𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Newton-type methods for solving nonlinear equations on quadratic matrix groups

✍ Scribed by L. Lopez; C. Mastroserio; T. Politi


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
234 KB
Volume
115
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we consider numerical methods for solving nonlinear equations on matrix Lie groups. Recently Owren and Welfert (


πŸ“œ SIMILAR VOLUMES


On a class of Newton-like methods for so
✍ Ioannis K. Argyros πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 490 KB

We provide a semilocal convergence analysis for a certain class of Newton-like methods considered also in [I.K. Argyros, A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space,

Improved Newton’s method with exact line
✍ Jian-hui Long; Xi-yan Hu; Lei Zhang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 478 KB

In this paper, we study the matrix equation AX 2 + B X + C = 0, where A, B and C are square matrices. We give two improved algorithms which are better than Newton's method with exact line searches to calculate the solution. Some numerical examples are reported to illustrate our algorithms.

Some higher-order modifications of Newto
✍ YoonMee Ham; Changbum Chun; Sang-Gu Lee πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 453 KB

In this paper we consider constructing some higher-order modifications of Newton's method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula, and per iteration t