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Solution of nonsymmetric, linear complementarity problems by iterative methods.(English)Zbl 0422.90079


MSC:

90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming)

Cite

References:

[1]Hildreth, C.,Point Estimates of Ordinates of Concave Function, Journal of the American Statistical Association, Vol. 49, pp. 598-619, 1954. ·Zbl 0056.38301 ·doi:10.2307/2281132
[2]Christopherson, D. G.,A New Mathematical Method for the Solution of Film Lubrication Problems, Institute of Mechanical Engineers, Proceedings, Vol. 146, pp. 126-135, 1941. ·Zbl 0063.00888 ·doi:10.1243/PIME_PROC_1941_146_027_02
[3]Cryer, C. W.,The Method of Christopherson for Solving Free Boundary Problems for Infinite Journal Bearings by Means of Finite Differences, Mathematics of Computation, Vol. 25, pp. 435-443, 1971. ·Zbl 0223.65044 ·doi:10.1090/S0025-5718-1971-0298961-7
[4]Mangasarian, O. L.,Solution of Symmetric Linear Complementarity Problems by Iterative Methods, Journal of Optimization Theory and Applications, Vol. 22, pp. 465-485, 1977. ·Zbl 0341.65049 ·doi:10.1007/BF01268170
[5]Ahn, B. H.,Computation of Market Equilibria for Policy Analysis: The Project Independence Evaluation System (PIES) Approach, Garland Publishing Company, New York, New York, 1979.
[6]Mathiesen, L.,Efficiency Pricing in a Linear Programming Model: A Case of Constraints on the Dual Variables, Stanford University, Stanford, California, Operations Research Report No. 74-18, 1974.
[7]Varga, R. S.,On Recurring Theorems on Diagonal Dominance, Linear Algebra and Its Applications, Vol. 13, pp. 1-9, 1976. ·Zbl 0336.15007 ·doi:10.1016/0024-3795(76)90037-9
[8]Ortega, J. M., andRheinboldt, W. C.,Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, New York, 1970. ·Zbl 0241.65046
[9]Cottle, R. W., Golub, G. H., andSacher, R. S.,On the Solution of Large Structured Linear Complementarity Problems, III, Stanford University, Stanford, California, Operations Research Report No. 73-8, 1973.
[10]Cryer, C. W.,The Solution of a Quadratic Programming Problem Using Systematic Over-relaxation, SIAM Journal on Control, Vol. 9, pp. 385-392, 1971. ·Zbl 0216.54603 ·doi:10.1137/0309028
[11]Fiedler, M., andPtàk, V.,On Matrices with Non-Positive Off-Diagonal Elements and Positive Principal Minors, Czechoslovak Mathematical Journal, Vol. 12, pp. 382-400, 1962. ·Zbl 0131.24806
[12]Moré, J. J.,Classes of Functions and Feasibility Conditions in Nonlinear Complementarity Problems, Mathematical Programming, Vol. 6, pp. 327-338, 1974. ·Zbl 0291.90059 ·doi:10.1007/BF01580248
[13]Tamir, A.,The Complementarity Problem of Mathematical Programming, Case Western Reserve University, Cleveland, Ohio, PhD Thesis, 1973. ·Zbl 0277.15008
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
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