Locating and computing in parallel all the simple roots of special functions using PVM

An algorithm is proposed for locating and computing in parallel and with certainty all the simple roots of any twice continuously differentiable function in any specific interval. To compute with certainty all the roots, the proposed method is heavily based on the knowledge of the total number of ro...

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Vydáno v:	Journal of computational and applied mathematics Ročník 133; číslo 1; s. 545 - 554
Hlavní autoři:	Plagianakos, V.P., Nousis, N.K., Vrahatis, M.N.
Médium:	Journal Article Konferenční příspěvek
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier B.V 01.08.2001 Elsevier
Témata:	Algorithmics. Computability. Computer arithmetics Applied sciences Bessel functions Bisection method Computation of special functions Computer science; control theory; systems Computing simple roots Construction of tables of special functions Elbert's conjecture Exact sciences and technology Kronecker–Picard theory Mathematical analysis Mathematics Nonlinear algebraic and transcendental equations Numerical analysis Numerical analysis. Scientific computation Numerical approximation Parallel and distributed algorithms Parallel virtual machine Sciences and techniques of general use Special functions Theoretical computing Topological degree theory Zero isolation Construction of tables of special functions 33C10 Elbert's conjecture Topological degree theory 65Y10 65Y05 Bessel functions 65D20 Computing simple roots 47H11 55M25 Zero isolation Kronecker–Picard theory 68M10 Bisection method Special functions 68Q22 65H05 Computation of special functions Parallel and distributed algorithms Parallel virtual machine Bessel function Parallel algorithm Kronecter Picard theory Virtual memory Elbert conjecture Distributed algorithm Parallel computation Special function
ISSN:	0377-0427, 1879-1778
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