Book Review
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MathSciNet review:
1568002
Full text of review:
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This review is available free of charge.
Book Information:
Author:
J.~S. Pang R.~W. Cottle, 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.
Richard W. Cottle, Jong-Shi Pang, and Richard E. Stone, The linear complementarity problem, Computer Science and Scientific Computing, Academic Press, Inc., Boston, MA, 1992. MR 1150683
[2] S. Dirkse, M. Ferris, P. Preckel, and T. Rutherford, The GAMS callable program library for variational and complementarity solvers, manuscript, April 1992.
B. Curtis Eaves, The linear complementarity problem, Management Sci. 17 (1971), 612–634. MR 282663, DOI 10.1287/mnsc.17.9.612
B. C. Eaves, On the basic theorem of complementarity, Math. Programming 1 (1971), no. 1, 68–75. MR 287901, DOI 10.1007/BF01584073
M. Kojima, N. Megiddo, T. Noma, and A. Yoshise, A unified approach to interior point algorithms for linear complementarity problems, Lecture Notes in Computer Science, vol. 538, Springer-Verlag, Berlin, 1991. MR 1226025, DOI 10.1007/3-540-54509-3
C. E. Lemke, Bimatrix equilibrium points and mathematical programming, Management Sci. 11 (1964/65), 681–689. MR 189823, DOI 10.1287/mnsc.11.7.681
O. L. Mangasarian, Solution of symmetric linear complementarity problems by iterative methods, J. Optim. Theory Appl. 22 (1977), no. 4, 465–485. MR 458831, DOI 10.1007/BF01268170
K. G. Murty, Linear complementarity, linear and nonlinear programming, Sigma Series in Applied Mathematics, vol. 3, Heldermann Verlag, Berlin, 1988. MR 949214
J. S. Pang, On the convergence of a basic iterative method for the implicit complementarity problem, J. Optim. Theory Appl. 37 (1982), no. 2, 149–162. MR 663519, DOI 10.1007/BF00934765
Stephen M. Robinson, Generalized equations and their solutions. I. Basic theory, Math. Programming Stud. 10 (1979), 128–141. Point-to-set maps and mathematical programming. MR 527064, DOI 10.1007/bfb0120850
Patrick Du Val, The unloading problem for plane curves, Amer. J. Math. 62 (1940), 307–311. MR 1603, DOI 10.2307/2371454
- [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)
Review Information:
Reviewer:
M. C. Ferris
Journal:
Bull. Amer. Math. Soc.
28 (1993), 169-175
DOI:
https://doi.org/10.1090/S0273-0979-1993-00344-6
