A Hybrid Genetic-Continuation Algorithm for Solving Constrained Optimization Problems
published by Damascus University
in 2001
in Mathematics
and research's language is
العربية
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Abstract in English
we constructed a continuation predictor- corrector algorithm that
solves constrained optimization problems. Smooth penalty functions combined
with numerical continuation, along with the use of the expanded Lagrangian
system, were essential components of the algorithm. An improvement of this
algorithm was published, which dealt with the linear algebra in the
corrector part of the algorithm.
References used
Q. Al-Hassan, A variable order-variable stepsize continuation method for solving constrained optimization problems, Mu'tah J. for Research and Studies, vol. ٧, no.١, December ١٩٩٢, ppI٧٥-١٩٥
Q. Al-Hassan, On the solution of nonlinear programming problems with equality constraints via continuation using special LU factorization, J.of Info. And Opt. Sciences, vol. ١٤(١٩٩٣), no.٢, ppI٨٩-٢٠١
Q. Al-Hassan, On the solution of nonlinear programming problems via continuation using special LU factorization, J. of Info.And Opt.Sciences, vol.١٥ (١٩٩٤), no.٣, pp ٣٧٣-٣٨٦