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pro vyhledávání: '"Leonardo D. Secchin"'
Publikováno v:
Numerical Algorithms. 90:851-877
The optimization literature is vast in papers dealing with improvements on the global convergence of augmented Lagrangian schemes. Usually, the results are based on weak constraint qualifications, or, more recently, on sequential optimality condition
Publikováno v:
IMA Journal of Numerical Analysis. 42:1735-1765
Augmented Lagrangian (AL) algorithms are very popular and successful methods for solving constrained optimization problems. Recently, global convergence analysis of these methods has been dramatically improved by using the notion of sequential optima
Publikováno v:
Numerical Algorithms. 90:879-880
Publikováno v:
Numerical Algorithms. 81:915-946
Bilevel problems model instances with a hierarchical structure. Aiming at an efficient solution of a constrained multiobjective problem according with some pre-defined criterion, we reformulate this semivectorial bilevel optimization problem as a cla
Publikováno v:
Optimization Letters. 13:193-199
We consider the double row layout problem, which is how to allocate a given number of machines at locations on either side of a corridor so that the total cost to transport materials among these machines is minimized. We propose modifications to a mi
Publikováno v:
ESAIM: Control, Optimisation and Calculus of Variations. 28:32
In this paper, we focus on quasi-Newton methods to solve constrained generalized equations. As is well-known, this problem was firstly studied by Robinson and Josephy in the 70’s. Since then, it has been extensively studied by many other researcher
Publikováno v:
SIAM Journal on Optimization. 28:2574-2600
Mathematical programs with complementarity constraints (MPCCs) are difficult optimization problems that do not satisfy the majority of the usual constraint qualifications (CQs) for standard nonline...
In the present paper, we prove that the augmented Lagrangian method converges to KKT pointsunder the quasinormality constraint qualification, which is associated with the external penalty theory. An interesting consequence is that the Lagrange multip
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::019c32a19eb18a2c4fca1a15dfbf7c3a
https://epubs.siam.org/doi/10.1137/17M1147330
https://epubs.siam.org/doi/10.1137/17M1147330
Autor:
Roberto Andreani, Leonardo D. Secchin
Publikováno v:
Proceeding Series of the Brazilian Society of Computational and Applied Mathematics.
Many algorithms that ensure second-order necessary optimality conditions were developed in the literature. To the best of our knownledge, none of them guarantee Strong Second-Order Necessary Condition (SSONC). Gould and Toint [5] showed that we do no