Richard W. Cottle | Academic Influence

Richard W. Cottle's AcademicInfluence.com Rankings

Richard W. Cottle

Mathematics

#4692

World Rank

#6645

Historical Rank

#1598

USA Rank

Measure Theory

#1457

World Rank

#1826

Historical Rank

#494

USA Rank

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Mathematics

Richard W. Cottle's Degrees

PhD Mathematics Stanford University
Masters Mathematics Stanford University
Bachelors Mathematics Stanford University

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Why Is Richard W. Cottle Influential?

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According to Wikipedia, Richard W. Cottle is an American mathematician. He was a professor of Management Science and Engineering at Stanford University, starting as an Acting Assistant Professor of Industrial Engineering in 1966 and retiring in 2005. He is notable for his work on mathematical programming/optimization, “Nonlinear programs”, the proposal of the linear complementarity problem, and the general field of operations research.

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Richard W. Cottle's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Linear Complementarity Problem (1992) (2386)
COMPLEMENTARY PIVOT THEORY OF MATHEMATICAL PROGRAMMING (1968) (804)
Manifestations of the Schur complement (1974) (251)
Pseudo-monotone complementarity problems in Hilbert space (1992) (214)
Symmetric dual nonlinear programs. (1965) (207)
A generalization of the linear complementarity problem (1970) (164)
Sufficient matrices and the linear complementarity problem (1989) (148)
On manifestations of the Schur complement (1975) (114)
On classes of copositive matrices (1970) (108)
Polyhedral sets having a least element (1972) (97)
Symmetric dual quadratic programs (1963) (97)
Monotone solutions of the parametric linear complementarity problem (1972) (82)
Equilibrium problems with equilibrium constraints: stationarities, algorithms, and applications (2005) (74)
On the solution of large, structured linear complementarity problems: The block partitioned case (1977) (67)
On a Problem in Linear Inequalities (1968) (67)
A Lagrangean relaxation algorithm for the constrained matrix problem (1986) (62)
On solving linear complementarity problems as linear programs (1978) (60)
Least-Index Resolution of Degeneracy in Linear Complementarity Problems with Sufficient Matrices (1979) (52)
On the solution of large, structured linear complementarity problems: The tridiagonal case (1976) (47)
Management model of a groundwater system with a transient pollutant source (1979) (46)
MATRIX-THEORETIC CRITERIA FOR THE QUASI-CONVEXITY AND PSEUDO-CONVEXITY OF QUADRATIC FUNCTIONS. (1972) (45)
The principal pivoting method revisited (1990) (43)
QUADRATIC FORMS SEMI-DEFINITE OVER CONVEX CONES. (1967) (42)
Note on a Fundamental Theorem in Quadratic Programming (1964) (40)
On the uniqueness of solutions to linear complementarity problems (1983) (40)
A constructive characterization ofQo-matrices with nonnegative principal minors (1987) (36)
Minimal triangulation of the 4-cube (1982) (36)
On the convergence of a block successive over-relaxation method for a class of linear complementarity problems (1982) (35)
A SPECIAL CLASS OF LARGE QUADRATIC PROGRAMS (1978) (35)
On the solution of large, structured linear complementarity problems: III. (1974) (35)
Solution rays for a class of complementarity problems (1974) (35)
On a subclass of P0 (1995) (34)
A Least-Element Theory of Solving Linear Complementarity Problems as Linear Programs (1978) (29)
Two characterizations of sufficient matrices (1992) (28)
Fundamentals of Quadratic Programming and Linear Complementarity. (1977) (27)
A note onQ-matrices (1979) (27)
POSITIVE (SEMI-) DEFINITE MATRICES AND MATHEMATICAL PROGRAMMING (1963) (27)
A field guide to the matrix classes found in the literature of the linear complementarity problem (2010) (27)
On pseudo-convex functions of nonnegative variables (1971) (24)
Numerical methods for complementarity problems in engineering and applied science (1979) (23)
Least-index resolution of degeneracy in quadratic programming (1980) (22)
RITTER'S CUTTING PLANE METHOD FOR NONCONVEX QUADRATIC PROGRAMMING (1969) (19)
Self-Duality in Mathematical Programming (1966) (15)
Observations on a class of nasty linear complementarity problems (1980) (15)
Linear and Nonlinear Optimization (2017) (15)
Complementarity and fixed point problems (1978) (14)
Letter to the Editor - On the Convexity of Quadratic Forms Over Convex Sets (1967) (14)
George B. Dantzig: a legendary life in mathematical programming (2006) (13)
A note on triangulating the 5-cube (1984) (13)
William Karush and the KKT Theorem (2012) (13)
Mathematical programming : essays in honor of George B. Dantzig (1985) (12)
Algorithmic equivalence in quadratic programming, I: A least-distance programming problem (1979) (11)
The Basic George B. Dantzig (2003) (10)
On Minkowski matrices and the linear complementarity problem (1975) (10)
George B. Dantzig: Operations Research Icon (2005) (9)
Computational Experience With Large-Scale Linear Complementarity Problems (1977) (9)
On spherically convex sets and Q-matrices (1981) (9)
A Theorem of Fritz John in Mathematical Programming (2014) (9)
Solution of large, structured linear complementarity problems. III. Technical report 74-7 (1974) (9)
Nonlinear Programming (1972) (8)
Some LCPs solvable in strongly polynomial time with Lemke’s algorithm (2016) (6)
Linear Complementarity Since 1978 (2005) (6)
Dantzig, George B. (1914–2005) (2008) (5)
The Box Method for Linear Programming. Part 1. Basic Theory. (1987) (4)
On Pseudoconvex Quadratic Forms (1980) (4)
On the need for a system optimization laboratory (1972) (4)
Sufficient matrices belong to L (2006) (4)
New characterizations of row sufficient matrices (2009) (4)
Three remarks about two papers on quadratic forms (1975) (3)
Quartic Barriers (1999) (2)
Computational Aspects of General Equilibrium Theory (2009) (2)
A Parametric Linear Complementarily Problem (G. Maier) (1973) (2)
Harry Markowitz and the Early History of Quadratic Programming (2010) (2)
On Q-Matrices, Centroids and Simplotopes. (1979) (2)
Completely- matrices (1980) (2)
The Mathematical Programming Society (1977) (2)
George B . Dantzig ( 1914 – 2005 ) (2007) (1)
5. Iterative Methods (2009) (1)
Letter to the Editor—Comments on the Note by Kortanek and Jeroslow, “Some Classical Methods in Constrained Optimization and Positively Bounded Jacobians” (1967) (1)
The Box Method for Linear Programming. Part 2. Treatment of Problems in Standard Form with Explicitly Bounded Variables. (1987) (1)
Linear Programs and Related Problems (Evar D. Nering and Albert W. Tucker) (1994) (1)
A brief history of the International Symposia on Mathematical Programming (2010) (1)
3. Existence and Multiplicity (2009) (1)
Mathematical programming : proceedings of the International Congress on Mathematical Programming, Rio de Janeiro, Brazil, 6-8 April, 1981 (1984) (1)
Measuring conformability of probabilities (2001) (0)
Systems Optimization Project. Progress report, 1 October 1975--30 June 1976. [Systems Optimization Lab. , Dept. of Operations Research, Stanford Univ] (1976) (0)
THE SIMPLEX ALGORITHM CONTINUED (2017) (0)
Introduction to Linear Programming (1974) (0)
Some LCPs solvable in strongly polynomial time with Lemke’s algorithm (2016) (0)
The journal (1980) (0)
Book reviews (1973) (0)
SOME COMPUTATIONAL CONSIDERATIONS (2017) (0)
PROBLEMS WITH LINEAR CONSTRAINTS (2017) (0)
PROBLEMS WITH NONLINEAR CONSTRAINTS (2017) (0)
A Class of Smoothing Functionsfor Nonlinear and Mixed Complementarity ProblemsDedicated to (2013) (0)
Chapter 1 Pre-Requisites (2014) (0)
Optimization methods for resource allocation : the proceedings of a NATO conference held in Elsinore, Denmark (1974) (0)
STOCHASTIC MATHEMATICAL PROGRAMS. Project Summary 1966--1972, and Progress Report January 1, 1972--September 30, 1972. (1972) (0)
Operations Research: Process and Strategy. David S. Stoller. University of California Press, Berkeley, 1964. viii + 159 pp. Illus. $5 (1965) (0)
BOOK REVIEW (2008) (0)
On “Pre-historic” Linear Programming and the Figure of the Earth (2017) (0)
On a Subclass of Po (2003) (0)
L. HALLER and I. G. T. MILLER: Direct Hypercone Unconstrained Minimization G. HORNE and G. S. TRACZ: Nonlinear Programming and Second Variation Schemes in Constrained Optimal Control Problems G. ZOUTENDIJK: On Continuous Finite-Dimensional Constrained Optimization PART VIII. PIVOTAL METHODS (2016) (0)
7. Sensitivity and Stability Analysis (2009) (0)
Systems optimization project. Progress report, 30 September 1972--30 June 1973 (1973) (0)
CITY OF LONDON TRAFFIC STUDY (1974) (0)
NLP MODELS AND APPLICATIONS (2017) (0)
THE SIMPLEX ALGORITHM (2017) (0)
LP MODELS AND APPLICATIONS (2017) (0)
COMPLEMENTARY SOLUTIONS FOR SYSTEMS OF LINEAR EQUATIONS (2015) (0)
Closed-form solution of a maximization problem (2008) (0)
Hayflick-NIH Settlement (1982) (0)
4. Pivoting Methods (2009) (0)
LINEAR EQUATIONS AND INEQUALITIES (2017) (0)
Book reviews (1991) (0)
SystemsDICIECP L Optimization Laboratory N 00 TThe Box Method for Linear Programming : Part II-Treatment of Problems in Standard Form with Explicitly Bounded Variables by * (0)
Estimating ordered parameters by linear programming (2008) (0)
Decision Making and Its Application: Operations Research: Process and Strategy . David S. Stoller. University of California Press, Berkeley, 1964. viii + 159 pp. Illus. $5. (1965) (0)
Mathematical Methods in Operations Research and Computer Science (1992) (0)
Problems for Solution: E1516-E1520 (1962) (0)
Book reviews (1988) (0)
Quadratic-Programming Criteria for Copositive Matrices (2001) (0)
PROGRESS REPORT, JUNE 15, 1970--SEPTEMBER 30, 1971. (1971) (0)
Specially Structured Mathematical Programming Problems. (1978) (0)
DUALITY AND THE DUAL SIMPLEX ALGORITHM (2017) (0)
6. Geometry and Degree Theory (2009) (0)
INTERIOR-POINT METHODS (2017) (0)
On “Pre-historic” Linear Programming and the Figure of the Earth (2017) (0)

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