-@article{Dirac1953888,\r
- title = "The lorentz transformation and absolute time",\r
- journal = "Physica ",\r
- volume = "19",\r
- number = "1-–12",\r
- pages = "888--896",\r
- year = "1953",\r
- doi = "10.1016/S0031-8914(53)80099-6",\r
- author = "P.A.M. Dirac"\r
-}\r
-\r
-@article{Feynman1963118,\r
- title = "The theory of a general quantum system interacting with a linear dissipative system",\r
- journal = "Annals of Physics ",\r
- volume = "24",\r
- pages = "118--173",\r
- year = "1963",\r
- doi = "10.1016/0003-4916(63)90068-X",\r
- author = "R.P Feynman AND F.L {Vernon Jr.}"\r
-}\r
-\r
-@Article{Aberth73,\r
- title = "Iteration Methods for Finding all Zeros of a Polynomial Simultaneously",\r
- journal = "Mathematics of Computation",\r
- volume = "27",\r
- number = "122",\r
- pages = "339--344",\r
- year = "1973",\r
- doi = "10.1016/0003-4916(63)90068-X",\r
- author = "O. Aberth",\r
- \r
-}x\r
-\r
-\r
-@Article{Ilie50,\r
- title = "On the approximations of Newton",\r
- journal = "Annual Sofia Univ",\r
- volume = "",\r
- number = "46",\r
- pages = "167--171",\r
- year = "1950",\r
- doi = "10.1016/0003-4916(63)90068-X",\r
- author = "L. Ilieff",\r
- \r
-}x\r
-@Article{Docev62,\r
- title = "An alternative method of Newton for simultaneous calculation of all the roots of a given algebraic equation",\r
- journal = "Phys. Math. J",\r
- volume = "",\r
- number = "5",\r
- pages = "136-139",\r
- year = "1962",\r
- author = "K. Docev",\r
-}x\r
-\r
-@Article{Durand60,\r
- title = "Solution Numerique des Equations Algebriques, Vol. 1, Equations du Type F(x)=0, Racines d'une Polynome",\r
- journal = "",\r
- volume = "Vol.1",\r
- number = "",\r
- pages = "",\r
- year = "1960",\r
- author = "E. Durand",\r
-}x\r
-\r
-@Article{Kerner66,\r
- title = "Ein Gesamtschritteverfahren zur Berechnung der Nullstellen von Polynomen",\r
- journal = " ",\r
- volume = "",\r
- number = "8",\r
- pages = "290-294",\r
- year = "1966",\r
- author = "I. Kerner",\r
-}x\r
-\r
-@Article{Borch-Supan63,\r
- title = "A posteriori error for the zeros of polynomials",\r
- journal = " ",\r
- volume = "",\r
- number = "5",\r
- pages = "380-398",\r
- year = "1963",\r
- author = "W. Borch-Supan",\r
-}x\r
-\r
-@Article{Ehrlich67,\r
- title = "A modified Newton method for polynomials",\r
- journal = " Comm. Ass. Comput. Mach.",\r
- volume = "",\r
- number = "10",\r
- pages = "107-108",\r
- year = "1967",\r
- author = "L.W. Ehrlich",\r
-}x\r
-\r
-@Article{Loizon83,\r
- title = "Higher-order iteration functions for simultaneously approximating polynomial zeros",\r
- journal = " Intern. J. Computer Math",\r
- volume = "",\r
- number = "14",\r
- pages = "45-58",\r
- year = "1983",\r
- author = "G. Loizon",\r
-}x\r
-\r
-@Article{Freeman89,\r
- title = " Calculating polynomial zeros on a local memory parallel computer",\r
- journal = " Parallel Computing",\r
- volume = "",\r
- number = "12",\r
- pages = "351-358",\r
- year = "1989",\r
- author = "T.L. Freeman",\r
-}x\r
-\r
-@Article{Freemanall90,\r
- title = " Asynchronous polynomial zero-finding algorithms",\r
- journal = " Parallel Computing",\r
- volume = "",\r
- number = "17",\r
- pages = "673-681",\r
- year = "1990",\r
- author = "T.L. Freeman AND R.K. Brankin",\r
-}x\r
-\r
-@Article{Raphaelall01,\r
- title = " Extraction de racines dans des polynômes creux de degrées élevés.RSRCP (Réseaux et Systèmes Répartis, Calculateurs Parallèles)",\r
- journal = " Algorithmes itératifs paralléles et distribués",\r
- volume = "1",\r
- number = "13",\r
- pages = "67-81",\r
- year = "1990",\r
- author = "R. Couturier AND F. Spetiri",\r
-}x\r
-\r
-@Article{Ostrowski41,\r
- title = " On a Theorem by J.L. Walsh Concerning the Moduli of Roots of Algebraic Equations,Bull. A.M.S.",\r
- journal = " Algorithmes itératifs paralléles et distribués",\r
- volume = "1",\r
- number = "47",\r
- pages = "742-746",\r
- year = "1941",\r
- author = "A. Ostrowski",\r
-}x\r
-\r
-\r
-@Manual{CUDA10,\r
-title = {Compute Unified Device Architecture Programming Guide Version 3.0},\r
-OPTkey = {NVIDIA CUDA},\r
-OPTauthor = {•},\r
-OPTorganization = {NVIDIA CUDA},\r
-OPTaddress = {•},\r
-OPTedition = {•},\r
-OPTmonth = {March},\r
-OPTyear = {2010},\r
-OPTnote = {http://www.nvidia.com/object/cuda_develop.html},\r
-OPTannote = {•}\r
-}\r
-\r
-@Article{Kahinall14,\r
- title = " parallel implementation of the Durand-Kerner algorithm for polynomial root-finding on GPU",\r
- journal = " IEEE. Conf. on advanced Networking, Distributed Systems and Applications",\r
- volume = "",\r
- number = "",\r
- pages = "53-57",\r
- year = "2014",\r
- author = "K. Ghidouche AND R. Couturie AND A. Sider",\r
-}x\r
-\r
-@Article{Karimall98,\r
- \r
- title = " Perfectionnements de la méthode asynchrone de Durand-Kerner pour les polynômes complexes",\r
- journal = " Calculateurs Parallèles",\r
- volume = "10",\r
- number = "4",\r
- pages = "449-458",\r
- year = "1998",\r
- author = "K. Rhofir AND F. Spies AND Jean-Claude Miellou",\r
-}x\r
-\r
-@Article{Bini96,\r
- \r
- title = " Numerical computation of polynomial zeros by means of Aberth s method",\r
- journal = " Numerical Algorithms",\r
- volume = "13",\r
- number = "4",\r
- pages = "179-200",\r
- year = "1996",\r
- author = "D. Bini",\r
-}x\r
-\r
-@Article{Mirankar68,\r
- title = " Parallel methods for approximating the roots of a function",\r
- journal = " IBM Res Dev",\r
- volume = "30",\r
- number = "",\r
- pages = "297-301",\r
- year = "1968",\r
- author = "WL. Mirankar",\r
-}x\r
-\r
-@Article{Mirankar71,\r
- title = " A survey of parallelism in numerical analysis",\r
- journal = " SIAM Rev",\r
- volume = "",\r
- number = "",\r
- pages = "524-547",\r
- year = "1971",\r
- author = "WL. Mirankar",\r
-}x\r
-\r
-@Article{Schedler72,\r
- title = " Parallel iteration methods in complexity of computer communications",\r
- journal = " Commun ACM ",\r
- volume = "",\r
- number = "",\r
- pages = "286-290",\r
- year = "1967",\r
- author = "GS. Schedler",\r
-}x\r
-\r
-@Article{Winogard72,\r
- title = " Parallel iteration methods in complexity of computer communications",\r
- journal = " Plenum, New York",\r
- volume = "",\r
- number = "",\r
- pages = "",\r
- year = "1972",\r
- author = "S. Winogard",\r
-}x\r
-\r
-@Article{Benall68,\r
- title = " A fast parallel algorithm for determining all roots of a polynomial with real roots",\r
- journal = " Int: Proc of ACM",\r
- volume = "",\r
- number = "",\r
- pages = "340-349",\r
- year = "1968",\r
- author = "M. Ben-Or AND E. Feig AND D. Kozzen AND P. Tiwary",\r
-}x\r
-\r
-@Article{Riceall06,\r
- title = " A highly parallel algorithm for root extraction",\r
- journal = " IEEE Trans Comp",\r
- volume = "38",\r
- number = "3",\r
- pages = "443-449",\r
- year = "2006",\r
- author = "TA. Rice AND LH. Jamieson",\r
-}x\r
-\r
-@Article{Cosnard90,\r
- title = " Finding the roots of a polynomial on an MIMD multicomputer",\r
- journal = " Parallel Comput",\r
- volume = "15",\r
- number = "3",\r
- pages = "75-85",\r
- year = "1990",\r
- author = "M. Cosnard AND P. Fraigniaud",\r
-}x\r
-\r
-@Article{Janall99,\r
- title = " Efficient parallel algorithms for finding polynomial zeroes",\r
- journal = "Proc of the 6th int conference on advance computing, CDAC, Pune University Campus,India",\r
- volume = "15",\r
- number = "3",\r
- pages = "189-196",\r
- year = "1999",\r
- author = "PK. Jana AND BP. Sinha AND R. Datta Gupta",\r
-}x\r
-\r
-@Article{Jana06,\r
- title = " Polynomial interpolation and polynomial root finding on OTIS-Mesh",\r
- journal = " Parallel Comput",\r
- volume = "32",\r
- number = "3",\r
- pages = "301-312",\r
- year = "2006",\r
- author = "PK. Jana",\r
-}x\r
-@Article{Kalantari08,\r
- title = " Polynomial root finding and polynomiography.",\r
- journal = " World Scientifict,New Jersey",\r
- volume = "",\r
- number = "",\r
- pages = "",\r
- year = "",\r
- author = "B. Kalantari",\r
-}x\r
-\r
-@Article{Gemignani07,\r
- title = " Structured matrix methods for polynomial root finding.",\r
- journal = " n: Proc of the 2007 Intl symposium on symbolic and algebraic computation",\r
- volume = "",\r
- number = "",\r
- pages = "175-180",\r
- year = "2007",\r
- author = "L. Gemignani",\r
-}x\r
-\r
-\r
-\r
-@Article{Skachek08,\r
- title = " Structured matrix methods for polynomial root finding.",\r
- journal = " n: Proc of the 2007 Intl symposium on symbolic and algebraic computation",\r
- volume = "",\r
- number = "",\r
- pages = "175-180",\r
- year = "2008",\r
- author = "V. Skachek",\r
-}x\r
-\r
-@BOOK{Skachek008,\r
- AUTHOR = {V. Skachek},\r
- editor = {\7f},\r
- TITLE = {Probabilistic algorithm for finding roots of linearized polynomials},\r
- PUBLISHER = {codes and cryptography. Kluwer},\r
- YEAR = {2008},\r
- volume = {\7f},\r
- number = {\7f},\r
- series = {\7f},\r
- address = {\7f},\r
- edition = {Design},\r
- month = {\7f},\r
- note = {\7f},\r
- abstract = {\7f},\r
- isbn = {\7f},\r
- price = {\7f},\r
- keywords = {\7f},\r
- source = {\7f},\r
-}x\r
-\r
-@Article{Zhancall08,\r
- title = " A constrained learning algorithm for finding multiple real roots of polynomial",\r
- journal = " In: Proc of the 2008 intl symposium on computational intelligence and design",\r
- volume = "",\r
- number = "",\r
- pages = "38-41",\r
- year = "2008",\r
- author = "X. Zhanc AND M. Wan,Z.Yi",\r
-}x\r
-\r
-\r
-@Article{Zhuall08,\r
- title = " an adaptive algorithm finding multiple roots of polynomials",\r
- journal = " Lect Notes Comput Sci ",\r
- volume = "",\r
- number = "5262",\r
- pages = "674-681",\r
- year = "2008",\r
- author = "W. Zhu AND w. Zeng AND D. Lin",\r
-}x\r
-@Article{Azad07,\r
- title = " The performance of synchronous parallel polynomial root extraction on a ring multicomputer",\r
- journal = " Clust Comput ",\r
- volume = "2",\r
- number = "10",\r
- pages = "167-174",\r
- year = "2007",\r
- author = "HS. Azad",\r
-}x\r
-\r
-\r
-\r
-\r
-@Article{Bini04,\r
- title = " Inverse power and Durand Kerner iterations for univariate polynomial root finding",\r
- journal = " Comput Math Appl ",\r
- volume = "",\r
- number = "47",\r
- pages = "447-459",\r
- year = "2004",\r
- author = "DA. Bini AND L. Gemignani",\r
-}x\r
-\r
-@Article{Jana99,\r
- title = " Finding polynomial zeroes on a Multi-mesh of trees (MMT)",\r
- journal = " In: Proc of the 2nd int conference on information technology",\r
- volume = "",\r
- number = "",\r
- pages = "202-206",\r
- year = "1999",\r
- author = "PK. Jana",\r
-}x\r
-\r
-@Article{Weierstrass03,\r
- title = " Neuer Beweis des Satzes, dass jede ganze rationale function einer veranderlichen dagestellt werden kann als ein product aus linearen functionen derselben veranderlichen",\r
- journal = " Ges. Werke",\r
- volume = "3",\r
- number = "",\r
- pages = "251-269",\r
- year = "1903",\r
- author = "K. Weierstrass",\r
-}x\r
-\r
-\r
-\r
-@BOOK{NVIDIA10,\r
- AUTHOR = {NVIDIA},\r
- editor = {Design Guide},\r
- TITLE = {NVIDIA CUDA C Programming Guide},\r
- PUBLISHER = {PG},\r
- YEAR = {2015},\r
- volume = {7},\r
- number = {02829},\r
- series = {001},\r
- month = {march},\r
-}x\r
+@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 = "46",
+ number = "",
+ 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 = "5",
+ number = "",
+ pages = "136-139",
+ year = "1962",
+ author = "K. Docev",
+}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,
+ 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,
+ 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",
+ 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 = "1",
+ pages = "45-58",
+ year = "1983",
+ author = "G. Loizou",
+}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 = "",
+ 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
+
+
+@Book{Kalantari08,
+author = {B. Kalantari},
+title = {Polynomial root finding and polynomiography},
+publisher = {World Scientifict},
+year = {2008},
+OPTkey = {•},
+OPTvolume = {•},
+OPTnumber = {•},
+OPTseries = {•},
+OPTaddress = {•},
+OPTmonth = {December},
+OPTnote = {•},
+OPTannote = {•}
+}
+
+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
+
+
+@InProceedings{Gemignani07,
+ author = "Luca Gemignani",
+ title = "Structured matrix methods for polynomial
+ root-finding",
+ editor = "C. W. Brown",
+ booktitle = "Proceedings of the 2007 International Symposium on
+ Symbolic and Algebraic Computation, July 29--August 1,
+ 2007, University of Waterloo, Waterloo, Ontario,
+ Canada",
+ publisher = "ACM Press",
+ address = "pub-ACM:adr",
+ ISBN = "1-59593-743-9 (print), 1-59593-742-0 (CD-ROM)",
+ isbn-13 = "978-1-59593-743-8 (print), 978-1-59593-742-1
+ (CD-ROM)",
+ pages = "175--180",
+ year = "2007",
+ doi = "http://doi.acm.org/10.1145/1277548.1277573",
+ bibdate = "Fri Jun 20 08:46:50 MDT 2008",
+ bibsource = "http://portal.acm.org/;
+ http://www.math.utah.edu/pub/tex/bib/issac.bib",
+ abstract = "In this paper we discuss the use of structured matrix
+ methods for the numerical approximation of the zeros of
+ a univariate polynomial. In particular, it is shown
+ that root-finding algorithms based on floating-point
+ eigenvalue computation can benefit from the structure
+ of the matrix problem to reduce their complexity and
+ memory requirements by an order of magnitude.",
+ 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/|",
+ keywords = "complexity; eigenvalue computation; polynomial
+ root-finding; rank-structured matrices",
+ doi-url = "http://dx.doi.org/10.1145/1277548.1277573",
+}
+
+@Article{Skachek008,
+ title = "Probabilistic algorithm for finding roots of
+ linearized polynomials",
+ author = "Vitaly Skachek and Ron M. Roth",
+ journal = "Des. Codes Cryptography",
+ year = "2008",
+ number = "1",
+ volume = "46",
+ bibdate = "2008-03-11",
+ bibsource = "DBLP,
+ http://dblp.uni-trier.de/db/journals/dcc/dcc46.html#SkachekR08",
+ pages = "17--23",
+ URL = "http://dx.doi.org/10.1007/s10623-007-9125-y",
+}
+
+@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
+
+
+@InProceedings{Zhuall08,
+ title = "An Adaptive Algorithm Finding Multiple Roots of Polynomials",
+ author = "Wei Zhu and Zhe-zhao Zeng and Dong-mei Lin",
+ bibdate = "2008-09-25",
+ bibsource = "DBLP,
+ http://dblp.uni-trier.de/db/conf/isnn/isnn2008-2.html#ZhuZL08",
+ booktitle = "ISNN (2)",
+ publisher = "Springer",
+ year = "2008",
+ volume = "5264",
+ editor = "Fuchun Sun and Jianwei Zhang 0001 and Ying Tan and
+ Jinde Cao and Wen Yu 0001",
+ ISBN = "978-3-540-87733-2",
+ pages = "674--681",
+ series = "Lecture Notes in Computer Science",
+ URL = "http://dx.doi.org/10.1007/978-3-540-87734-9_77",
+}
+
+@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 = "47",
+ number = "",
+ 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
+@Manual{NVIDIA10,
+title = {NVIDIA CUDA C Programming Guide},
+OPTkey = {•},
+OPTauthor = {NVIDIA Corporation},
+OPTorganization = {Design Guide},
+OPTaddress = {•},
+OPTedition = {•},
+OPTmonth = {march},
+OPTyear = {2015},
+OPTnote = {•},
+OPTannote = {•}
+}
+
+
+
