期刊论文详细信息
Algorithms | |
Expanding the Applicability of a Third Order Newton-Type Method Free of Bilinear Operators | |
Sergio Amat1  Sonia Busquier1  Concepción Bermz1  Ángel Alberto Magreñán2  | |
[1] Departamento de Matemática Aplicada y Estadística, Universidad de Cartagena, Cartagena 21833, Spain; E-Mails:;Escuela de Ingeniería, Universidad Internacional de La Rioja, C/Gran Vía 41, Logroño (La Rioja) 26005, Spain | |
关键词: Newton type methods; third order; semilocal convergence; centered hypotheses; divided differences; | |
DOI : 10.3390/a8030669 | |
来源: mdpi | |
【 摘 要 】
This paper is devoted to the semilocal convergence, using centered hypotheses, of a third order Newton-type method in a Banach space setting. The method is free of bilinear operators and then interesting for the solution of systems of equations. Without imposing any type of Fréchet differentiability on the operator, a variant using divided differences is also analyzed. A variant of the method using only divided differences is also presented.
【 授权许可】
CC BY
© 2015 by the authors; licensee MDPI, Basel, Switzerland.
【 预 览 】
Files | Size | Format | View |
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RO202003190007541ZK.pdf | 211KB | download |