Optimization and Variational Analysis (31 papers) and Matrix Theory and Algorithms (28 papers). Michael J. Todd is often cited by papers focused on Advanced Optimization Algorithms Research (96 papers), Optimization and Variational Analysis (31 papers) and Matrix Theory and Algorithms (28 papers). Michael J. Todd collaborates with scholars based in United States, United Kingdom and Singapore. Michael J. Todd's co-authors include Kim-Chuan Toh, Reha Tütüncü, Yu. E. Nesterov, Yinyu Ye, Donald Goldfarb, Shinji Mizuno, Robert G. Bland, J. S. Marron, Arkadi Nemirovski and E. Alper Yıldırım and has published in prestigious journals such as Journal of the American Statistical Association, European Journal of Operational Research and Operations Research.

In The Last Decade

Michael J. Todd

131 papers receiving 6.9k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

SDPT3 — A Matlab software package for semidefinite programming, Version 1.3

1999 1.3k citations Michael J. Todd, Reha Tütüncü et al. profile →
Solving semidefinite-quadratic-linear programs using SDPT3

2003 811 citations Michael J. Todd et al. Mathematical Programming profile →
SDPT3 -- A Matlab Software Package for Semidefinite Programming

1996 503 citations Michael J. Todd, Reha Tütüncü et al. eCommons (Cornell University) profile →
Self-Scaled Barriers and Interior-Point Methods for Convex Programming

1997 456 citations Michael J. Todd et al. Mathematics of Operations Research profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Michael J. Todd United States	34	3.4k	3.2k	1.6k	1.5k	874	134	7.6k
Andrew R. Conn United States	33	3.7k 1.1×	3.5k 1.1×	1.5k 1.0×	1.7k 1.1×	1.0k 1.2×	91	8.4k
Claude Lemaréchal France	29	3.0k 0.9×	3.2k 1.0×	1.1k 0.7×	1.8k 1.2×	688 0.8×	58	7.7k
E. Polak United States	41	3.1k 0.9×	3.3k 1.0×	2.6k 1.6×	1.3k 0.9×	572 0.7×	210	9.3k
Reiner Horst Germany	28	3.1k 0.9×	3.0k 0.9×	1.5k 1.0×	613 0.4×	627 0.7×	65	6.1k
Paul Tseng United States	42	3.4k 1.0×	3.5k 1.1×	646 0.4×	2.3k 1.5×	541 0.6×	103	6.7k
Jean B. Lasserre France	40	3.0k 0.9×	3.1k 1.0×	2.3k 1.5×	879 0.6×	617 0.7×	296	8.4k
B. T. Polyak Russia	25	2.4k 0.7×	2.2k 0.7×	1.2k 0.8×	1.9k 1.2×	383 0.4×	87	6.7k
Layne T. Watson United States	49	1.7k 0.5×	3.4k 1.0×	861 0.5×	1.5k 1.0×	508 0.6×	403	9.7k
Henry Wolkowicz Canada	35	2.5k 0.7×	2.8k 0.9×	636 0.4×	1.2k 0.8×	919 1.1×	126	5.1k
Adrian S. Lewis United States	40	2.3k 0.7×	2.7k 0.8×	899 0.6×	1.9k 1.2×	358 0.4×	132	6.0k

Countries citing papers authored by Michael J. Todd

Since Specialization

Citations

This map shows the geographic impact of Michael J. Todd's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael J. Todd with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael J. Todd more than expected).

Fields of papers citing papers by Michael J. Todd

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael J. Todd. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael J. Todd. The network helps show where Michael J. Todd may publish in the future.

Co-authorship network of co-authors of Michael J. Todd

This figure shows the co-authorship network connecting the top 25 collaborators of Michael J. Todd. A scholar is included among the top collaborators of Michael J. Todd based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael J. Todd. Michael J. Todd is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Ahipaşaoğlu, Selin Damla & Michael J. Todd. (2011). A modified Frank–Wolfe algorithm for computing minimum-area enclosing ellipsoidal cylinders: Theory and algorithms. Computational Geometry. 46(5). 494–519. 7 indexed citations

Todd, Michael J. & E. Alper Yıldırım. (2007). On Khachiyan's algorithm for the computation of minimum-volume enclosing ellipsoids. Discrete Applied Mathematics. 155(13). 1731–1744. 137 indexed citations

Todd, Michael J.. (2007). Largest dual ellipsoids inscribed in dual cones. Mathematical Programming. 117(1-2). 425–434. 3 indexed citations

Todd, Michael J., et al.. (1998). Probabilistic analysis of two complexity measures for linear programming problems. eCommons (Cornell University). 9 indexed citations

Mizuno, Shinji, Michael J. Todd, & Yinyu Ye. (1995). A Surface of Analytic Centers and Primal-Dual Infeasible-Interior-Point Algorithms for Linear Programming. Mathematics of Operations Research. 20(1). 135–162. 21 indexed citations

Tütüncü, Reha & Michael J. Todd. (1995). Reducing horizontal linear complementarity problems. Linear Algebra and its Applications. 223-224. 717–729. 33 indexed citations

Todd, Michael J.. (1994). Scaling, shifting and weighting in interior-point methods. Computational Optimization and Applications. 3(4). 305–315. 6 indexed citations

Ye, Yinyu, Michael J. Todd, & Shinji Mizuno. (1994). An O(√nL)-Iteration Homogeneous and Self-Dual Linear Programming Algorithm. Mathematics of Operations Research. 19(1). 53–67. 198 indexed citations

Khachiyan, Leonid G. & Michael J. Todd. (1993). On the complexity of approximating the maximal inscribed ellipsoid for a polytope. Mathematical Programming. 61(1-3). 137–159. 100 indexed citations

10.

Todd, Michael J.. (1991). The affine-scaling direction for linear programming is a limit of projective-scaling directions. Linear Algebra and its Applications. 152. 93–105. 2 indexed citations

11.

Morris, Walter D. & Michael J. Todd. (1988). Symmetry and Positive Definiteness in Oriented Matroids. European Journal of Combinatorics. 9(2). 121–129. 6 indexed citations

12.

Mitchell, John E. & Michael J. Todd. (1986). On the Relationship Between the Search Directions in the Affine and Projective Variants of Karmarkar's Linear Programming Algorithm. eCommons (Cornell University). 52(2). 141–7. 7 indexed citations

13.

Todd, Michael J.. (1985). Linear and quadratic programming in oriented matroids. Journal of Combinatorial Theory Series B. 39(2). 105–133. 23 indexed citations

14.

Adler, Ilan, Nimrod Megiddo, & Michael J. Todd. (1984). New results on the average behavior of simplex algorithms. Bulletin of the American Mathematical Society. 11(2). 378–382. 12 indexed citations

15.

Todd, Michael J.. (1982). On the computational complexity of piecewise-linear homotopy algorithms. Mathematical Programming. 24(1). 216–224. 9 indexed citations

16.

Freund, Robert M. & Michael J. Todd. (1981). A constructive proof of Tucker's combinatorial lemma. Journal of Combinatorial Theory Series A. 30(3). 321–325. 26 indexed citations

17.

Todd, Michael J.. (1981). Variable dimension fixed point algorithms and triangulations. European Journal of Operational Research. 8(3). 309–310. 9 indexed citations

18.

Todd, Michael J., et al.. (1977). Thermal conductance across ball bearings in vacuum. NASA STI/Recon Technical Report N. 78. 26405. 4 indexed citations

19.

Todd, Michael J.. (1976). Characterizing binary simplical matroids. Discrete Mathematics. 16(1). 61–70. 3 indexed citations

20.

Todd, Michael J.. (1973). Complementarity Algorithms without Rays. Biochimica et Biophysica Acta. 1282(2). 182–92. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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