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otm-cos360's Introduction

OTM-COS360

Trabalho da disciplina Otimização (COS360) - UFRJ

2016/P2: Terças e quintas de 15:00-17:00

Professor: Luidi Simonetti

Alunos: Guilherme Thurler e Pedro Boueke

Tarefa


Funções

  1. f(x1, x2) = ln(1 + ln(x1)^2 + ln(x2)^2)
  2. f(x1, x2) = ln(1 + x1^2 + (x1^2 - x2)^2)

Tarefa 1 - Faça um pequeno estudo para um melhor entendimento do comportamento de suas funções.

f(x1, x2) = ln(1 + ln(x1)^2 + ln(x2)^2)

(2*ln(x1)) / x1*(1 + ln(x1)^2 + ln(x2)^2) em x1
(2*ln(x2)) / x2*(1 + ln(x2)^2 + ln(x1)^2) em x2
  • Mínimo: (1, 1)

f(x1, x2) = ln(1 + x1^2 + (x1^2 - x2)^2)

(4*x1*(x1^2 + x2) + 2*x1) / ((x1^2 + x2)^2 + x1^2 + 1) em x1
(2*(x2 + x1^2)) / ((x2 + x1^2)^2 + x1^2 + 1) em x2
  • Mínimo: (0, 0)

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