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Gould, F. J.; Tolle, J. W.

Complementary pivoting on a pseudo-manifold structure with applications in the decision sciences. (English) Zbl 0515.90053

Sigma Series in Applied Mathematics, 2. Berlin: Heldermann Verlag. IV, 203 p. DM 58.00 (1983).
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MSC:

90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)
90-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming
49-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control
49M37 Numerical methods based on nonlinear programming
65-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis
54H25 Fixed-point and coincidence theorems (topological aspects)
65H10 Numerical computation of solutions to systems of equations
90C30 Nonlinear programming
90C05 Linear programming
49M30 Other numerical methods in calculus of variations (MSC2010)
65H05 Numerical computation of solutions to single equations
54C60 Set-valued maps in general topology
65D15 Algorithms for approximation of functions
90C90 Applications of mathematical programming

Keywords:

complementary pivoting algorithms; fixed points; highly nonlinear problems; unifying exposition of algorithms; applications to decision sciences; simplex; complex; pseudomanifolds; simple polytope; triangulation; Scarf’s primitive sets; labeling function; j-adjacent path; linear complementarity problem; unconstrained convex nondifferentiable minimization
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