Search results for "continued fractions"

Hits ?▲	Authors	Title	Venue	Year	Link	Author keywords
3	Franky Backeljauw, Annie A. M. Cuyt	Algorithm 895: A continued fractions package for special functions.	ACM Trans. Math. Softw.	2009	DBLP DOI BibTeX RDF	CAS software, Maple, special functions, continued fractions
3	Zongduo Dai, Xiutao Feng	Classification and counting on multi-continued fractions and its application to multi-sequences.	Science in China Series F: Information Sciences	2007	DBLP DOI BibTeX RDF	multi-strict continued fractions, multi-sequences, linear complexity distribution
2	Annie A. M. Cuyt, Franky Backeljauw, Stefan Becuwe, Michel Colman, Tom Docx, Joris Van Deun	Continued Fractions for Special Functions: Handbook and Software.	Numerical Validation in Current Hardware Architectures	2008	DBLP DOI BibTeX RDF
2	Thomas Fernique	Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions.	DGCI	2008	DBLP DOI BibTeX RDF
2	Hanna Uscka-Wehlou	Continued Fractions and Digital Lines with Irrational Slopes.	DGCI	2008	DBLP DOI BibTeX RDF	theory of digital lines, irrational slope, quadratic surd, digital geometry, continued fraction
2	Dieaa I. Nassr, Hatem M. Bahig, Ashraf Bhery, Sameh S. Daoud	A new RSA vulnerability using continued fractions.	AICCSA	2008	DBLP DOI BibTeX RDF
2	Marcel G. de Bruin	'Classical' convergence theorems for generalized continued fractions.	Numerical Algorithms	2007	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) MSC 40A15
2	Vikram Sharma	Complexity of real root isolation using continued fractions.	ISSAC	2007	DBLP DOI BibTeX RDF	Davenport-Mahler bound, descartes rule of signs, polynomial real root isolation, continued fractions
2	Alkiviadis G. Akritas, Adam W. Strzebonski, Panagiotis S. Vigklas	Advances on the Continued Fractions Method Using Better Estimations of Positive Root Bounds.	CASC	2007	DBLP DOI BibTeX RDF
2	David R. Lester	Effective Continued Fractions.	IEEE Symposium on Computer Arithmetic	2001	DBLP DOI BibTeX RDF
2	Nick Howgrave-Graham	Approximate Integer Common Divisors.	CaLC	2001	DBLP DOI BibTeX RDF	Coppersmith's method, lattice attacks, approximations, continued fractions, Greatest common divisor
2	Helmut Prodinger, Wojciech Szpankowski	Philippe Flajolet's Research in Analysis of Algorithms and Combinatorics.	Algorithmica	1998	DBLP DOI BibTeX RDF	Digital sums, Rice's method, Trees, Generating functions, Continued fractions, Random generation, Singularity analysis, Mellin transform, Limit distribution
2	Eric R. Verheul, Henk C. A. van Tilborg	Cryptanalysis of 'Less Short' RSA Secret Exponents.	Appl. Algebra Eng. Commun. Comput.	1997	DBLP DOI BibTeX RDF	RSA system, Cryptanalysis, Continued fractions
2	Jean Vuillemin	Exact Real Computer Arithmetic with Continued Fractions.	IEEE Trans. Computers	1990	DBLP DOI BibTeX RDF	exact real computer arithmetic, computable real numbers, undecidable comparison, integer division, infinite 1/0, undefined 0/0 numbers, algebraic algorithm, transcendental algorithm, Gauss, LeLisp, products, digital arithmetic, positional, exponentials, number theory, special functions, continued fractions, arithmetic operations, logarithms, sums, trigonometric functions
2	Jean Vuillemin	Exact Real Computer Arithmetic with Continued Fractions.	LISP and Functional Programming	1988	DBLP DOI BibTeX RDF
2	Kishor S. Trivedi	On the Use of Continued Fractions for Digital Computer Arithmetic.	IEEE Trans. Computers	1977	DBLP DOI BibTeX RDF	Bilinear transformation, selection procedure, redundancy, computer arithmetic, hardware, continued fractions, logarithm, number system, Riccati equation, quadratic equation
1	Heesung Shin, Jiang Zeng	The symmetric and unimodal expansion of Eulerian polynomials via continued fractions.	Eur. J. Comb.	2012	DBLP DOI BibTeX RDF
1	Felice Iavernaro, Donato Trigiante	Continued fractions as dynamical systems.	Applied Mathematics and Computation	2012	DBLP DOI BibTeX RDF
1	Ali Kanso	Cryptosystems based on continued fractions.	Security and Communication Networks	2011	DBLP DOI BibTeX RDF
1	George E. Antoniou, Panagiota A. Katsalis	On the 1D and 2D Rogers-Ramanujan Continued Fractions.	Journal of Circuits, Systems, and Computers	2011	DBLP DOI BibTeX RDF
1	Helmut Prodinger	Continued Fractions Related to (t,q)-Tangents and Variants.	Electr. J. Comb.	2011	DBLP BibTeX RDF
1	Rafal Nowak	On the convergence acceleration of some continued fractions	CoRR	2011	DBLP BibTeX RDF
1	Ting Zhong, Jing-Jing Zhang, Liang Tang	A class of Cantor sets associated with the regular continued fractions.	Computers & Mathematics with Applications	2011	DBLP DOI BibTeX RDF
1	Ali H. Deger, Murat Besenk, Bahadir Ö. Güler	On suborbital graphs and related continued fractions.	Applied Mathematics and Computation	2011	DBLP DOI BibTeX RDF
1	Yves Gallot, Pieter Moree, Wadim Zudilin	The Erdős-Moser equation 1k+2k+...+(m-1)k=mk revisited using continued fractions.	Math. Comput.	2011	DBLP DOI BibTeX RDF
1	Laura Luzzi, Stefano Marmi, Hitoshi Nakada, Rie Natsui	Generalized Brjuno functions associated to alpha-continued fractions.	Journal of Approximation Theory	2010	DBLP DOI BibTeX RDF
1	Atef Masmoudi, William Puech, Mohamed Salim Bouhlel	An Efficient PRBG Based on Chaotic Map and Engel Continued Fractions.	JSEA	2010	DBLP DOI BibTeX RDF
1	Heesung Shin, Jiang Zeng	The q-tangent and q-secant numbers via continued fractions.	Eur. J. Comb.	2010	DBLP DOI BibTeX RDF
1	Renhong Wang, Jiang Qian	On branched continued fractions rational interpolation over pyramid-typed grids.	Numerical Algorithms	2010	DBLP DOI BibTeX RDF
1	Elias P. Tsigaridas	Improved complexity bounds for real root isolation using Continued Fractions	CoRR	2010	DBLP BibTeX RDF
1	Elias P. Tsigaridas	Improved complexity bounds for real root isolation using Continued Fractions	CoRR	2010	DBLP BibTeX RDF
1	O. N. Karpenkov	Constructing multidimensional periodic continued fractions in the sense of Klein.	Math. Comput.	2009	DBLP DOI BibTeX RDF
1	Thomas Fernique	Generation and recognition of digital planes using multi-dimensional continued fractions.	Pattern Recognition	2009	DBLP DOI BibTeX RDF
1	Hanna Uscka-Wehlou	Run-hierarchical structure of digital lines with irrational slopes in terms of continued fractions and the Gauss map.	Pattern Recognition	2009	DBLP DOI BibTeX RDF
1	Riad Masri, Ken Ichi Ono	Probabilities as Values of Modular Forms and Continued Fractions.	Int. J. Math. Mathematical Sciences	2009	DBLP DOI BibTeX RDF
1	Amadou Moctar Kane	On the use of Continued Fractions for Stream Ciphers.	Security and Management	2009	DBLP BibTeX RDF
1	Volker Strassen	Probability, algorithms and complexity.	SODA	2009	DBLP DOI BibTeX RDF
1	Elias P. Tsigaridas, Ioannis Z. Emiris	On the complexity of real root isolation using continued fractions.	Theor. Comput. Sci.	2008	DBLP DOI BibTeX RDF
1	Vikram Sharma	Complexity of real root isolation using continued fractions.	Theor. Comput. Sci.	2008	DBLP DOI BibTeX RDF
1	Xue-Hai Hu, Bao-Wei Wang, Jun Wu, Yue-Li Yu	Cantor sets determined by partial quotients of continued fractions of Laurent series.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
1	Li-Ping Wang 0001	Lattice basis reduction algorithms and multi-dimensional continued fractions.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
1	Alain Lasjaunias	Continued fractions for hyperquadratic power series over a finite field.	Finite Fields and Their Applications	2008	DBLP DOI BibTeX RDF
1	Emrah Kilic	Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions.	Applied Mathematics and Computation	2008	DBLP DOI BibTeX RDF
1	Xiuyuan Yu, Zhonghua Shen, Hui Chen	The rational approximations of a class of continued fractions.	TMFCS	2008	DBLP BibTeX RDF
1	Satyadev Nandakumar	An effective ergodic theorem and some applications.	STOC	2008	DBLP DOI BibTeX RDF	ergodic theorem, algorithmic randomness
1	Abderrahmane Nitaj	Another Generalization of Wiener's Attack on RSA.	AFRICACRYPT	2008	DBLP DOI BibTeX RDF	Coppersmith’s method, Smooth numbers, Cryptanalysis, RSA, ECM
1	Boris Adamczewski, Jean-Paul Allouche	Reversals and palindromes in continued fractions.	Theor. Comput. Sci.	2007	DBLP DOI BibTeX RDF
1	Alfredo Deaño, Javier Segura	Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions.	Math. Comput.	2007	DBLP DOI BibTeX RDF
1	B. Krishna Kumar, A. Krishnamoorthy, S. Pavai Madheswari, S. Sadiq Basha	Transient analysis of a single server queue with catastrophes, failures and repairs.	Queueing Syst.	2007	DBLP DOI BibTeX RDF	Mathematics Subject Classification (2000) 60K25, 90B22
1	Julien Bernat	Continued fractions and numeration in the Fibonacci base.	Discrete Mathematics	2006	DBLP DOI BibTeX RDF
1	Philippe Flajolet	Combinatorial aspects of continued fractions.	Discrete Mathematics	2006	DBLP DOI BibTeX RDF
1	Ira M. Gessel, Guoce Xin	The Generating Function of Ternary Trees and Continued Fractions.	Electr. J. Comb.	2006	DBLP BibTeX RDF
1	Rafal Nowak	A method of convergence acceleration of some continued fractions.	Numerical Algorithms	2006	DBLP DOI BibTeX RDF
1	Elias P. Tsigaridas, Ioannis Z. Emiris	Univariate polynomial real root isolation: Continued Fractions revisited	CoRR	2006	DBLP BibTeX RDF
1	Qing-Hu Hou, Toufik Mansour	Horse paths, restricted 132-avoiding permutations, continued fractions, and Chebyshev polynomials.	Discrete Applied Mathematics	2006	DBLP DOI BibTeX RDF
1	Nayandeep Deka Baruah, Nipen Saikia	Modular relations and explicit values of Ramanujan-Selberg continued fractions.	Int. J. Math. Mathematical Sciences	2006	DBLP DOI BibTeX RDF
1	Elias P. Tsigaridas, Ioannis Z. Emiris	Univariate Polynomial Real Root Isolation: Continued Fractions Revisited.	ESA	2006	DBLP DOI BibTeX RDF
1	Alfred J. van der Poorten	Determined Sequences, Continued Fractions, and Hyperelliptic Curves.	ANTS	2006	DBLP DOI BibTeX RDF
1	Luis Roçadas, Johannes Schoißengeier	An Explicit Formula for the L2-Discrepancy of (nalpha)-Sequences.	Computing	2006	DBLP DOI BibTeX RDF	Weyl sequence, distribution mod 1, Discrepancy, continued fractions
1	Ellen Jochemsz, Benne de Weger	A Partial Key Exposure Attack on RSA Using a 2-Dimensional Lattice.	ISC	2006	DBLP DOI BibTeX RDF	partial key exposure, inhomogeneous diophantine approximation, cryptanalysis, RSA, lattice basis reduction
1	Alkiviadis G. Akritas, Adam W. Strzebonski, Panagiotis S. Vigklas	Implementations of a New Theorem for Computing Bounds for Positive Roots of Polynomials.	Computing	2006	DBLP DOI BibTeX RDF	positive roots, polynomial real root isolation, Upper bounds
1	Stefan Becuwe, Annie A. M. Cuyt	On the fast solution of Toeplitz-block linear systems arising in multivariate approximation theory.	Numerical Algorithms	2006	DBLP DOI BibTeX RDF	AMS subject classification 15A23, 41A21, 65G20, 65F05
1	Jacques Justin	Episturmian morphisms and a Galois theorem on continued fractions.	ITA	2005	DBLP DOI BibTeX RDF
1	Sergi Elizalde, Toufik Mansour	Restricted Motzkin permutations, Motzkin paths, continued fractions, and Chebyshev polynomials.	Discrete Mathematics	2005	DBLP DOI BibTeX RDF
1	Kwankyu Lee	Continued fractions for linear fractional transformations of power series.	Finite Fields and Their Applications	2005	DBLP DOI BibTeX RDF
1	J. L. Bastardo, S. Abraham Ibrahim, Pedro Fernández de Córdoba, J. F. Urchueguía Schölzel, Yu. L. Ratis	Evaluation of Fresnel integrals based on the continued fractions method.	Appl. Math. Lett.	2005	DBLP DOI BibTeX RDF
1	Takao Komatsu	An algorithm of infinite sums representations and Tasoev continued fractions.	Math. Comput.	2005	DBLP DOI BibTeX RDF
1	Lev D. Pustylnikov, Tatiana Lokot, Roman L. Pustylnikov	Discrete Rotation Maps and Generalized Continued Fractions.	Algorithmic Algebra and Logic	2005	DBLP BibTeX RDF
1	Ron Steinfeld, Scott Contini, Huaxiong Wang, Josef Pieprzyk	Converse Results to the Wiener Attack on RSA.	Public Key Cryptography	2005	DBLP DOI BibTeX RDF
1	François de Vieilleville, Jacques-Olivier Lachaud, Fabien Feschet	Maximal Digital Straight Segments and Convergence of Discrete Geometric Estimators.	SCIA	2005	DBLP DOI BibTeX RDF
1	Qing-Hu Hou, Alain Lascoux, Yan-Ping Mu	Continued Fractions for Rogers-Szegö Polynomials.	Numerical Algorithms	2004	DBLP DOI BibTeX RDF
1	Vadim Tropashko	Nested Intervals Tree Encoding with Continued Fractions	CoRR	2004	DBLP BibTeX RDF
1	Andrej Dujella	Continued fractions and RSA with small secret exponent	CoRR	2004	DBLP BibTeX RDF
1	Toufik Mansour	Continued Fractions, Statistics, And Generalized Patterns.	Ars Comb.	2004	DBLP BibTeX RDF
1	Mitchell A. Harris, Edward M. Reingold	Line drawing, leap years, and Euclid.	ACM Comput. Surv.	2004	DBLP DOI BibTeX RDF	Bresenham's algorithm, Euclid's algorithm, calendar algorithms, leap years, scan-line conversion, line drawing, continued fractions, greatest common divisor
1	Sergej B. Gashkov, Igor Gashkov	The Berlekamp-Massey Algorithm. A Sight from Theory of Pade Approximants and Orthogonal Polynomials.	International Conference on Computational Science	2004	DBLP DOI BibTeX RDF
1	Zongduo Dai, Xiutao Feng, Junhui Yang	Multi-continued Fraction Algorithm and Generalized B-M Algorithm over F2.	SETA	2004	DBLP DOI BibTeX RDF
1	Xiutao Feng, Zongduo Dai	Expected Value of the Linear Complexity of Two-Dimensional Binary Sequences.	SETA	2004	DBLP DOI BibTeX RDF
1	Tapani Matala-aho	On the values of continued fractions: q-series.	Journal of Approximation Theory	2003	DBLP DOI BibTeX RDF
1	Huan-xi Zhao, Gongqin Zhu	Matrix-valued continued fractions.	Journal of Approximation Theory	2003	DBLP DOI BibTeX RDF
1	Stefan Paszkowski	Convergence Acceleration of Some Continued Fractions.	Numerical Algorithms	2003	DBLP DOI BibTeX RDF
1	Jaemin Ahn, Sungkwon Kang, YongHoon Kwon	A Flexible Inverse Laplace Transform Algorithm and its Application.	Computing	2003	DBLP DOI BibTeX RDF	Inverse Laplace transform, transport equation, porous media, time-integration
1	Mirta María Castro Smirnova	Convergence Conditions for Vector Stieltjes Continued Fractions.	Journal of Approximation Theory	2002	DBLP DOI BibTeX RDF
1	Petter Brändén, Anders Claesson, Einar Steingrímsson	Catalan continued fractions and increasing subsequences in permutations.	Discrete Mathematics	2002	DBLP DOI BibTeX RDF
1	Toufik Mansour	Continued Fractions and Generalized Patterns.	Eur. J. Comb.	2002	DBLP DOI BibTeX RDF
1	Eric S. Egge, Toufik Mansour	Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials.	Electr. J. Comb.	2002	DBLP BibTeX RDF
1	Alfred J. van der Poorten, Xuan Chuong Tran	Periodic Continued Fractions in Elliptic Function Fields.	ANTS	2002	DBLP DOI BibTeX RDF
1	Friedrich Eisenbrand	Short vectors of planar lattices via continued fractions.	Inf. Process. Lett.	2001	DBLP DOI BibTeX RDF
1	Sergei Khrushchev	Schur's Algorithm, Orthogonal Polynomials, and Convergence of Wall's Continued Fractions in L2(T).	Journal of Approximation Theory	2001	DBLP DOI BibTeX RDF
1	Jerzy Browkin	Continued fractions in local fields, II.	Math. Comput.	2001	DBLP DOI BibTeX RDF
1	Pierre Arnoux, Valérie Berthé, Hiromi Ei, Shunji Ito	Tilings, Quasicrystals, Discrete Planes, Generalized Substitutions, and Multidimensional Continued Fractions.	DM-CCG	2001	DBLP BibTeX RDF
1	Liping Wang 0005	Euclidean Modules and Multisequence Synthesis.	AAECC	2001	DBLP DOI BibTeX RDF
1	Didier Arquès, Jean François Béraud	Rooted maps on orientable surfaces, Riccati's equation and continued fractions.	Discrete Mathematics	2000	DBLP DOI BibTeX RDF
1	M. Z. Arslanov	Continued fractions in optimal cutting of a rectangular sheet into equal small rectangles.	European Journal of Operational Research	2000	DBLP DOI BibTeX RDF
1	Mahendra Jani, Robert G. Rieper	Continued Fractions and Catalan Problems.	Electr. J. Comb.	2000	DBLP BibTeX RDF
1	Toufik Mansour, Alek Vainshtein	Restricted Permutations, Continued Fractions, and Chebyshev Polynomials.	Electr. J. Comb.	2000	DBLP BibTeX RDF
1	Geon Ho Choe	Generalized continued fractions.	Applied Mathematics and Computation	2000	DBLP DOI BibTeX RDF
1	Aaron Robertson, Herbert S. Wilf, Doron Zeilberger	Permutation Patterns and Continued Fractions.	Electr. J. Comb.	1999	DBLP BibTeX RDF
1	Joseph Abate, Ward Whitt	Computing Laplace Transforms for Numerical Inversion Via Continued Fractions.	INFORMS Journal on Computing	1999	DBLP DOI BibTeX RDF
1	Octavian Soldea, Azaria Paz	Algorithms on Continued Fractions.	Jewels are Forever	1999	DBLP BibTeX RDF