ALIBABA
swMATH ID:  28 
Software Authors:  Esping, Björn J.D. 
Description:  The ALIBABA nonlinear optimization package. The purpose of this investigation is to find a fast and stable optimization algorithm specially suited for nonlinear structural optimization problems. The original problem is approximated by a series of subproblems and the solution is therefore iterative. Each subproblem is a first order approximation of the original problem. First, Kristers LU method is presented and it is shown how his algorithm can be improved by using a onestep line search algorithm and/or the cutting plane method. Secondly, a simple algorithm for optimization with discrete design variables is presented. The method is based on the continuous approximations used above. The convergence properties are graphically illustrated by a number of simple twodimensional examples. The algorithms are as well applied on a few small structural optimization problems. The algorithms are included in the ALIBABA nonlinear optimization package which is used by the OASIS structural optimization system. 
Homepage:  http://www.sciencedirect.com/science/article/pii/0045794986902907 
Keywords:  dual problem; DEGEDEWE method; series of subproblems; first order approximation; Kristers LU method; onestep line search algorithm; cutting plane method; discrete design variables; convergence properties; ALIBABA nonlinear optimization package; OASIS structural optimization system 
Related Software:  
Cited in:  1 Publication 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

The ALIBABA nonlinear optimization package. Zbl 0594.73096 Esping, Björn J. D. 
1986

Cited by 1 Author
1  Esping, Björn J. D. 
Cited in 1 Serial
1  Computers and Structures 
Cited in 3 Fields
1  Calculus of variations and optimal control; optimization (49XX) 
1  Numerical analysis (65XX) 
1  Mechanics of deformable solids (74XX) 