| Reference: | [1] B. H. Ahn [1981]. "Computation of Asymmetric Linear Complementarity Problem by Iterative Method",Journal of Optimization Theory and Applications 33.pp. 175-185.
[2] M. Aganagic [1978]. "Iterative Methods for Linear Complementarity Problems," Technical Report SOL 78-10 Systems Optimization Laboratory. Department of Operations Research. Stanford University.
[3] D. P. Bertsekas [1983]. "Distributed Asynchronous Computation of Fixed Point". Mathematical Programming 27. Pp. 107-120.
[4] G. M. Baudet [1978]. "Asynchronous Iterative Methods for Multiprocessors", Journal of the Association for Computing Machinery 22, PP. 226-244.
[5] C. W. Cryer [1971]. "The Solution of a Quadratic Programming Problem Using Systematic Overrelaxation," SIAM Control 9. pp. 385-392.
[6] R. W. CottIe, G. H. Golub and R. S. Sacher [1978], "On the Solution of Large Structured Linear Complementarity Problems: The Block Partitioned Case", Applied Mathematics and Optimization 4. PP. 347-363.
[7] Y. C. Cheng [1981], "Iterative Methods for Solving Linear Complementarity and Linear Programming Problems", Ph.D. dissertation, Department of Computer Science, University of Wisconsin (Madison Wisconsin).
[8] Y. C. Cheng [1984], "On the Gradient-Projection Method for Solving the Nonsymmetric Linear Complementarity Problem",Journal of Optimization Theory and Applications 43, PP. 527-541.
[9] G. B. Dantzig [1963], Linear Programming and Extensions, Princeton University Press, Princeton, New Jersey.
[10] G. B. Dantzig, M. A. H. Dempster and M. J. Kallio (Eds.) [1981], Large-Scale Linear Programming, Vol. 1. Proceedings of a IIASA workshop 2-6 June 1980, International Institute for Applied Systems Analysis, Laxenburg, Austria.
[11] B. C. Eaves [1971], "On Quadratic Programming",Management Science 17, Pp. 698-711.
[12] C. Hildreth [1957], A Quadratic Programming Procedure, Naval Research Logistics Quarterly 4, pp. 79-85,Erratum, ibid, p.361.
[13] R. W. Hockney [1985]. "MIMD Computing In the USA – 1984”, Parallel Computing 2, PP. 119-136.
[14] N. Karmarkar [1984], "A New Polynomial-Time Algorithm for Linear Programming," Combinatorica 4, Pp. 375-395.
[15] H. T. Kung [1976], "Synchronized and Asynchronous Parallel Algorithms for Multiprocessors", in J. F. Traub ed., Algorithms and Complexity: New Directions and Recent Results (Academic Press) pp. 153-200.
[16] Y. Y. Lin and J. S. Pang [1987]. "Iterative Methods for Large Convex Quadratic Programs: A Survey", SIAM Journal on Control and Optimization 25.pp. 383-411.
[17] O. L. Mangasarian [1977]. "Solution of Symmetric Linear Complementarity Problems by Iterative Methods". Journal of Optimization Theory and Applications 22. pp.465-485.
[18] O. L. Mangasarian [1981]. "Iterative Solution of Linear Programs." SIAM Journal on Numerical Analysis 18.pp.606-614.
[19] O. L. Mangasarian [1984a], "Normal Solutions of Linear Programs." Mathematical Programming Study 22. pp.206-216.
[20] O. L. Mangasarian [1984b], "Sparsity Preserving SOR Algorithms for Separable Quadratic and Linear Programming Problem," Computers and Operations Research . Vol. 11. pp. 105-112.
[21] O. L. Mangasarian and R. De Leone [1986a]. "Parallel Successive Overrelaxation Methods for Symmetric Linear Complementarity Problems and Linear Programs". Mathematics Research Center Report #2947. University of Wisconsin (Madison. Wisconsin).
[22] D. P. O`Leary and R. E. White [1985]. "Multi-splittings of Matrices and Parallel Solution of Linear Systems", SIAM Journal on Algebraic and Discrete Mathematics 6, pp. 630-640.
[23] J. M. Ortega and W. C. Rheinboldt [1970], Iterative Solution of Nonlinear Equations in Several Variables. Academic Press.
[24] J. M. Ortega and R. G. Voigt [1985]. "Solution of Partial Differerntial Equations on Vector and Parallel Computers". SIAM Review Vol 27. No.2. pp. 149-213.
[25] J. S. Pang [1982]. "On the Convergence of a Basic Iterative Method for the Implicit Complementarity Problem", Journal of Optimization Theory and Applications 37. pp. 149-162.
[26] J. S. Pang [1984a],"Necessary and Sufficient Conditions for the Convergence of Iterative Methods for the Linear Complementarity Problem", Journal of Optimization Theory and Applications 42, Pp. 1-18.
[27] J. S. Pang [1986a], "More Results on the Convergence of Iterative Methods for the Symmetric Linear Complementarity Problem", Journal of Optimization Theory and Applications 49, pp. 107-134.
[28] J. S. Pang and J. M. Yang [1987a], "Two-stage Parallel Iterative Methods for the Symmetric Linear Complementarity Problem," to appear in Annals of Operations Research: Parallel Optimization on Novel Computer Architectures (1988).
[29] J. S. Pang and J. M. Yang [1987c], “Computational Experience with Solving Linear Programs by Iterative Methods on CRAY Supercomputers", Proceedings of the Third Science and Engineering Symposium, Minneapolis, Minnesota (1987).
[30] Michael J. Quinn [1987],"Design efficient Algorithms for Parallel Computer", McGraw-Hill Series In Supercomputer and Artificial Intelligence.
[31] F. Robert [1969], "Blocs-H-Matrices et Convergence des Methodes Iterative Classiques par Blocs", Linear Algebra and its Applications 2, Pp. 223-265.
[32] S. M. Robinson [1980],"Strongly Regular Generalized Equations," Mathematics of Operations Research 5, Pp. 43-62.
[33] T. H. Shiau [1984]. "An Iterative Scheme for Linear Complementarity Problems," Technical Report #2737, Mathematices Research Center. University of Wisconsin-Madison.
[34] J. Traub [1964]. Iterative Methods for the Solution of Equations, Prentice Hall. Englewood Cliffs, New Jersey.
[35] R. Varga [1968]."Matrix Iterative Analysis",Prentice-Hall, Englewood Cliffs.
[36] J. M. Yang [1987], "Parallel Iterative Methods for Complementarity and Linear Programming Problems" Ph.D. dissertation. School of Management Science, University of Texas at Dallas.
[37] J.M. Yang and Tai-Sheng Chang [1988], " Semi-Asynchronous two-stage Iterative Methods for the Symmetric Linear Complementarity Problem", Contributed Paper for the 13th International Symposium on Mathematical Programming Tokyo, Japan .
[38] THE TRANSPUTER APPLICATION NOTEBOOK Architecture and Software INMOS [1989]
[39] James M Ortega [1972]. " Numerical analysis ; a second course ", New York , Academic Press . |
