Richard W. Cottle

8.7k total citations · 3 hit papers
58 papers, 4.7k citations indexed

About

Richard W. Cottle is a scholar working on Computational Theory and Mathematics, Numerical Analysis and Transportation. According to data from OpenAlex, Richard W. Cottle has authored 58 papers receiving a total of 4.7k indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Computational Theory and Mathematics, 28 papers in Numerical Analysis and 8 papers in Transportation. Recurrent topics in Richard W. Cottle's work include Advanced Optimization Algorithms Research (27 papers), Matrix Theory and Algorithms (24 papers) and Optimization and Variational Analysis (14 papers). Richard W. Cottle is often cited by papers focused on Advanced Optimization Algorithms Research (27 papers), Matrix Theory and Algorithms (24 papers) and Optimization and Variational Analysis (14 papers). Richard W. Cottle collaborates with scholars based in United States, Taiwan and Germany. Richard W. Cottle's co-authors include Jong‐Shi Pang, Richard Stone, George B. Dantzig, Jen-Chih Yao, E. Eisenberg, Arthur F. Veinott, Gene H. Golub, G. J. Habetler, C. E. Lemke and Jacques A. Ferland and has published in prestigious journals such as IEEE Transactions on Automatic Control, Water Resources Research and Operations Research.

In The Last Decade

Richard W. Cottle

56 papers receiving 4.2k citations

Hit Papers

The Linear Complementari... 1968 2026 1987 2006 2009 1993 1968 400 800 1.2k
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.

  1. The Linear Complementarity Problem
    2009 1.2k citations Richard W. Cottle, Jong‐Shi Pang et al. profile →
  2. The Linear Complementarity Problem.
    1993 987 citations Richard W. Cottle, Jong‐Shi Pang et al. profile →
  3. Complementary pivot theory of mathematical programming
    1968 548 citations Richard W. Cottle, George B. Dantzig Linear Algebra and its Applications profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Richard W. Cottle United States 25 3.0k 2.3k 876 526 332 58 4.7k
C. Roos Netherlands 33 2.7k 0.9× 2.8k 1.2× 653 0.7× 350 0.7× 698 2.1× 133 4.3k
Kazuo Murota Japan 34 1.7k 0.6× 656 0.3× 446 0.5× 386 0.7× 349 1.1× 215 4.1k
Jean‐Baptiste Hiriart‐Urruty France 26 3.0k 1.0× 2.5k 1.1× 734 0.8× 255 0.5× 1.2k 3.5× 79 5.3k
Narendra Karmarkar United States 16 2.2k 0.7× 1.7k 0.7× 566 0.6× 702 1.3× 392 1.2× 27 4.6k
Tamás Terlaky Netherlands 30 2.4k 0.8× 2.5k 1.1× 1.0k 1.2× 345 0.7× 651 2.0× 186 4.4k
Christian Kanzow Germany 45 4.1k 1.4× 3.8k 1.6× 1.2k 1.4× 474 0.9× 729 2.2× 135 6.3k
Siegfried Schaible United States 40 4.1k 1.4× 2.8k 1.2× 1.5k 1.8× 493 0.9× 136 0.4× 115 5.3k
Katta G. Murty United States 25 1.1k 0.4× 818 0.4× 650 0.7× 372 0.7× 214 0.6× 78 4.3k
Romesh Saigal United States 23 989 0.3× 896 0.4× 387 0.4× 305 0.6× 325 1.0× 70 2.2k
Hoàng Tụy Vietnam 28 1.7k 0.6× 1.8k 0.8× 975 1.1× 719 1.4× 342 1.0× 98 3.7k

Countries citing papers authored by Richard W. Cottle

Since Specialization
Citations

This map shows the geographic impact of Richard W. Cottle'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 Richard W. Cottle with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Richard W. Cottle more than expected).

Fields of papers citing papers by Richard W. Cottle

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard W. Cottle. 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 Richard W. Cottle. The network helps show where Richard W. Cottle may publish in the future.

Co-authorship network of co-authors of Richard W. Cottle

This figure shows the co-authorship network connecting the top 25 collaborators of Richard W. Cottle. A scholar is included among the top collaborators of Richard W. Cottle 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 Richard W. Cottle. Richard W. Cottle is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Cottle, Richard W., et al.. (2017). Linear and Nonlinear Optimization. International series in management science/operations research/International series in operations research & management science. 20 indexed citations
2.
Adler, Ilan, et al.. (2009). New characterizations of row sufficient matrices. Linear Algebra and its Applications. 430(11-12). 2950–2960. 3 indexed citations
3.
Cottle, Richard W.. (2009). A field guide to the matrix classes found in the literature of the linear complementarity problem. Journal of Global Optimization. 46(4). 571–580. 12 indexed citations
4.
Cottle, Richard W.. (2005). George B. Dantzig: Operations Research Icon. Operations Research. 53(6). 892–898. 5 indexed citations
5.
Cottle, Richard W. & Sy‐Ming Guu. (1992). Two characterizations of sufficient matrices. Linear Algebra and its Applications. 170. 65–74. 18 indexed citations
6.
Cottle, Richard W., et al.. (1989). Sufficient matrices and the linear complementarity problem. Linear Algebra and its Applications. 114-115. 231–249. 108 indexed citations
7.
Broadie, Mark & Richard W. Cottle. (1984). A note on triangulating the 5-cube. Discrete Mathematics. 52(1). 39–49. 7 indexed citations
8.
Cottle, Richard W., et al.. (1981). On spherically convex sets and Q-matrices. Linear Algebra and its Applications. 41. 73–80. 4 indexed citations
9.
Cottle, Richard W.. (1980). Observations on a class of nasty linear complementarity problems. Discrete Applied Mathematics. 2(2). 89–111. 8 indexed citations
10.
Cottle, Richard W.. (1977). Fundamentals of Quadratic Programming and Linear Complementarity.. Defense Technical Information Center (DTIC). 9 indexed citations
11.
Cottle, Richard W., et al.. (1976). On the solution of large, structured linear complementarity problems: The tridiagonal case. Applied Mathematics & Optimization. 3(4). 321–340. 35 indexed citations
12.
Cottle, Richard W.. (1975). On manifestations of the Schur complement. Rendiconti del Seminario Matematico e Fisico di Milano. 45(1). 31–40. 11 indexed citations
13.
Cottle, Richard W., et al.. (1974). Solution of large, structured linear complementarity problems. III. Technical report 74-7. OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information). 4 indexed citations
14.
Cottle, Richard W. & Jacques A. Ferland. (1972). Matrix-theoretic criteria for the quasi-convexity and pseudo-convexity of quadratic functions. Linear Algebra and its Applications. 5(2). 123–136. 28 indexed citations
15.
Cottle, Richard W. & Jacques A. Ferland. (1971). On pseudo-convex functions of nonnegative variables. Mathematical Programming. 1(1). 95–101. 16 indexed citations
16.
Cottle, Richard W., G. J. Habetler, & C. E. Lemke. (1970). On classes of copositive matrices. Linear Algebra and its Applications. 3(3). 295–310. 68 indexed citations
17.
Cottle, Richard W. & George B. Dantzig. (1970). A generalization of the linear complementarity problem. Journal of Combinatorial Theory. 8(1). 79–90. 133 indexed citations
18.
Cottle, Richard W. & George B. Dantzig. (1968). Complementary pivot theory of mathematical programming. Linear Algebra and its Applications. 1(1). 103–125. 548 indexed citations breakdown →
19.
Mond, B. & Richard W. Cottle. (1966). Self-Duality in Mathematical Programming. SIAM Journal on Applied Mathematics. 14(3). 420–423. 16 indexed citations
20.
Cottle, Richard W.. (1963). Symmetric dual quadratic programs. Quarterly of Applied Mathematics. 21(3). 237–243. 80 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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