Semismooth Newton method for projection equations [resumo] (2025)
- Autor:
- Autor USP: HAESER, GABRIEL - IME
- Unidade: IME
- Subjects: OTIMIZAÇÃO MATEMÁTICA; APRENDIZADO COMPUTACIONAL; ALGORITMOS; PROGRAMAÇÃO NÃO LINEAR; PROGRAMAÇÃO QUADRÁTICA
- Keywords: Experimentos computacionais; Método de Newton
- Language: Inglês
- Abstract: We study the global and finite convergence of the semi-smooth Newton method for solving a piecewise linear system that arises in cone-constrained quadratic programming problems and absolute value equations. We present some computational experiments designed to illustrate the behavior of the semismooth Newton method on sparse large-scale problems and the numerical solution of a discretization of the Boussinesq PDE modeling a two-dimensional flow in a homogeneous phreatic aquifer. The ideas are extended to a general projection equation in finite dimensional spaces which are applied to semidefinite least squares, in particular the nearest correlation matrix problem. This is a joint work with N.F. Armijo and Y. Bello-Cruz.
- Imprenta:
- Publisher: Fundação Getulio Vargas FGV
- Publisher place: Rio de Janeiro
- Date published: 2025
- Source:
- Título: Book of Abstracts
- Volume/Número/Paginação/Ano: p. 5, 2025
- Conference titles: Carioca Workshop on Optimization and Applications - CariOPT
-
ABNT
HAESER, Gabriel. Semismooth Newton method for projection equations [resumo]. 2025, Anais.. Rio de Janeiro: Fundação Getulio Vargas FGV, 2025. p. 5. Disponível em: https://drive.google.com/file/d/1IMnaoGpl1jeiG5dhzmGoqnTIaQZBCRYo/view?usp=sharing. Acesso em: 09 fev. 2026. -
APA
Haeser, G. (2025). Semismooth Newton method for projection equations [resumo]. In Book of Abstracts (p. 5). Rio de Janeiro: Fundação Getulio Vargas FGV. Recuperado de https://drive.google.com/file/d/1IMnaoGpl1jeiG5dhzmGoqnTIaQZBCRYo/view?usp=sharing -
NLM
Haeser G. Semismooth Newton method for projection equations [resumo] [Internet]. Book of Abstracts. 2025 ; 5.[citado 2026 fev. 09 ] Available from: https://drive.google.com/file/d/1IMnaoGpl1jeiG5dhzmGoqnTIaQZBCRYo/view?usp=sharing -
Vancouver
Haeser G. Semismooth Newton method for projection equations [resumo] [Internet]. Book of Abstracts. 2025 ; 5.[citado 2026 fev. 09 ] Available from: https://drive.google.com/file/d/1IMnaoGpl1jeiG5dhzmGoqnTIaQZBCRYo/view?usp=sharing - Posto constante para cones de segunda-ordem
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