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A class of generalized Newton iterative schemes

✍ Scribed by L.U. Uko

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
351 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

we study an N-step iterative scheme which generalises several Newton-type schemes that have appeared in the literature. We show that, under generalized Zabrejko-Nguen conditions, the iterative scheme converges whenever 1 5 N 5 00. This proves in a unified context the convergence of an infinite number of iterative schemes which include as special cases the classical Newton scheme, the classical chord scheme, and the generalized Newton scheme.

πŸ“œ SIMILAR VOLUMES

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In [1] a two-dimensional generalized Lotka-Volterra model was established. In this paper we analyze that model which (after scaling) contains five parameters. The generalized model includes explosive, conservative, and stable systems [-23]. The condition for supercritical Hopf bifurcation is establi