✦ LIBER ✦

Improbability of nonconvergent chaos in Newton's method

✍ Scribed by John B Urenko

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 322 KB
Volume: 117
Category: Article
ISSN: 0022-247X
DOI: 10.1016/0022-247x(86)90246-5

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Improbability of nonconvergence in a cub

Improbability of nonconvergence in a cubic root-finding method

✍ Mike Hurley 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 247 KB

An improvement of convergence in Newton'

An improvement of convergence in Newton's method

✍ S. Lopez 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 393 KB

Newton's method is based on a linear approximation of the function in a neighborhood of a solution point. It can be demonstrated that the error in the current iteration depends on the norm of second derivative. Instead using a higher-order approximation, the second derivative is used here to transfo

Comparison of modified newton's methods

✍ R.S.H. Mah; T.D. Lin 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 310 KB

An iterative regularization of Newton's

An iterative regularization of Newton's method

✍ F.P. Vasil'ev; M.D. Yachimovich 📂 Article 📅 1981 🏛 Elsevier Science ⚖ 304 KB

On the convergence of newton's method

✍ Joel Friedman 📂 Article 📅 1989 🏛 Elsevier Science 🌐 English ⚖ 803 KB

Some new variants of Newton's method

✍ A.Y Özban 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 307 KB

Some new variants of Newton's method based on harmonic mean and midpoint integration rule have been developed and their convergence properties have been discussed. The order of convergence of the proposed methods are three. In addition to numerical tests verifying the theory, a comparison of the res