X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/kahina_paper1.git/blobdiff_plain/4bba0524dc08c15ba13863012d6bc90480c18721..6f76482b569516829ba1ec3f0358dec6c479c001:/mybibfile.bib?ds=inline diff --git a/mybibfile.bib b/mybibfile.bib index b87ff2b..cbaa902 100644 --- a/mybibfile.bib +++ b/mybibfile.bib @@ -1,408 +1,408 @@ -@article{Dirac1953888, - title = "The lorentz transformation and absolute time", - journal = "Physica ", - volume = "19", - number = "1-–12", - pages = "888--896", - year = "1953", - doi = "10.1016/S0031-8914(53)80099-6", - author = "P.A.M. Dirac" -} - -@article{Feynman1963118, - title = "The theory of a general quantum system interacting with a linear dissipative system", - journal = "Annals of Physics ", - volume = "24", - pages = "118--173", - year = "1963", - doi = "10.1016/0003-4916(63)90068-X", - author = "R.P Feynman AND F.L {Vernon Jr.}" -} - -@Article{Aberth73, - title = "Iteration Methods for Finding all Zeros of a Polynomial Simultaneously", - journal = "Mathematics of Computation", - volume = "27", - number = "122", - pages = "339--344", - year = "1973", - doi = "10.1016/0003-4916(63)90068-X", - author = "O. Aberth", - -}x - - -@Article{Ilie50, - title = "On the approximations of Newton", - journal = "Annual Sofia Univ", - volume = "", - number = "46", - pages = "167--171", - year = "1950", - doi = "10.1016/0003-4916(63)90068-X", - author = "L. Ilieff", - -}x -@Article{Docev62, - 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", - author = "K. Docev", -}x - -@Article{Durand60, - 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", - author = "E. Durand", -}x - -@Article{Kerner66, - title = "Ein Gesamtschritteverfahren zur Berechnung der Nullstellen von Polynomen", - journal = " ", - volume = "", - number = "8", - pages = "290-294", - year = "1966", - author = "I. Kerner", -}x - -@Article{Borch-Supan63, - title = "A posteriori error for the zeros of polynomials", - journal = " ", - volume = "", - number = "5", - pages = "380-398", - year = "1963", - author = "W. 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Schedler", -}x - -@Article{Winogard72, - title = " Parallel iteration methods in complexity of computer communications", - journal = " Plenum, New York", - volume = "", - number = "", - pages = "", - year = "1972", - author = "S. Winogard", -}x - -@Article{Benall68, - 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", - author = "M. Ben-Or AND E. Feig AND D. Kozzen AND P. Tiwary", -}x - -@Article{Riceall06, - title = " A highly parallel algorithm for root extraction", - journal = " IEEE Trans Comp", - volume = "38", - number = "3", - pages = "443-449", - year = "2006", - author = "TA. Rice AND LH. Jamieson", -}x - -@Article{Cosnard90, - title = " Finding the roots of a polynomial on an MIMD multicomputer", - journal = " Parallel Comput", - volume = "15", - number = "3", - pages = "75-85", - year = "1990", - author = "M. Cosnard AND P. Fraigniaud", -}x - -@Article{Janall99, - 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", - author = "PK. Jana AND BP. Sinha AND R. Datta Gupta", -}x - -@Article{Jana06, - title = " Polynomial interpolation and polynomial root finding on OTIS-Mesh", - journal = " Parallel Comput", - volume = "32", - number = "3", - pages = "301-312", - year = "2006", - author = "PK. Jana", -}x -@Article{Kalantari08, - title = " Polynomial root finding and polynomiography.", - journal = " World Scientifict,New Jersey", - volume = "", - number = "", - pages = "", - year = "", - author = "B. Kalantari", -}x - -@Article{Gemignani07, - 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", - author = "L. Gemignani", -}x - - - -@Article{Skachek08, - 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", - author = "V. Skachek", -}x - -@BOOK{Skachek008, - AUTHOR = {V. Skachek}, - editor = {}, - TITLE = {Probabilistic algorithm for finding roots of linearized polynomials}, - PUBLISHER = {codes and cryptography. 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Lin", -}x -@Article{Azad07, - 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", - author = "HS. Azad", -}x - - - - -@Article{Bini04, - title = " Inverse power and Durand Kerner iterations for univariate polynomial root finding", - journal = " Comput Math Appl ", - volume = "", - number = "47", - pages = "447-459", - year = "2004", - author = "DA. Bini AND L. Gemignani", -}x - -@Article{Jana99, - 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", - author = "PK. Jana", -}x - -@Article{Weierstrass03, - 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", - author = "K. Weierstrass", -}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 +@article{Dirac1953888, + title = "The lorentz transformation and absolute time", + journal = "Physica ", + volume = "19", + number = "1-–12", + pages = "888--896", + year = "1953", + doi = "10.1016/S0031-8914(53)80099-6", + author = "P.A.M. Dirac" +} + +@article{Feynman1963118, + title = "The theory of a general quantum system interacting with a linear dissipative system", + journal = "Annals of Physics ", + volume = "24", + pages = "118--173", + year = "1963", + doi = "10.1016/0003-4916(63)90068-X", + author = "R.P Feynman AND F.L {Vernon Jr.}" +} + +@Article{Aberth73, + title = "Iteration Methods for Finding all Zeros of a Polynomial Simultaneously", + journal = "Mathematics of Computation", + volume = "27", + number = "122", + pages = "339--344", + year = "1973", + doi = "10.1016/0003-4916(63)90068-X", + author = "O. Aberth", + +}x + + +@Article{Ilie50, + title = "On the approximations of Newton", + journal = "Annual Sofia Univ", + volume = "", + number = "46", + pages = "167--171", + year = "1950", + doi = "10.1016/0003-4916(63)90068-X", + author = "L. Ilieff", + +}x +@Article{Docev62, + 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", + author = "K. Docev", +}x + +@Article{Durand60, + 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", + author = "E. Durand", +}x + +@Article{Kerner66, + title = "Ein Gesamtschritteverfahren zur Berechnung der Nullstellen von Polynomen", + journal = " ", + volume = "", + number = "8", + pages = "290-294", + year = "1966", + author = "I. Kerner", +}x + +@Article{Borch-Supan63, + title = "A posteriori error for the zeros of polynomials", + journal = " ", + volume = "", + number = "5", + pages = "380-398", + year = "1963", + author = "W. Borch-Supan", +}x + +@Article{Ehrlich67, + title = "A modified Newton method for polynomials", + journal = " Comm. Ass. Comput. Mach.", + volume = "", + number = "10", + pages = "107-108", + year = "1967", + author = "L.W. Ehrlich", +}x + +@Article{Loizon83, + title = "Higher-order iteration functions for simultaneously approximating polynomial zeros", + journal = " Intern. J. Computer Math", + volume = "", + number = "14", + pages = "45-58", + year = "1983", + author = "G. Loizon", +}x + +@Article{Freeman89, + title = " Calculating polynomial zeros on a local memory parallel computer", + journal = " Parallel Computing", + volume = "", + number = "12", + pages = "351-358", + year = "1989", + author = "T.L. Freeman", +}x + +@Article{Freemanall90, + title = " Asynchronous polynomial zero-finding algorithms", + journal = " Parallel Computing", + volume = "", + number = "17", + pages = "673-681", + year = "1990", + author = "T.L. Freeman AND R.K. Brankin", +}x + +@Article{Raphaelall01, + 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", + author = "R. Couturier AND F. Spiteri", +}x + +@Article{Ostrowski41, + 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", + author = "A. Ostrowski", +}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, + 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", + author = "K. Ghidouche AND R. Couturier AND A. Sider", +}x + +@Article{Karimall98, + + 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", + author = "K. Rhofir AND F. Spies AND Jean-Claude Miellou", +}x + +@Article{Bini96, + + title = " Numerical computation of polynomial zeros by means of Aberth s method", + journal = " Numerical Algorithms", + volume = "13", + number = "4", + pages = "179-200", + year = "1996", + author = "D. Bini", +}x + +@Article{Mirankar68, + title = " Parallel methods for approximating the roots of a function", + journal = " IBM Res Dev", + volume = "30", + number = "", + pages = "297-301", + year = "1968", + author = "WL. Mirankar", +}x + +@Article{Mirankar71, + title = " A survey of parallelism in numerical analysis", + journal = " SIAM Rev", + volume = "", + number = "", + pages = "524-547", + year = "1971", + author = "WL. Mirankar", +}x + +@Article{Schedler72, + title = " Parallel iteration methods in complexity of computer communications", + journal = " Commun ACM ", + volume = "", + number = "", + pages = "286-290", + year = "1967", + author = "GS. Schedler", +}x + +@Article{Winogard72, + title = " Parallel iteration methods in complexity of computer communications", + journal = " Plenum, New York", + volume = "", + number = "", + pages = "", + year = "1972", + author = "S. Winogard", +}x + +@Article{Benall68, + 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", + author = "M. Ben-Or AND E. Feig AND D. Kozzen AND P. Tiwary", +}x + +@Article{Riceall06, + title = " A highly parallel algorithm for root extraction", + journal = " IEEE Trans Comp", + volume = "38", + number = "3", + pages = "443-449", + year = "2006", + author = "TA. Rice AND LH. Jamieson", +}x + +@Article{Cosnard90, + title = " Finding the roots of a polynomial on an MIMD multicomputer", + journal = " Parallel Comput", + volume = "15", + number = "3", + pages = "75-85", + year = "1990", + author = "M. Cosnard AND P. Fraigniaud", +}x + +@Article{Janall99, + 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", + author = "PK. Jana AND BP. Sinha AND R. Datta Gupta", +}x + +@Article{Jana06, + title = " Polynomial interpolation and polynomial root finding on OTIS-Mesh", + journal = " Parallel Comput", + volume = "32", + number = "3", + pages = "301-312", + year = "2006", + author = "PK. Jana", +}x +@Article{Kalantari08, + title = " Polynomial root finding and polynomiography.", + journal = " World Scientifict,New Jersey", + volume = "", + number = "", + pages = "", + year = "", + author = "B. Kalantari", +}x + +@Article{Gemignani07, + 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", + author = "L. Gemignani", +}x + + + +@Article{Skachek08, + 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", + author = "V. Skachek", +}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, + 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", + author = "X. Zhanc AND M. Wan,Z.Yi", +}x + + +@Article{Zhuall08, + title = " an adaptive algorithm finding multiple roots of polynomials", + journal = " Lect Notes Comput Sci ", + volume = "", + number = "5262", + pages = "674-681", + year = "2008", + author = "W. Zhu AND w. Zeng AND D. Lin", +}x +@Article{Azad07, + 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", + author = "HS. Azad", +}x + + + + +@Article{Bini04, + title = " Inverse power and Durand Kerner iterations for univariate polynomial root finding", + journal = " Comput Math Appl ", + volume = "", + number = "47", + pages = "447-459", + year = "2004", + author = "DA. Bini AND L. Gemignani", +}x + +@Article{Jana99, + 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", + author = "PK. Jana", +}x + +@Article{Weierstrass03, + 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", + author = "K. Weierstrass", +}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