Global convergence of a nonlinear programming method using convex approximations

Numerical Algorithms

Volumn 27, Issue 3, 2001, Pages 265-289

  Zillober, Christian ^a  

^a UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

Convex approximations; Global convergence; Method of moving asymptotes; Sequential convex programming

Indexed keywords

EID: 0035616225     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011841821203     Document Type: Article

References (11)

1. I. Bongartz, A.R. Conn, N.I.M. Gould and P.L. Toint, CUTE: Constrained and unconstrained testing environment, ACM Trans. Math. Software 21 (1995) 123-160.
2. C. Fleury, First and second order convex approximation strategies in structural optimization, Structural Optimization 1 (1989) 3-10.
3. C. Fleury, CONLIN: An efficient dual optimizer based on convex approximation concepts, Structural Optimization 1 (1989) 81-89.
4. K. Schittkowski, NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems, Ann. Oper. Res. 5 (1985) 485-500.
5. K. Schittkowski, Ch. Zillober and R. Zotemantel, Numerical comparison of nonlinear programming algorithms for structural optimization, Structural Optimization 7 (1994) 1-19.
6. K. S vanberg, The Method of Moving Asymptotes - a new method for structural optimization, Internat. J. Numer. Methods Engrg. 24 (1987) 359-373.
7. K. Svanberg, A globally convergent version of MMA without linesearch, in: Proc. of the 1st World Congress of Structural and Multidisciplinary Optimization, eds. N. Olhoff and G.I.N. Rozvany (Pergamon, Oxford, 1995) pp. 9-16.
8. Ch. Zillober, Eine global konvergente Methode zur Lösung von Problemen aus der Strukturoptimierung, Ph.D. thesis, Technische Universität München (1992).
9. Ch. Zillober, A globally convergent version of the method of moving asymptotes, Structural Optimization 6 (1993) 166-174.
10. Ch. Zillober, A combined convex approximation - interior point approach for large scale nonlinear programming, Technical Report TR00-1, Informatik, Universität Bayreuth, WWW: www.uni-bayreuth.de/departments/math/∼czillober/papers/tr00-1.ps (2000) submitted to Optimization and Engineering.
11. Ch. Zillober, Software manual for SCPIP 2.2. Technical Report TR01-2, Informatik, Universität Bayreuth, WWW: www.uni-bayreuth.de/departments/math/∼czillober/ papers/tr01-2.ps (2001).