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Book Review
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Book Information
Author(s):
R.~W. Cottle, J.~S. Pang, and R.~E. Stone
Title:
The linear complementarity problem
Additional book information:
Academic Press, New York, 1992, xxiv+762 pp., US$59.95. ISBN 0-12-192350-9
References:
-
- [1]
- R. W. Cottle, J. S. Pang, and R. E. Stone, The Linear Complementarity Problem, Academic Press, New York, 1992. MR 1150683 (93f:90001)
- [2]
- S. Dirkse, M. Ferris, P. Preckel, and T. Rutherford, The GAMS callable program library for variational and complementarity solvers, manuscript, April 1992.
- [3]
- B. C. Eaves, The linear complementarity problem, Management Sci. 17 (1971), 612-634. MR 0282663 (43:8372)
- [4]
- -, On the basic theorem of complementarity, Math. Programming 1 (1971), 68-87. MR 0287901 (44:5103)
- [5]
- M. Kojima, N. Megiddo, T. Noma, and A. Yoshise, A unified approach to interior point algorithms for linear complementarity problems, Lecture Notes in Comp. Sci., vol. 538, Springer-Verlag, Berlin, 1991. MR 1226025 (94e:90004)
- [6]
- C. E. Lemke, Bimatrix equilibrium points and mathematical programming, Management Sci. 11 (1965), 681-689. MR 0189823 (32:7243)
- [7]
- O. L. Mangasarian, Solution of symmetric linear complementarity problems by iterative methods, J. Optim. Theory Appl. 22 (1977), 465-485. MR 0458831 (56:17031)
- [8]
- K. G. Murty, Linear complementarity, linear and nonlinear programming, Helderman-Verlag, Berlin, 1988. MR 949214 (89h:90240)
- [9]
- J. S. Pang, On the convergence of a basic iterative method for the implicit complementarity problem, J. Optim. Theory Appl. 37 (1982), 149-162. MR 663519 (83g:90145)
- [10]
- S. M. Robinson, Generalized equations and their solution. Part I: Basic theory, Math. Programming Study 10 (1979), 128-141. MR 527064 (80e:90101)
- [11]
- P. Du Val, The unloading problem for plane curves, Amer. J. Math. 62 (1940), 307-311. MR 0001603 (1:266d)
Additional Information:
Reviewer(s):
M. C.
Ferris
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
169-175.
DOI:
10.1090/S0273-0979-1993-00344-6
PII:
S 0273-0979(1993)00344-6
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