V. Y. Pan. On approximating complex polynomial zeros: modified quadtree (Weyl's) construction and improved Newton's iteration. Rapport de Recherche 2894, INRIA, Sophia-Antipolis, France, Mai 1996. Home/Search Document Details and Download
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Weyl's Complex Polynomial Root-Finding Method: a.. - Fanton, Gleyse.. (Correct)
....is especially natural. We present in this paper the results of our implementations on the O2000 and T3E computers, focusing on the influence of data location schemes. 1. Weyl s Method Weyl s method [7] has been known for quite some time, although its study in parallel computing is more recent [6, 5, 1]. It elegantly solves one of the few basic problems that arise in all domains : polynomial roots approximation [3, 2] In this chapter, we present Weyl s algorithm in a general case. 1.1. Theoretical Problem Weyl s algorithm is a geometrical construction that approximates the solutions of the ....
V. Y. Pan. On approximating complex polynomial zeros: modified quadtree (Weyl's) construction and improved Newton's iteration. Rapport de Recherche 2894, INRIA, Sophia-Antipolis, France, Mai 1996.
Approximating Complex Polynomial Zeros: Modified Weyl's Quadtree.. - Pan (1996) (1 citation) Self-citation (Pan) (Correct)
....section 4, we could have avoided using the results cited in (b) Gamma(d) at the price of the increase of our cost estimates by at most factor log log n. Acknowledgements The present paper was submitted for publication in 1994 (cf. its proceedings version [P94] and turned into a research report [P96a] in 1996 but very substantially revised in 1997 along the line suggested by the referee. Akimou Sadikou and Gabriel Dos Reis made several useful comments on the original draft of this paper. Frank Uhlig sent me reprint of [U97] Olivier Devillers pointed me out the reference [Gra72] 2 ....
V. Y. Pan, Approximating Complex Polynomial Zeros: Modified Quadtree (Wey's) Construction and Improved Newton's Iteration, Research Report 2894, INRIA Sophia-Antipolis, France, 1996.
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