• Publications
  • Influence
Linear Complementarity Problem.
  • R. Cottle
  • Mathematics, Computer Science
  • 18 February 1992
An article holding receptacle, such as an expandable envelope, is releasably secured to the steering column of an automotive vehicle by means of an elasticized band wrapped partly around the steeringExpand
Linear Complementarity Problem
  • R. Cottle
  • Computer Science
  • Encyclopedia of Optimization
  • 2009
An article holding receptacle, such as an expandable envelope, is releasably secured to the steering column of an automotive vehicle by means of an elasticized band wrapped partly around the steeringExpand
COMPLEMENTARY PIVOT THEORY OF MATHEMATICAL PROGRAMMING
Abstract : Problems of the form: Find w and z satisfying w = q + Mz, w = or 0, z = or 0, zw = 0 play a fundamental role in mathematical programming. This paper describes the role of such problems inExpand
A generalization of the linear complementarity problem
Abstract The linear complementarity problem: find z∈Rp satisfying w = q + M z w ⩾ 0 , z ⩾ 0 ( LCP ) z T w = 0 is generalized to a problem in which the matrix M is not square. A solution techniqueExpand
Sufficient matrices and the linear complementarity problem
Abstract We pose and answer two questions about solutions of the linear complementarity problem (LCP). The first question is concerned with the conditions on a matrix M which guarantee that for everyExpand
Manifestations of the Schur complement
In this paper the author is concerned with some of the ways in which the Schur complement can be used in numerical linear algebra.
On a subclass of P0
Abstract In 1966, Fiedler and Ptak wrote the first systematic investigation of the matrix class P 0 consisting of all real square matrices with nonnegative principal minors. In this note, we focus onExpand
Equilibrium problems with equilibrium constraints: stationarities, algorithms, and applications
An equilibrium problem with equilibrium constraints (EPEC) is a member of a new class of mathematical programs that often arise in engineering and economics applications. One important application ofExpand
On classes of copositive matrices
Abstract Characterizations are given of copositive, strictly copositive, and copositive plus matrices, and their quadratic forms, together with relationships of these with positive semidefiniteExpand
A constructive characterization ofQo-matrices with nonnegative principal minors
TLDR
This work constructively characterize the matrix class known as Qo∩Po, which gives a finitely testable set of necessary and sufficient conditions under which a matrix with nonnegative principal minors has the property that if a corresponding linear complementarity problem is feasible then it is solvable. Expand
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