A weaker affine covariant Newton-Mysovskikh theorem for solving equations

• Autorzy: Ioannis K. Argyros
• Języki publikacji: EN

Abstrakty

EN

The Newton-Mysovskikh theorem provides sufficient conditions for the semilocal convergence of Newton's method to a locally unique solution of an equation in a Banach space setting. It turns out that under weaker hypotheses and a more precise error analysis than before, weaker sufficient conditions can be obtained for the local as well as semilocal convergence of Newton's method. Error bounds on the distances involved as well as a larger radius of convergence are obtained. Some numerical examples are also provided.

Kategorie tematyczne

• 49M15: Newton-type methods
• 65G99: None of the above, but in this section
• 65J15: Equations with nonlinear operators (do not use )
• 65H10: Systems of equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2006
• Tom: 33
• Numer: 3-4
• Strony: 355-363

Daty

wydano

2006

Twórcy

autor

Ioannis K. Argyros

• Department of Mathematical Sciences, Cameron University, Lawton, OK 73505, U.S.A.

Identyfikatory

DOI

10.4064/am33-3-9