X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/kahina_paper1.git/blobdiff_plain/555354e3bf6dbb62e78bbfd56f42c17be87d7bec..c6bec9299169e264ace308afa3d39e94b0769068:/biblio.bib?ds=inline diff --git a/biblio.bib b/biblio.bib index aef5348..d90810b 100644 --- a/biblio.bib +++ b/biblio.bib @@ -1,11 +1,414 @@ @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", - keywords = "RBBRS3, root finding,", -}x \ No newline at end of file + 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", + keywords = "RBBRS3, root finding,", +}x + + +@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 = {•}, +OPTorganization = {NVIDIA CUDA}, +OPTaddress = {•}, +OPTedition = {•}, +OPTmonth = {March}, +OPTyear = {2010}, +OPTnote = {http://www.nvidia.com/object/cuda_develop.html}, +OPTannote = {•} +} + +@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 = {}, + TITLE = {Probabilistic algorithm for finding roots of linearized polynomials}, + PUBLISHER = {codes and cryptography. Kluwer}, + YEAR = {2008}, + volume = {}, + number = {}, + series = {}, + address = {}, + edition = {Design}, + month = {}, + note = {}, + abstract = {}, + isbn = {}, + price = {}, + keywords = {}, + source = {}, +}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