Abstract
This paper deals with the existence of the solution for linear complementary problem. The uniqueness theorem of the solution for linear complementary problem is proved. Two examples are given. They show that “M is positive semidefinite” neither sufficient nor necessary condition for the existence to the solution of linear complementary problem.
Similar content being viewed by others
References
Zhu Changming and Jin Yongjie, A finite element mathematical programming method for elastoplastic problems based on the principle of virtual work,Applied Mathematics and Mechanics,14, 7 (1993), 635–642.
M.S. Bazaraa and C. M. Shetty,Nonlinear Programming, Theory and Algorithms, New York, John Wiley & Sons, Inc., (1979), 437–453.
G. V. Reklaitis, et al.,Engineering Optimization, Methods and Applications, New York, John Wiley & Sons, Inc., (1983), 486–494.
Kou Shushun,Convex Analysis and Convex Quadratic Programming, Tianjin University Press (1994), 157–173. (in Chinese)
Author information
Authors and Affiliations
Additional information
Communicated by Pan Lizhou
Rights and permissions
About this article
Cite this article
Shushun, K. The existence of the solution for linear complementary problem. Appl Math Mech 16, 683–685 (1995). https://doi.org/10.1007/BF02455253
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02455253