X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/kahina_paper1.git/blobdiff_plain/a601f08e009efccb69bc30f54a76342afca25273..2b5ea4e0a2094ab312c8046da823ffe332c9577b:/mybibfile.bib

diff --git a/mybibfile.bib b/mybibfile.bib
index b87ff2b..d29bcb2 100644
--- a/mybibfile.bib
+++ b/mybibfile.bib
@@ -1,408 +1,473 @@
-@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. Spetiri",
-}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. Couturie 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
+@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
+@Book{Durand60,
+  author =	"\'E. Durand",
+  publisher =	"Masson, Paris",
+  title =	"Solutions num\'eriques des \'equations alg\'ebriques.
+		 {T}ome {I}: \'{E}quations du type {$F(x)=0$}; racines
+		 d'un polyn\^ome",
+  year = 	"1960",
+}x
+
+%@Article{Kerner66,
+  %title =   "Ein Gesamtschritteverfahren zur Berechnung der Nullstellen von Polynomen",
+ % journal = "Numerische Mathematik",
+%  volume =  "8",
+%  number =  "3",
+%  pages =   "290-294",
+  %year =    "1966",
+ % author =  "I. Kerner",
+%}x
+
+
+@Article{Kerner66,
+  author =	"Immo O. Kerner",
+  title =	"{Ein Gesamtschrittverfahren zur Berechnung der
+		 Nullstellen von Polynomen}. ({German}) [{A} Complete
+		 Step Method for the Computation of Zeros of
+		 Polynomials]",
+  journal =	"Numerische Mathematik",
+  volume =	"8",
+  number =	"3",
+  pages =	"290--294",
+  month =	may,
+  year = 	"1966",
+  CODEN =	"NUMMA7",
+  ISSN = 	"0029-599X (print), 0945-3245 (electronic)",
+  bibdate =	"Mon Oct 18 01:28:20 MDT 1999",
+  bibsource =	"http://www.math.utah.edu/pub/tex/bib/nummath.bib",
+  acknowledgement = "Nelson H. F. Beebe, University of Utah, Department
+		 of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake
+		 City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1
+		 801 581 4148, e-mail: \path|beebe@math.utah.edu|,
+		 \path|beebe@acm.org|, \path|beebe@computer.org|
+		 (Internet), URL:
+		 \path|http://www.math.utah.edu/~beebe/|",
+  fjournal =	"Numerische Mathematik",
+  journal-url =  "http://link.springer.com/journal/211",
+  language =	"German",
+}
+%@Article{Borch-Supan63,
+%  title =   "A posteriori error for the zeros of polynomials",
+  %journal = " Numerische Mathematik",
+ % volume =  "5",
+%  number =  "",
+%  pages =   "380-398",
+  %year =    "1963",
+ % author =  "W. Borch-Supan",
+%}x
+
+@Article{Borch-Supan63,
+  author =	"W. Boersch-Supan",
+  title =	"A Posteriori Error Bounds for the Zeros of
+		 Polynomials",
+  journal =	"Numerische Mathematik",
+  volume =	"5",
+  pages =	"380--398",
+  year = 	"1963",
+  CODEN =	"NUMMA7",
+  ISSN = 	"0029-599X",
+  bibdate =	"Fri Jan 12 11:37:56 1996",
+  acknowledgement = "Jon Rokne, Department of Computer Science, The
+		 University of Calgary, 2500 University Drive N.W.,
+		 Calgary, Alberta T2N 1N4, Canada",
+}
+
+%@Article{Ehrlich67,
+%  title =   "A modified Newton method for polynomials",
+%  journal = " Comm. Ass. Comput. Mach.",
+%  volume =  "10",
+%  number =  "2",
+%  pages =   "107-108",
+  %year =    "1967",
+ % author =  "L.W. Ehrlich",
+%}x
+
+@Article{Ehrlich67,
+  title =	"A modified Newton method for polynomials",
+  author =	"Louis W. Ehrlich",
+  journal =	"Commun. ACM",
+  year = 	"1967",
+  number =	"2",
+  volume =	"10",
+  bibdate =	"2003-11-20",
+  bibsource =	"DBLP,
+		 http://dblp.uni-trier.de/db/journals/cacm/cacm10.html#Ehrlich67",
+  pages =	"107--108",
+  URL =  	"http://doi.acm.org/10.1145/363067.363115",
+}
+@Article{Loizou83,
+  title =   "Higher-order iteration functions for simultaneously approximating polynomial zeros",
+  journal = " Intern. J. Computer Math",
+  volume =  "14",
+  number =  "",
+  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 =  "12",
+  number =  "",
+  pages =   "351-358",
+  year =    "1989",
+  author =  "T.L. Freeman",
+}x
+
+@Article{Freemanall90,
+  title =   " Asynchronous polynomial zero-finding algorithms",
+  journal = "  Parallel Computing",
+  volume =  "17",
+  number =  "",
+  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. Spies",
+}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 =  "",
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+  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 =       {},
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+  editor =       {Design Guide},
+  TITLE =        {NVIDIA CUDA C Programming Guide},
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+  YEAR =         {2015},
+  volume =       {7},
+  number =       {02829},
+  series =       {001},
+  month =        {march},
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