Figure 4

[kahina_paper1.git] / mybibfile.bib

diff --git a/mybibfile.bib b/mybibfile.bib
index d29bcb2720a6ef8389953c781b5a24752f482a72..37e3d4288a8f713724a706b134f2ba6d93571e09 100644 (file)
--- a/mybibfile.bib
+++ b/mybibfile.bib
@@ -31,37 +31,28 @@
        
 }x
 
        
 }x
 

-

 @Article{Ilie50,
   title =   "On the approximations of Newton",
   journal = "Annual Sofia Univ",
 @Article{Ilie50,
   title =   "On the approximations of Newton",
   journal = "Annual Sofia Univ",

-  volume =  "",
-  number =  "46",
+  volume =  "46",
+  number =  "",

   pages =   "167--171",
   year =    "1950",
   doi     = "10.1016/0003-4916(63)90068-X",
        author =  "L. Ilieff",
        
 }x
   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",
 @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",
+  volume =  "5",
+  number =  "",

   pages =   "136-139",
   year =    "1962",
   author =  "K. Docev",
 }x
 
   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",
 @Book{Durand60,
   author =     "\'E. Durand",
   publisher =  "Masson, Paris",


@@ -71,17 +62,6 @@
   year =       "1960",
 }x
 
   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
 @Article{Kerner66,
   author =     "Immo O. Kerner",
   title =      "{Ein Gesamtschrittverfahren zur Berechnung der


@@ -109,15 +89,6 @@
   journal-url =  "http://link.springer.com/journal/211",
   language =   "German",
 }
   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",
 
 @Article{Borch-Supan63,
   author =     "W. Boersch-Supan",


@@ -135,16 +106,6 @@
                 Calgary, Alberta T2N 1N4, Canada",
 }
 
                 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",
 @Article{Ehrlich67,
   title =      "A modified Newton method for polynomials",
   author =     "Louis W. Ehrlich",


@@ -162,10 +123,10 @@
   title =   "Higher-order iteration functions for simultaneously approximating polynomial zeros",
   journal = " Intern. J. Computer Math",
   volume =  "14",
   title =   "Higher-order iteration functions for simultaneously approximating polynomial zeros",
   journal = " Intern. J. Computer Math",
   volume =  "14",

-  number =  "",
+  number =  "1",

   pages =   "45-58",
   year =    "1983",
   pages =   "45-58",
   year =    "1983",

-  author =  "G. Loizon",
+  author =  "G. Loizou",

 }x
 
 @Article{Freeman89,
 }x
 
 @Article{Freeman89,


@@ -189,7 +150,7 @@
 }x
 
 @Article{Raphaelall01,
 }x
 
 @Article{Raphaelall01,

-  title =   " Extraction de racines dans des polynômes creux de degrées élevés. RSRCP (Réseaux et Systèmes Répartis, Calculateurs Parallèles)",
+  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",
   journal = "  Algorithmes itératifs paralléles et distribués",
   volume =  "1",
   number =  "13",


@@ -199,7 +160,7 @@
 }x
 
 @Article{Ostrowski41,
 }x
 
 @Article{Ostrowski41,

-  title =   "  On a Theorem by J.L. Walsh Concerning the Moduli of Roots of Algebraic Equations,Bull. A.M.S.",
+  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",
   journal = "  Algorithmes itératifs paralléles et distribués",
   volume =  "1",
   number =  "47",


@@ -223,8 +184,8 @@ OPTannote = {•}
 }
 
 @Article{Kahinall14,
 }
 
 @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",
+  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",
   volume =  "",
   number =  "",
   pages =   "53-57",


@@ -343,30 +304,25 @@ OPTannote = {•}
   year =    "2006",
   author =  "PK. Jana",
 }x
   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

 
 
 
 

+@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.",
+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 =  "",
   journal = " n: Proc of the 2007 Intl symposium on symbolic and algebraic computation",
   volume =  "",
   number =  "",


@@ -375,25 +331,60 @@ OPTannote = {•}
   author =  "V. Skachek",
 }x
 
   author =  "V. Skachek",
 }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
+
+@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",
 
 @Article{Zhancall08,
   title =   " A constrained learning algorithm for finding multiple real roots of polynomial",


@@ -406,15 +397,24 @@ OPTannote = {•}
 }x
 
 
 }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
+@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 ",
 @Article{Azad07,
   title =   " The performance of synchronous parallel polynomial root extraction on a ring multicomputer",
   journal = " Clust Comput ",


@@ -431,8 +431,8 @@ OPTannote = {•}
 @Article{Bini04,
   title =   " Inverse power and Durand Kerner iterations for univariate polynomial root finding",
   journal = " Comput Math Appl ",
 @Article{Bini04,
   title =   " Inverse power and Durand Kerner iterations for univariate polynomial root finding",
   journal = " Comput Math Appl ",

-  volume =  "",
-  number =  "47",
+  volume =  "47",
+  number =  "",

   pages =   "447-459",
   year =    "2004",
   author =  "DA. Bini AND L. Gemignani",
   pages =   "447-459",
   year =    "2004",
   author =  "DA. Bini AND L. Gemignani",


@@ -457,17 +457,18 @@ OPTannote = {•}
   year =    "1903",
   author =  "K. Weierstrass",
 }x
   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 = {•}
+}

 
 
 
 
 
 

-@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