Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
|
   
Available in electronic format
Available in print format
Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Retrieve article in: PDF

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:

Bibliography

[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




AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia