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Failure of convergence of the Newton-Weierstrass iterative method for simultaneous rootfinding of generalized polynomials

✍ Scribed by N. Kyurkchiev; A. Iliev

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
321 KB
Volume
47
Category
Article
ISSN
0898-1221

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✦ Synopsis

Many problems in mathematics and other natural sciences and techniques reduce themselves to determining all roots of generalized polynomial equations. We consider in this paper the situations in which the critical initial approximations {z:}, i = 1,. ,n, fail, when the iterative methods of Newton-Weierstrsss type are applied.

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