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Banca de DEFESA: CAIO OLIVEIRA DA SILVA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : CAIO OLIVEIRA DA SILVA
DATE: 13/02/2023
TIME: 09:00
LOCAL: https://conferenciaweb.rnp.br/webconf/yuri-27
TITLE:

Riemannian Optimization and the Hartree–Fock Method


PAGES: 150
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUBÁREA: Matemática Aplicada
SPECIALTY: Física Matemática
SUMMARY:
In the present work we studied a subfield from Applied Mathematics called Riemannian Optimization. The main goal of this subfield is to generalize algorithms, theorems and tools from Mathematical Optimization to the case in which the optimization problem is defined on a Riemannian manifold.
 
As a study case, we implemented some of the main algorithms described in the literature (Gradient Descent, Newton–Raphson Method and Conjugate Gradient) to solve an optimization problem known as Hartree–Fock Method. This method is extremely important in the field of Computational Quantum Chemistry and it is a good study case because it is a problem somewhat hard to solve and, as a consequence of this, it requires many tools from Riemannian Optimization. Besides, it is also a good example to see how these algorithms perform in practice.
 

COMMITTEE MEMBERS:
Presidente - Interno ao Programa - 312.257.708-90 - YURI ALEXANDRE AOTO - NENHUMA
Membro Titular - Examinador(a) Interno ao Programa - 3078509 - RAFAEL SANTOS DE OLIVEIRA ALVES
Membro Titular - Examinador(a) Externo à Instituição - GERD BRUNO DA ROCHA
Membro Suplente - Examinador(a) Externo ao Programa - 2604830 - MARCIO FABIANO DA SILVA
Membro Suplente - Examinador(a) Externo à Instituição - CARLOS HENRIQUE GROSSI FERREIRA
Notícia cadastrada em: 12/01/2023 01:11
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