A Solution Method for Engineering Equilibrium Mathematics Modeling under Mild Conditions

Guo Cheng Li

doi:10.4028/www.scientific.net/AMR.225-226.1279

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 225-226A Solution Method for Engineering Equilibrium...

A Solution Method for Engineering Equilibrium Mathematics Modeling under Mild Conditions

Abstract:

In this paper, a solution for engineering equilibrium mathematics modeling (EEMM) is considered. To obtain a solution of EEMM, we present a new type alternating direction solution method, and then its convergence is also shown under mild conditions. The results obtained in this paper can be taken as an extension of the existing method for EEMM.

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Periodical:

Advanced Materials Research (Volumes 225-226)

Pages:

1279-1283

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.225-226.1279

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Online since:

April 2011

Authors:

Guo Cheng Li

Keywords:

Algorithm (GA), Convergence, Engineering Equilibrium Mathematics Modeling

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References

[1] Facchinei F. and Pang J.S. Finite-Dimensional variational Inequalities and complementarity problems [M]. Springer, New York, (2003).

DOI: 10.1007/b97544

Google Scholar

[2] Ferris M.C. and Pang J.S., Engineering and economic applications of complementarity problems, Society for industrial and applied mathematics, 1997, 39(4): 669-713.

Google Scholar

[3] Sun D. A class of iterative methods for solving nonlinear projection equations[J]. Optim. Theory Appl, 1996, 91: 123-140.

DOI: 10.1007/bf02192286

Google Scholar

[4] Solodov M V., Convergence rate analysis of iteractive algorithms for solving variational inequality problems [J]. Math Programming, 2003, 96: 513-528.

DOI: 10.1007/s10107-002-0369-z

Google Scholar

[5] Wang C W., A variational inequalities problem solving the projection algorithm[J]. Chongqing normal college journals. 2005, 22(1): 6-11.

Google Scholar

[6] Wang Y.J., Xiu N.H. and Wang C.Y., A new version of extragradient method for varitional inequality problems, Comput. Math. Appl., 2001, 42: 969-979.

DOI: 10.1016/s0898-1221(01)00213-9

Google Scholar

[7] Wang Y.J., Xiu N.H. and Wang C.Y., Unified framework of extragradient-type methods for pseudomonotone varitional inequalities, J. Optim. Theroy Appl., 2001, 111: 641-656.

DOI: 10.1023/a:1012606212823

Google Scholar

[8] Wang Y.J., Xiu N.H. and Zhang J.Z., Modified extragradient methods for varitional inequalities and verification of solution existence, J. Optim. Theroy Appl., 2003, 119: 167-183.

Google Scholar

[9] Zarantonello E.H., Projections on convex sets in Hilbert space and spectral theory, contributions to nonlinear functional analysis, New York: Academic Press, (1971).

DOI: 10.1016/b978-0-12-775850-3.50013-3

Google Scholar