A new finitely convergent algorithm for systems of nonlinear inequalities

Applied Mathematics Letters

Volumn 20, Issue 4, 2007, Pages 405-411

  Jian, Jin Bao ^a   Zhang, Xue Lu ^a   Quan, Ran ^a  

^a GUANGXI UNIVERSITY   (China)

Author keywords

Finitely convergent algorithm; Generalized projection; Global and strong convergence; Method of strongly sub feasible direction; Systems of nonlinear inequalities

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FINITE ELEMENT METHOD; NUMBER THEORY; NUMERICAL ANALYSIS; PROBLEM SOLVING;

FINITE NUMBER; FINITELY CONVERGENT ALGORITHM; GENERALIZED PROJECTION; GLOBAL CONVERGENCE; NONLINEAR INEQUALITIES; PROJECTION TECHNIQUES;

NONLINEAR EQUATIONS;

EID: 33751249636     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2006.05.007     Document Type: Article

References (12)

1. Wei Z.L., and Wu L. A method for computing a feasible solution for systems of linear inequalities. J. Numer. Methods Comput. Appl. 1 (1992) 65-72
2. Lu X.M., and Wu F. A new algorithm for solving systems of linear inequalities. Acta Math. Appl. Sin. 18 3 (1995) 340-343
3. Jian J.B., and Liang Y.X. Two optimization algorithms for solving two linear systems. J. Guangxi Univ. 24 2 (1999) 108-111
4. Fukushma M. A finitely convergent algorithm for convex inequalities. IEEE Trans. Automat. Control AC-27 (1982) 1126-1127
5. Jian J.B., and Liang Y.M. Finitely convergent algorithm of generalized gradient projection for systems of nonlinear inequalities. Neural Parallel Sci. Comput. 12 (2004) 207-218
6. J.B. Jian, Researches on superlinearly and quadratically convergence algorithms for nonlinearly constrained optimization, Ph.D. Thesis, School of Xi'an Jiaotong University, Xi'an, China, 2000
7. Jian J.B., and Zhang K.C. Subfeasible direction method with strong convergence for inequality constrained optimization. J. Xi'an Jiaotong Univ. 33 8 (1999) 88-91
8. Chen X.B., and Kostreva M.M. Global convergence analysis of algorithm for finding feasible points in norm-relaxed MFD. JOTA 100 2 (1999) 287-309
9. Hock W., and Schittkowski K. Test Examples for Nonlinear Programming Code Lecture Notes in Economics and Mathematical Systems vol. 187 (1981), Springer-Verlag, Berlin, Heidelberg, New York
10. Schittkowski K. More Test Examples for Nonlinear Programming Codes (1987), Springer-Verlag
11. Vardi A.V.I. A trust region algorithm for equality constrained minimization: Convergence properties and implementation. SIAM J. Number. Anal. 22 3 (1985) 575-591
12. E.D. Dolan, J.J. More, T.S. Munson, Benchmarking optimization software with COPS3.0, 2004