@Article{Aberth73,
author = "O. Aberth",
- title = "Iteration Methods for Finding all Zeros of a
- Polynomial Simultaneously",
+ title = "Iteration Methods for Finding all Zeros of a Polynomial Simultaneously",
journal = "Mathematics of Computation",
volume = "27",
number = "122",
}x
-@Article{Aberth73,
- author = "O. Aberth",
- title = "Iteration Methods for Finding all Zeros of a
- Polynomial Simultaneously",
- journal = "Mathematics of Computation",
- volume = "27",
- number = "122",
- pages = "339--344",
- year = "1973",
+@Article{Ilie50,
+ author = "L.Ilieff ",
+ title = "On the approximations of Newton",
+ journal = "Annual Sofia Univ",
+ volume = "",
+ number = "46",
+ pages = "167--171",
+ year = "1950",
+ keywords = "RBBRS3, root finding,",
+}x
+@Article{Docev62,
+ author = "K.Docev ",
+ title = "An alternative method of Newton for simultaneous calculation of all the roots of a given algebraic equation",
+ journal = "Phys. Math. J",
+ volume = "",
+ number = "5",
+ pages = "136-139",
+ year = "1962",
+ keywords = "RBBRS3, root finding,",
+}x
+
+@Article{Durand60,
+ author = "E.Durand ",
+ title = "Solution Numerique des Equations Algebriques, Vol. 1, Equations du Type F(x)=0, Racines d'une Polynome",
+ journal = "",
+ volume = "Vol.1",
+ number = "",
+ pages = "",
+ year = "1960",
+ keywords = "RBBRS3, root finding,",
+}x
+
+@Article{Kerner66,
+ author = "I.O.Kerner",
+ title = "Ein Gesamtschritteverfahren zur Berechnung der Nullstellen von Polynomen",
+ journal = " ",
+ volume = "",
+ number = "8",
+ pages = "290-294",
+ year = "1966",
keywords = "RBBRS3, root finding,",
}x
+
+@Article{Borch-Supan63,
+ author = "W.Borch-Supan",
+ title = "A posteriori error for the zeros of polynomials",
+ journal = " ",
+ volume = "",
+ number = "5",
+ pages = "380-398",
+ year = "1963",
+ keywords = "RBBRS3, root finding,",
+}x
+
+@Article{Ehrlich67,
+ author = "L. W.Ehrlich",
+ title = "A modified Newton method for polynomials",
+ journal = " Comm. Ass. Comput. Mach.",
+ volume = "",
+ number = "10",
+ pages = "107-108",
+ year = "1967",
+ keywords = "RBBRS3, root finding,",
+}x
+
+@Article{Loizon83,
+ author = "G.Loizon",
+ title = "Higher-order iteration functions for simultaneously approximating polynomial zeros",
+ journal = " Intern. J. Computer Math",
+ volume = "",
+ number = "14",
+ pages = "45-58",
+ year = "1983",
+ keywords = "simultaneously approximating, root finding,",
+}x
+
+@Article{Freeman89,
+ author = "T.L.Freeman",
+ title = " Calculating polynomial zeros on a local memory parallel computer",
+ journal = " Parallel Computing",
+ volume = "",
+ number = "12",
+ pages = "351-358",
+ year = "1989",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Freemanall90,
+ author = "T.L.Freeman AND R.K.Brankin",
+ title = " Asynchronous polynomial zero-finding algorithms",
+ journal = " Parallel Computing",
+ volume = "",
+ number = "17",
+ pages = "673-681",
+ year = "1990",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Raphaelall01,
+ author = "C.Raphael AND S.François",
+ title = " Extraction de racines dans des polynômes creux de degrées élevés.RSRCP (Réseaux et Systèmes Répartis, Calculateurs Parallèles)",
+ journal = " Algorithmes itératifs paralléles et distribués",
+ volume = "1",
+ number = "13",
+ pages = "67-81",
+ year = "1990",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Ostrowski41,
+ author = "A.Ostrowski",
+ title = " On a Theorem by J.L. Walsh Concerning the Moduli of Roots of Algebraic Equations,Bull. A.M.S.",
+ journal = " Algorithmes itératifs paralléles et distribués",
+ volume = "1",
+ number = "47",
+ pages = "742-746",
+ year = "1941",
+ keywords = "Parallel, root finding,",
+}x
+
+
+@Manual{CUDA10,
+title = {Compute Unified Device Architecture Programming Guide Version 3.0},
+OPTkey = {NVIDIA CUDA},
+OPTauthor = {\95},
+OPTorganization = {NVIDIA CUDA},
+OPTaddress = {\95},
+OPTedition = {\95},
+OPTmonth = {March},
+OPTyear = {2010},
+OPTnote = {http://www.nvidia.com/object/cuda_develop.html},
+OPTannote = {\95}
+}
+
+@Article{Kahinall14,
+ author = "G.Kahina AND C.Raphael AND S.Abderrahmane",
+ title = " parallel implementation of the Durand-Kerner algorithm for polynomial root-finding on GPU",
+ journal = " IEEE. Conf. on advanced Networking, Distributed Systems and Applications",
+ volume = "",
+ number = "",
+ pages = "53-57",
+ year = "2014",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Karimall98,
+ author = "K.Rhofir,F.Spies, and Jean-Claude Miellou",
+ title = " Perfectionnements de la méthode asynchrone de Durand-Kerner pour les polynômes complexes",
+ journal = " Calculateurs Parallèles",
+ volume = "10",
+ number = "4",
+ pages = "449-458",
+ year = "1998",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Bini96,
+ author = "D.A.Bini",
+ title = " Numerical computation of polynomial zeros by means of Aberth s method",
+ journal = " Numerical Algorithms",
+ volume = "13",
+ number = "4",
+ pages = "179-200",
+ year = "1996",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Mirankar68,
+ author = "WL.Mirankar",
+ title = " Parallel methods for approximating the roots of a function",
+ journal = " IBM Res Dev",
+ volume = "30",
+ number = "",
+ pages = "297-301",
+ year = "1968",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Mirankar71,
+ author = "WL.Mirankar",
+ title = " A survey of parallelism in numerical analysis",
+ journal = " SIAM Rev",
+ volume = "",
+ number = "",
+ pages = "524-547",
+ year = "1971",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Schedler72,
+ author = "GS.Schedler",
+ title = " Parallel iteration methods in complexity of computer communications",
+ journal = " Commun ACM ",
+ volume = "",
+ number = "",
+ pages = "286-290",
+ year = "1967",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Winogard72,
+ author = "S.Winogard",
+ title = " Parallel iteration methods in complexity of computer communications",
+ journal = " Plenum, New York",
+ volume = "",
+ number = "",
+ pages = "",
+ year = "1972",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Benall68,
+ author = "M.Ben-Or AND E.Feig AND D.Kozzen AND P.Tiwary",
+ title = " A fast parallel algorithm for determining all roots of a polynomial with real roots",
+ journal = " Int: Proc of ACM",
+ volume = "",
+ number = "",
+ pages = "340-349",
+ year = "1968",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Riceall06,
+ author = "TA.Rice,LH.Jamieson",
+ title = " A highly parallel algorithm for root extraction",
+ journal = " IEEE Trans Comp",
+ volume = "38",
+ number = "3",
+ pages = "443-449",
+ year = "2006",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Cosnard90,
+ author = "M.Cosnard,P.Fraigniaud",
+ title = " Finding the roots of a polynomial on an MIMD multicomputer",
+ journal = " Parallel Comput",
+ volume = "15",
+ number = "3",
+ pages = "75-85",
+ year = "1990",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Janall99,
+ author = "PK.Jana,BP.Sinha,R.Datta Gupta",
+ title = " Efficient parallel algorithms for finding polynomial zeroes",
+ journal = "Proc of the 6th int conference on advance computing, CDAC, Pune University Campus,India",
+ volume = "15",
+ number = "3",
+ pages = "189-196",
+ year = "1999",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Jana06,
+ author = "PK.Jana",
+ title = " Polynomial interpolation and polynomial root finding on OTIS-Mesh",
+ journal = " Parallel Comput",
+ volume = "32",
+ number = "3",
+ pages = "301-312",
+ year = "2006",
+ keywords = "Parallel, root finding,",
+}x
+@Article{Kalantari08,
+ author = "B.Kalantari",
+ title = " Polynomial root finding and polynomiography.",
+ journal = " World Scientifict,New Jersey",
+ volume = "",
+ number = "",
+ pages = "",
+ year = "",
+ keywords = "Parallel, root finding,",
+}x
+
+@Article{Gemignani07,
+ author = "L.Gemignani",
+ title = " Structured matrix methods for polynomial root finding.",
+ journal = " n: Proc of the 2007 Intl symposium on symbolic and algebraic computation",
+ volume = "",
+ number = "",
+ pages = "175-180",
+ year = "2007",
+ keywords = "Matrix, root finding,",
+}x
+
+
+
+@Article{Skachek08,
+ author = "V.Skachek",
+ title = " Structured matrix methods for polynomial root finding.",
+ journal = " n: Proc of the 2007 Intl symposium on symbolic and algebraic computation",
+ volume = "",
+ number = "",
+ pages = "175-180",
+ year = "2008",
+ keywords = "Matrix, root finding,",
+}x
+
+@BOOK{Skachek008,
+ AUTHOR = {V.Skachek},
+ editor = {\7f},
+ TITLE = {Probabilistic algorithm for finding roots of linearized polynomials},
+ PUBLISHER = {codes and cryptography. Kluwer},
+ YEAR = {2008},
+ volume = {\7f},
+ number = {\7f},
+ series = {\7f},
+ address = {\7f},
+ edition = {Design},
+ month = {\7f},
+ note = {\7f},
+ abstract = {\7f},
+ isbn = {\7f},
+ price = {\7f},
+ keywords = {\7f},
+ source = {\7f},
+}x
+
+@Article{Zhancall08,
+ author = "X.Zhanc,M.Wan,Z.Yi",
+ title = " A constrained learning algorithm for finding multiple real roots of polynomial",
+ journal = " In: Proc of the 2008 intl symposium on computational intelligence and design",
+ volume = "",
+ number = "",
+ pages = "38-41",
+ year = "2008",
+ keywords = "Matrix, root finding,",
+}x
+
+
+@Article{Zhuall08,
+ author = "W.Zhu,w.Zeng,D.Lin",
+ title = " an adaptive algorithm finding multiple roots of polynomials",
+ journal = " Lect Notes Comput Sci ",
+ volume = "",
+ number = "5262",
+ pages = "674-681",
+ year = "2008",
+ keywords = "Matrix, root finding,",
+}x
+@Article{Azad07,
+ author = "HS.Azad",
+ title = " The performance of synchronous parallel polynomial root extraction on a ring multicomputer",
+ journal = " Clust Comput ",
+ volume = "2",
+ number = "10",
+ pages = "167-174",
+ year = "2007",
+ keywords = "Matrix, root finding,",
+}x
+
+
+
+
+@Article{Bini04,
+ author = "DA.Bini,L.Gemignani",
+ title = " Inverse power and Durand Kerner iterations for univariate polynomial root finding",
+ journal = " Comput Math Appl ",
+ volume = "",
+ number = "47",
+ pages = "447-459",
+ year = "2004",
+ keywords = "Matrix, root finding,",
+}x
+
+@Article{Jana99,
+ author = "PK.Jana",
+ title = " Finding polynomial zeroes on a Multi-mesh of trees (MMT)",
+ journal = " In: Proc of the 2nd int conference on information technology",
+ volume = "",
+ number = "",
+ pages = "202-206",
+ year = "1999",
+ keywords = "Matrix, root finding,",
+}x
+
+@Article{Weierstrass03,
+ author = "K.Weierstrass",
+ title = " Neuer Beweis des Satzes, dass jede ganze rationale function einer veranderlichen dagestellt werden kann als ein product aus linearen functionen derselben veranderlichen",
+ journal = " Ges. Werke",
+ volume = "3",
+ number = "",
+ pages = "251-269",
+ year = "1903",
+ keywords = "Neuer Beweis , root finding,",
+}x
+
+
+
+@BOOK{NVIDIA10,
+ AUTHOR = {NVIDIA},
+ editor = {Design Guide},
+ TITLE = {NVIDIA CUDA C Programming Guide},
+ PUBLISHER = {PG},
+ YEAR = {2015},
+ volume = {7},
+ number = {02829},
+ series = {001},
+ month = {march},
+}x
