A Note on the McCormick Second-Order Constraint Qualification

Autor: FAZZIO, N. S., NCHEZ, M. D. SÁ, SCHUVERDT, M. L.

Publikováno v: Trends in Computational and Applied Mathematics, Volume: 23, Issue: 4, Pages: 769-781, Published: 14 NOV 2022

The study of optimality conditions and constraint qualification is a key topic in nonlinear optimization. In this work, we present a reformulation of the well-known second-order constraint qualification described by McCormick in [17]. This reformulat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1473a3d665736ce210582d2d0a09dfa9
https://doi.org/10.5540/tcam.2022.023.04.00769

On scaled stopping criteria for a safeguarded augmented Lagrangian method with theoretical guarantees.

Autor: Andreani, R., Haeser, G., Schuverdt, M. L., Secchin, L. D., Silva, P. J. S.

Publikováno v: Mathematical Programming Computation; Mar2022, Vol. 14 Issue 1, p121-146, 26p

A second-order convergence augmented Lagrangian method using non-quadratic penalty functions.

Autor: Sánchez, M. D., Schuverdt, M. L.

Publikováno v: OPSEARCH; Jun2019, Vol. 56 Issue 2, p390-408, 19p

Two derivative-free methods for solving underdetermined nonlinear systems of equations

Autor: Echebest,N., Schuverdt,M. L., Vignau,R. P.

Publikováno v: Computational & Applied Mathematics, Volume: 30, Issue: 1, Pages: 217-245, Published: 2011
Computational & Applied Mathematics v.30 n.1 2011
Computational & Applied Mathematics
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC

In this paper, two different approaches to solve underdetermined nonlinear system of equations are proposed. In one of them, the derivative-free method defined by La Cruz, Martínez and Raydan for solving square nonlinear systems is modified and exte

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::58e1546a69dd4e3ebe038eedab469742
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000100011&lng=en&tlng=en

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