Global optimization: Fractal approach and non-redundant parallelism

Journal of Global Optimization

Volumn 27, Issue 1, 2003, Pages 25-50

  Strongin, Roman G ^a   Sergeyev, Yaroslav D ^a,b  

^a LOBACHEVSKY STATE UNIVERSITY OF NIZHNY NOVGOROD   (Russian Federation)

^b UNIVERSITY OF CALABRIA   (Italy)

Author keywords

Fractal approach; Global optimization; Parallel computations

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; CONSTRAINT THEORY; FRACTALS; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; PARALLEL PROCESSING SYSTEMS; THEOREM PROVING;

FRACTAL APPROACH; INDEX SCHEME; NON-REDUNDANT PARALLELISM;

GLOBAL OPTIMIZATION;

EID: 0042767020     PISSN: 09255001     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024652720089     Document Type: Article

References (11)

1. Horst, R. and Pardalos, P.M. (eds.) (1995) Handbook on Global Optimization, Kluwer Academic Publishers, Dordrecht.
2. Kelly, C.T. (1999), Iterative Methods for Optimization, SIAM, Philadelphia.
3. Pintér, J. (1996), Global Optimization in Action (Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications), Kluwer Academic Publishers, Dordrecht.
4. Evtushenko, Yu.G. (1985), Numerical Optimization Techniques, Translation Series in Mathematics and Engineering, Optimization Software Inc. New York.
5. Fiacco, A.V. and McCormic, G.P. (1990), Nonlinear Programming: Sequential Constrained Minimization Techniques, SIAM, Philadelphia.
6. Bertsekas, D.P. (1996), Constrained Optimization and Lagrange Multiplier Methods, Athena Scientific, Belmont.
7. Strongin, R.G. and Sergeyev, Ya.D. (2000), Global Optimization with Non-Convex Constraints: Sequential and Parallel Algorithms; Kluwer Academic Publishers, Dordrecht.
8. Sagan, H. (1994), Space-Filling Curves, Springer-Verlag, New York.
9. Bertsekas, D.P., and Tsitsiklis, J.N. (1989), Parallel and Distributed Computation: Numerical Methods, Prentice-Hall, Englewood Cliffs.
10. Migdalas, A., Pardalos, P.M., and Storøy, S. (Eds.) (1997), Parallel Computing in Optimization, Kluwer Academic Publishers, Dordrecht.
11. Roosta, S.H. (2000), Parallel Processing and Parallel Algorithms: Theory and Computation, Springer, New York.