Pang, J. S. On the convergence of a basic iterative method for the implicit complementarity problem. (English) Zbl 0482.90084 J. Optimization Theory Appl. 37, 149-162 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 75 Documents MSC: 90C33 Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) Keywords:implicit complementarity problem; uniqueness of solution; convergence; iterative algorithm; linear complementarity problem; successive over- relaxation; existence of solution PDFBibTeX XMLCite \textit{J. S. Pang}, J. Optim. Theory Appl. 37, 149--162 (1982; Zbl 0482.90084) Full Text: DOI References: [1] Pang, J. S.,The Implicit Complementarity Problem, Nonlinear Programming 4, Edited by O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Academic Press, New York, New York, 1981. · Zbl 0534.90090 [2] Aganagic, M.,Iterative Methods for Linear Complementarity Problems, Stanford University, Systems Optimization Laboratory, Technical Report No. SOL 78-10, 1978. [3] Ahn, B. H.,Computation of Asymmetric Linear Complementarity Problems by Iterative Methods, Journal of Optimization Theory and Applications, Vol. 33, pp. 175-185, 1981. · Zbl 0422.90079 [4] Cottle, R. W., andGoheen, M.,A Special Class of Large Quadratic Programs, Nonlinear Programming 3, Edited by O. L. Mangasarian, R. R. Meyer, and S. M. Robinson, Academic Press, New York, New York, 1978. · Zbl 0458.90049 [5] Cottle, R. W., Golub, G., andSacher, R. S.,On the Solution of Large Structured Linear Complementarity Problems: The Block Partitioned Case, Applied Mathematics and Optimization, Vol. 4, pp. 347-363, 1978. · Zbl 0391.90087 [6] Cryer, C. W.,The Solution of Quadratic Programming Problems Using Systematic Overrelaxation, SIAM Journal on Control, Vol. 9, pp. 385-392, 1971. · Zbl 0216.54603 [7] 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 [8] Ortega, J. M.,Numerical Analysis, A Second Course, Academic Press, New York, New York, 1972. · Zbl 0248.65001 [9] Varga, R. S.,On Recurring Theorems on Diagonal Dominance, Linear Algebra and Its Applications, Vol. 13, pp. 1-9, 1976. · Zbl 0336.15007 [10] Ostrowski, A. M.,Uber die Determinanten mit Uberwirgender Hauptdiagonale, Commentarii Mathematici Helvetici, Vol. 10, pp. 69-96, 1937. · JFM 63.0035.01 [11] Pang, J. S.,Hidden Z-Matrices with Positive Principal Minors, Linear Algebra and Its Applications, Vol. 22, pp. 267-281, 1978. · Zbl 0416.90072 [12] Fiedler, M., andPták, V.,On Matrices with Nonpositive Off-Diagonal Elements and Positive Principal Minors, Czech Journal of Mathematics, Vol. 12, pp. 382-400, 1962. · Zbl 0131.24806 [13] Plemmons, R. J.,M-Matrix Characterization, I: Nonsingular M-Matrices, Linear Algebra and Its Applications, Vol. 18, pp. 175-188, 1977. · Zbl 0359.15005 [14] Varga, R. S.,Matrix Iterative Analysis, Prentice-Hall, Englewood Cliffs, New Jersey, 1962. · Zbl 0133.08602 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.