Uma discussão sobre o método de newton

Resumo

The Newton method is used in almost all areas of applied mathematics and is part of the program of the discipline of calculation number seen by the students of the courses in the area of exact. We an idea of how the method has emerged and how to consolidate over nearly four centuries of discovery. We talk a just about two types of convergence: the linear and quadratically. In the last part we have made some examples and finally demonstrate a theorem that says that the method converges quadraticly provided the starting point of the sequence of Newton is taken in a neighborhood of the appropriate solution.

Descrição

Palavras-chave

Convergência, Sequência, Taxa de convergência, Convergence, Sequence, Convergence rate

Citação

MOREIRA, Fernando Ricardo; SANTOS, Rodrigo Couto; GOMES FILHO, Raimundo Rodrigues; PAULINO, Helder Barbosa. Uma discussão sobre o método de newton. Enciclopédia Biosfera, Goiânia, v. 5, n.8, 2009.