X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/kahina_paper1.git/blobdiff_plain/6f76482b569516829ba1ec3f0358dec6c479c001..5aba5c84ad0c3d8f4dddc7ae0e84415213541890:/mybibfile.bib?ds=sidebyside diff --git a/mybibfile.bib b/mybibfile.bib index cbaa902..690f223 100644 --- a/mybibfile.bib +++ b/mybibfile.bib @@ -1,23 +1,33 @@ -@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" -} +@InCollection{newt1670, + author = "Isaac Newton", + year = "1670--71?", + title = "Tractatus de Methodis Serierum et Fluxionum", + booktitle = "The Mathematical Papers of Isaac Newton, III", + editor = "D. T. Whiteside", + pages = "32--353", + publisher = "Cambridge University Press, Cambridge", + kwds = "na, history, Newton's method", +}x + +@Book{Cardano15, + author = "Girolamo Cardano", + title = "Ars Magna or The Rules of Algebra, 1545", + editor = "T. Richard Witmer", + publisher = "MIT", + year = "1968", +}x + +@Article{NH-Abel26, + title = "Beweis der Unmöglichkeit, algebraische Gleichungen von höheren Graden als dem vierten allgemein aufzulösen", + journal = "J. reine angew, Math", + volume = "1", + number = "1", + pages = "65--84", + year = "1826", + author = "Niels Henrik Abel", + +}x -@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", @@ -26,115 +36,143 @@ 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", + volume = "46", + number = "", pages = "167--171", year = "1950", - doi = "10.1016/0003-4916(63)90068-X", - author = "L. Ilieff", + 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", + volume = "5", + number = "", 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", +@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 = " ", - volume = "", - number = "8", - pages = "290-294", - year = "1966", - author = "I. Kerner", -}x + 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 = " ", - volume = "", - number = "5", - pages = "380-398", - year = "1963", - author = "W. Borch-Supan", -}x + 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 = "", - number = "10", - pages = "107-108", - year = "1967", - author = "L.W. Ehrlich", -}x - -@Article{Loizon83, + 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 = "", - number = "14", + volume = "14", + number = "1", pages = "45-58", year = "1983", - author = "G. Loizon", + author = "G. Loizou", }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 - + title = "Calculating polynomial zeros on a local memory + parallel computer", + author = "T. L. Freeman", + journal = "Parallel Computing", + year = "1989", + number = "3", + volume = "12", + bibdate = "2011-09-09", + bibsource = "DBLP, + http://dblp.uni-trier.de/db/journals/pc/pc12.html#Freeman89", + pages = "351--358", + URL = "http://dx.doi.org/10.1016/0167-8191(89)90093-8", +} @Article{Freemanall90, title = " Asynchronous polynomial zero-finding algorithms", journal = " Parallel Computing", - volume = "", - number = "17", + 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)", + 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", + 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.", + title = " On a Theorem by {J. L. Walsh} Concerning the Moduli of Roots of Algebraic Equations. A.M.S.", journal = " Algorithmes itératifs paralléles et distribués", volume = "1", number = "47", @@ -158,8 +196,8 @@ 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", + title = "Parallel implementation of the {D}urand-{K}erner algorithm for polynomial root-finding on {GPU}", + journal = "IEEE. Conf. on advanced Networking, Distributed Systems and Applications", volume = "", number = "", pages = "53-57", @@ -169,7 +207,7 @@ OPTannote = {•} @Article{Karimall98, - title = " Perfectionnements de la méthode asynchrone de Durand-Kerner pour les polynômes complexes", + title = " Perfectionnements de la méthode asynchrone de {D}urand-{K}erner pour les polynômes complexes", journal = " Calculateurs Parallèles", volume = "10", number = "4", @@ -179,20 +217,23 @@ OPTannote = {•} }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 - + title = "Numerical computation of polynomial zeros by means of + Aberth's method", + author = "D. Bini", + journal = "Numerical Algorithms", + year = "1996", + number = "2", + volume = "13", + bibdate = "2015-09-27", + bibsource = "DBLP, + http://dblp.uni-trier.de/db/journals/na/na13.html#Bini96", + pages = "179--200", + URL = "http://dx.doi.org/10.1007/BF02207694", +} @Article{Mirankar68, title = " Parallel methods for approximating the roots of a function", journal = " IBM Res Dev", - volume = "30", + volume = "13", number = "", pages = "297-301", year = "1968", @@ -202,7 +243,7 @@ OPTannote = {•} @Article{Mirankar71, title = " A survey of parallelism in numerical analysis", journal = " SIAM Rev", - volume = "", + volume = "13", number = "", pages = "524-547", year = "1971", @@ -210,23 +251,28 @@ OPTannote = {•} }x @Article{Schedler72, - title = " Parallel iteration methods in complexity of computer communications", + title = " Parallel Numerical Methods for Solution of Equations", journal = " Commun ACM ", - volume = "", + volume = "10", 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", +@InProceedings{Winogard72, + title = "Parallel Iteration Methods", + author = "S. Winograd", + bibdate = "2011-09-13", + bibsource = "DBLP, + http://dblp.uni-trier.de/db/conf/coco/cocc1972.html#Winograd72", + booktitle = "Complexity of Computer Computations", + publisher = "Plenum Press, New York", + year = "1972", + editor = "Raymond E. Miller and James W. Thatcher", + ISBN = "0-306-30707-3", + pages = "53--60", + series = "The IBM Research Symposia Series", }x @Article{Benall68, @@ -235,7 +281,7 @@ OPTannote = {•} volume = "", number = "", pages = "340-349", - year = "1968", + year = "1988", author = "M. Ben-Or AND E. Feig AND D. Kozzen AND P. Tiwary", }x @@ -278,30 +324,25 @@ OPTannote = {•} 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 = "", @@ -310,25 +351,61 @@ OPTannote = {•} 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 + + +@InProceedings{Gemignani07, + author = "L. 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 = "V. Skachek AND 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", @@ -341,15 +418,24 @@ OPTannote = {•} }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 = "W. Zhu AND Z. Zeng AND Dm. 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 ", @@ -366,8 +452,8 @@ OPTannote = {•} @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", @@ -392,17 +478,18 @@ OPTannote = {•} 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