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-\expandafter\ifx\csname url\endcsname\relax
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-\expandafter\ifx\csname href\endcsname\relax
- \def\href#1#2{#2} \def\path#1{#1}\fi
-
-\bibitem{Weierstrass03}
-K.~Weierstrass, Neuer beweis des satzes, dass jede ganze rationale function
- einer veranderlichen dagestellt werden kann als ein product aus linearen
- functionen derselben veranderlichen, Ges. Werke 3 (1903) 251--269.
-
-\bibitem{Ilie50}
-L.~Ilieff, On the approximations of newton, Annual Sofia Univ~(46) (1950)
- 167--171.
-\newblock \href {http://dx.doi.org/10.1016/0003-4916(63)90068-X}
- {\path{doi:10.1016/0003-4916(63)90068-X}}.
-
-\bibitem{Docev62}
-K.~Docev, An alternative method of newton for simultaneous calculation of all
- the roots of a given algebraic equation, Phys. Math. J~(5) (1962) 136--139.
-
-\bibitem{Durand60}
-E.~Durand, Solution numerique des equations algebriques, vol. 1, equations du
- type f(x)=0, racines d'une polynome Vol.1.
-
-\bibitem{Kerner66}
-I.~Kerner, Ein gesamtschritteverfahren zur berechnung der nullstellen von
- polynomen~(8) (1966) 290--294.
-
-\bibitem{Borch-Supan63}
-W.~Borch-Supan, A posteriori error for the zeros of polynomials~(5) (1963)
- 380--398.
-
-\bibitem{Ehrlich67}
-L.~Ehrlich, A modified newton method for polynomials, Comm. Ass. Comput.
- Mach.~(10) (1967) 107--108.
-
-\bibitem{Aberth73}
-O.~Aberth, Iteration methods for finding all zeros of a polynomial
- simultaneously, Mathematics of Computation 27~(122) (1973) 339--344.
-\newblock \href {http://dx.doi.org/10.1016/0003-4916(63)90068-X}
- {\path{doi:10.1016/0003-4916(63)90068-X}}.
-
-\bibitem{Loizon83}
-G.~Loizon, Higher-order iteration functions for simultaneously approximating
- polynomial zeros, Intern. J. Computer Math~(14) (1983) 45--58.
-
-\bibitem{Freeman89}
-T.~Freeman, Calculating polynomial zeros on a local memory parallel computer,
- Parallel Computing~(12) (1989) 351--358.
-
-\bibitem{Freemanall90}
-T.~Freeman, R.~Brankin, Asynchronous polynomial zero-finding algorithms,
- Parallel Computing~(17) (1990) 673--681.
-
-\bibitem{Raphaelall01}
-R.~Couturier, F.~Spetiri, Extraction de racines dans des polynômes creux de
- degrées élevés.rsrcp (réseaux et systèmes répartis, calculateurs
- parallèles), Algorithmes itératifs paralléles et distribués 1~(13) (1990)
- 67--81.
-
-\bibitem{CUDA10}
-Compute Unified Device Architecture Programming Guide Version 3.0.
-
-\bibitem{Kahinall14}
-K.~Ghidouche, R.~Couturie, A.~Sider, parallel implementation of the
- durand-kerner algorithm for polynomial root-finding on gpu, IEEE. Conf. on
- advanced Networking, Distributed Systems and Applications (2014) 53--57.
-
-\bibitem{Bini96}
-D.~Bini, Numerical computation of polynomial zeros by means of aberth s method,
- Numerical Algorithms 13~(4) (1996) 179--200.
-
-\bibitem{Ostrowski41}
-A.~Ostrowski, On a theorem by j.l. walsh concerning the moduli of roots of
- algebraic equations,bull. a.m.s., Algorithmes itératifs paralléles et
- distribués 1~(47) (1941) 742--746.
-
-\bibitem{Karimall98}
-K.~Rhofir, F.~Spies, J.-C. Miellou, Perfectionnements de la méthode asynchrone
- de durand-kerner pour les polynômes complexes, Calculateurs Parallèles
- 10~(4) (1998) 449--458.
-
-\bibitem{Mirankar68}
-W.~Mirankar, Parallel methods for approximating the roots of a function, IBM
- Res Dev 30 (1968) 297--301.
-
-\bibitem{Mirankar71}
-W.~Mirankar, A survey of parallelism in numerical analysis, SIAM Rev (1971)
- 524--547.
-
-\bibitem{Schedler72}
-G.~Schedler, Parallel iteration methods in complexity of computer
- communications, Commun ACM (1967) 286--290.
-
-\bibitem{Winogard72}
-S.~Winogard, Parallel iteration methods in complexity of computer
- communications, Plenum, New York.
-
-\bibitem{Benall68}
-M.~Ben-Or, E.~Feig, D.~Kozzen, P.~Tiwary, A fast parallel algorithm for
- determining all roots of a polynomial with real roots, Int: Proc of ACM
- (1968) 340--349.
-
-\bibitem{Jana06}
-P.~Jana, Polynomial interpolation and polynomial root finding on otis-mesh,
- Parallel Comput 32~(3) (2006) 301--312.
-
-\bibitem{Janall99}
-P.~Jana, B.~Sinha, R.~D. Gupta, Efficient parallel algorithms for finding
- polynomial zeroes, Proc of the 6th int conference on advance computing, CDAC,
- Pune University Campus,India 15~(3) (1999) 189--196.
-
-\bibitem{Riceall06}
-T.~Rice, L.~Jamieson, A highly parallel algorithm for root extraction, IEEE
- Trans Comp 38~(3) (2006) 443--449.
-
-\bibitem{Azad07}
-H.~Azad, The performance of synchronous parallel polynomial root extraction on
- a ring multicomputer, Clust Comput 2~(10) (2007) 167--174.
-
-\bibitem{Gemignani07}
-L.~Gemignani, Structured matrix methods for polynomial root finding., n: Proc
- of the 2007 Intl symposium on symbolic and algebraic computation (2007)
- 175--180.
-
-\bibitem{Kalantari08}
-B.~Kalantari, Polynomial root finding and polynomiography., World
- Scientifict,New Jersey.
-
-\bibitem{Skachek08}
-V.~Skachek, Structured matrix methods for polynomial root finding., n: Proc of
- the 2007 Intl symposium on symbolic and algebraic computation (2008)
- 175--180.
-
-\bibitem{Zhancall08}
-X.~Zhanc, Z.~M.~Wan, A constrained learning algorithm for finding multiple real
- roots of polynomial, In: Proc of the 2008 intl symposium on computational
- intelligence and design (2008) 38--41.
-
-\bibitem{Zhuall08}
-W.~Zhu, w.~Zeng, D.~Lin, an adaptive algorithm finding multiple roots of
- polynomials, Lect Notes Comput Sci~(5262) (2008) 674--681.
-
-\bibitem{Bini04}
-D.~Bini, L.~Gemignani, Inverse power and durand kerner iterations for
- univariate polynomial root finding, Comput Math Appl~(47) (2004) 447--459.
-
-\bibitem{Cosnard90}
-M.~Cosnard, P.~Fraigniaud, Finding the roots of a polynomial on an mimd
- multicomputer, Parallel Comput 15~(3) (1990) 75--85.
-
-\bibitem{Jana99}
-P.~Jana, Finding polynomial zeroes on a multi-mesh of trees (mmt), In: Proc of
- the 2nd int conference on information technology (1999) 202--206.
-
-\bibitem{NVIDIA10}
-NVIDIA, NVIDIA CUDA C Programming Guide, Vol.~7 of 001, PG, 2015.
-
-\end{thebibliography}
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