## Found 303 Documents (Results 1–100)

100
MathJax

Full Text:

Full Text:

### The depth of continued fraction expansion for some classes of rational functions. (English)Zbl 1484.11010

MSC:  11A55 11A05
Full Text:

Full Text:

Full Text:

### On the finiteness and periodicity of the $$p$$-adic Jacobi-Perron algorithm. (English)Zbl 1455.11099

MSC:  11J70 12J25 11J61
Full Text:

### Extension of the Lanczos-Phillips algorithm with Laurent biorthogonal polynomials and its application to the Thron continued fractions. (English)Zbl 07158295

MSC:  65-XX 41-XX
Full Text:

### A continued fractional recurrence algorithm for generalized inverse tensor Padé approximation. (Chinese. English summary)Zbl 1449.41011

MSC:  41A21 15A09
Full Text:

### The karyon algorithm for expansion in multidimensional continued fractions. (English. Russian original)Zbl 1440.40002

J. Math. Sci., New York 242, No. 4, 487-508 (2019); translation from Zap. Nauchn. Semin. POMI 469, 32-63 (2018).
Full Text:

Full Text:

Full Text:

### Continued fraction algorithm for Sturmian colorings of trees. (English)Zbl 1426.05045

MSC:  05C15 05C05 05C85
Full Text:

Full Text:

### Application of the Lanczos-Phillips algorithm to continued fractions and its extension with orthogonal polynomials. (English)Zbl 07037367

MSC:  65-XX 94-XX
Full Text:

### The Brun gcd algorithm in high dimensions is almost always subtractive. (English)Zbl 1427.11143

MSC:  11Y16 68W40
Full Text:

### A truncated indefinite Stieltjes moment problem. (English. Ukrainian original)Zbl 1370.47013

J. Math. Sci., New York 224, No. 4, 509-529 (2017); translation from Ukr. Mat. Visn. 13, No. 4, 473-498 (2016).
MSC:  47A57 30E05
Full Text:

Full Text:

MSC:  11A05
Full Text:

MSC:  37M25
Full Text:

MSC:  11Y55
Full Text:

### On the very accurate numerical evaluation of the generalized Fermi-Dirac integrals. (English)Zbl 1378.65073

MSC:  65D30 65Z05 85A05
Full Text:

Full Text:

Full Text:

### A combinatorial approach to products of Pisot substitutions. (English)Zbl 1378.37036

MSC:  37B50 37B10 28A80 37A45 11K16 52C22
Full Text:

Full Text:

### Lunar rhythms and strange signatures. (English)Zbl 1366.70014

MSC:  70F07 11A55

Full Text:

### An algorithm for constructing multidimensional continued fractions and linear dependence of numbers. (English. Russian original)Zbl 1370.11081

Math. Notes 99, No. 1, 37-45 (2016); translation from Mat. Zametki 99, No. 1, 26-34 (2016).
MSC:  11J70 11Y16
Full Text:

### Hölder regularity of the solutions of the cohomological equation for Roth type interval exchange maps. (English)Zbl 1360.37101

MSC:  37E05 37A20
Full Text:

### Shortest division chains in unique factorization domains. (English)Zbl 1411.11137

MSC:  11Y16 13F07
Full Text:

### A note on the computation of the fraction of smallest denominator in between two irreducible fractions. (English)Zbl 1372.11008

MSC:  11A55 11Y40
Full Text:

Full Text:

### On sequences, rational functions and decomposition. (English)Zbl 1400.11160

MSC:  11T71 94B25 13F99
Full Text:

### Algorithm for summation of divergent continued fractions and some applications. (English. Russian original)Zbl 1330.40001

Comput. Math. Math. Phys. 55, No. 4, 549-563 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 4, 558-573 (2015).
Full Text:

### Diagonal changes for surfaces in hyperelliptic components. (English)Zbl 1326.37023

Reviewer: Anke Pohl (Bonn)
MSC:  37D40 11J70 37B10 37E35 68R15 37A45 37E05
Full Text:

### On the periodic writing of cubic irrationals and a generalization of Rédei functions. (English)Zbl 1322.11079

MSC:  11J70 11J68 11B37
Full Text:

### End-symmetric continued fractions and quadratic congruences. (English)Zbl 1364.11016

MSC:  11A55 11A05
Full Text:

Full Text:

### Interval exchange maps and their Diophantine conditions. (English)Zbl 1376.37081

MSC:  37E05 11J70 37A45 37E10

Full Text:

### Mean field variational Bayes for continuous sparse signal shrinkage: pitfalls and remedies. (English)Zbl 1298.62050

MSC:  62F15 62J07
Full Text:

Full Text:

### On matrix decomposition of one reduced cubic irrational. (Russian. English summary)Zbl 1429.11128

MSC:  11J72 11J70
Full Text:

### Outcomes of partizan Euclid. (English)Zbl 1332.91032

MSC:  91A46 11A05 11B75
Full Text:

MSC:  11K55
Full Text:

### Brun meets Selmer. (English)Zbl 1283.11105

MSC:  11J70 11K50 28D99
Full Text:

### Exactness of the Euclidean algorithm and of the Rauzy induction on the space of interval exchange transformations. (English)Zbl 1291.37015

MSC:  37B10 37A45 11Y65
Full Text:

Full Text:

### Krylov subspace methods. Principles and analysis. (English)Zbl 1263.65034

Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 978-0-19-965541-0/hbk). xv, 391 p. (2013).
MSC:  65F10 65-02

### The multidimensional generalization of Bauer’s $$g$$-algorithm. (Ukrainian. English, Russian summaries)Zbl 1348.11007

MSC:  11A55 65D15 11J70

### Some aspects of multidimensional continued fraction algorithms. (English)Zbl 1279.11072

MSC:  11J70 11J61 11Y65

### New algorithm of continued fractions related to real algebraic number fields of degree $$\leq 5$$. (English)Zbl 1279.11073

MSC:  11J70 11Y65
Full Text:

### A new method of constructing vector-valued rational interpolation function. (Chinese. English summary)Zbl 1249.65022

MSC:  65D05 41A05 41A20

### Continued fractions for quadratic elements in formal power series. (English)Zbl 1262.11073

MSC:  11J70 11J61
Full Text:

Full Text:

### Diophantine approximation in the field $$\mathbb Q(i\sqrt 2)$$. (English)Zbl 1229.11099

MSC:  11J06 11J70
Full Text:

### Brun expansions of stepped surfaces. (English)Zbl 1236.11011

MSC:  11A55 52B99 68R15
Full Text:

### An asymptotic formula for the expectation of finite elliptic Minkowski fractions. (Russian. English summary)Zbl 1320.11005

MSC:  11A55 11A05
Full Text:

### On simultaneous rational approximation to $$(\alpha,\alpha^2)^{\text{T}}$$ with $$\alpha^3+kd \alpha-d=0$$. (Chinese. English summary)Zbl 1240.11074

MSC:  11J70 11J13

### The mean number of steps in the Euclidean algorithm with odd partial quotients. (English. Russian original)Zbl 1257.11007

Math. Notes 88, No. 4, 574-584 (2010); translation from Mat. Zametki 88, No. 4, 594-604 (2010).
MSC:  11A55 11K50 11N37
Full Text:

Full Text:

### On periodic continued fractions, Pell equation, and Fermat’s challenge numbers. (English)Zbl 1241.11031

MSC:  11D09 11A55
Full Text:

Full Text:

### An introduction to Littlewood’s conjecture. (English)Zbl 1303.11075

Bugeaud, Yann (ed.) et al., Dynamical systems and Diophantine approximation. Paris: Société Mathématique de France (ISBN 978-2-85629-303-4/pbk). Séminaires et Congrès 19, 127-150 (2009).

### A new multidimensional continued fraction algorithm. (English)Zbl 1217.11067

MSC:  11J70 11R16 11Y65
Full Text:

### The average length of reduced regular continued fractions. (English. Russian original)Zbl 1223.11010

Sb. Math. 200, No. 8, 1181-1214 (2009); translation from Mat. Sb. 200, No. 8, 79-110 (2009).
MSC:  11A55 11K50
Full Text:

### The mean number of steps in the Euclidean algorithm with least absolute value remainders. (English. Russian original)Zbl 1208.11014

Math. Notes 85, No. 1, 142-145 (2009); translation from Mat. Zametki 85, No. 1, 153-156 (2009).
Full Text:

### An algorithm of Thiele-Werner rational interpolation by dividing interpolation nodes into subsets. (Chinese. English summary)Zbl 1199.65024

MSC:  65D05 41A20

### Characterizing rational elements by two continued fractions in the prime-adic function field. (English)Zbl 1169.11004

MSC:  11A55 11F70

### On some oscillating sums. (English)Zbl 1247.11098

MSC:  11K31 11K38
Full Text:

### Asymptotic behaviour of the first and second moments for the number of steps in the Euclidean algorithm. (English. Russian original)Zbl 1211.11009

Izv. Math. 72, No. 5, 1023-1059 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 5, 189-224 (2008).
MSC:  11A55 11K65 11N37
Full Text:

### Multidimensional continued fractions and a Minkowski function. (English)Zbl 1170.11020

MSC:  11J70 37A45
Full Text:

### Pell equation. IV: Fastest algorithm for solving the Pell equation. (English)Zbl 1180.11008

MSC:  11D09 11Y50 05C90

### Continuant, caterpillar, and topological index $$Z$$. Fastest algorithm for degrading a continued fraction. (English)Zbl 1180.11007

MSC:  11B39 11A55 05C90

### Orthogonal polynomials: the first minutes. (English)Zbl 1141.30001

Gesztesy, Fritz (ed.) et al., Spectral theory and mathematical physics. A festschrift in honor of Barry Simon’s 60th birthday. Ergodic Schrödinger operators, singular spectrum, orthogonal polynomials, and inverse spectral theory. Based on the SimonFest conference, Pasadena, CA, USA, March 27–31, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4249-2/pt.2; 978-0-8218-3783-2/set). Proceedings of Symposia in Pure Mathematics 76, Pt. 2, 875-905 (2007).

### Berlekamp-Massey algorithm, continued fractions, Padé approximations, and orthogonal polynomials. (English. Russian original)Zbl 1206.94114

Math. Notes 79, No. 1, 41-54 (2006); translation from Mat. Zametki 79, No. 1, 45-59 (2006).
MSC:  94B35 11A55
Full Text:

### Continued fraction algorithms for interval exchange maps: an introduction. 2nd printing. (English)Zbl 1127.28011

Cartier, Pierre (ed.) et al., Frontiers in number theory, physics, and geometry I. On random matrices, zeta functions, and dynamical systems. Papers from the meeting, Les Houches, France, March 9–21, 2003. Berlin: Springer (ISBN 978-3-540-23189-9/hbk). 401-435 (2006).
MSC:  28D05 37A25 11J70 32G15 54H20

### Some recognizable forms of simple continued fractions. II. (English)Zbl 1119.11009

MSC:  11A55 11J70 11Y16

### Osculatory rational Hermite-like interpolation. (Chinese. English summary)Zbl 1110.65013

MSC:  65D05 41A05 41A20

### A new symmetric two-dimensional algorithm. (English)Zbl 1156.11034

MSC:  11K55 11J70
Full Text:

### Analysis and geometry of a GCD-algorithm. (English)Zbl 1162.11364

Gruber, Peter M. (ed.), Proceedings of the V. international conference of stochastic geometry, convex bodies, empirical measures and applications to engineering, medical and earth sciences, Mondello (Palermo), Italy, September 6–11, 2004. Palermo: Circolo Matemático di Palermo. Supplemento ai Rendiconti del Circolo Matemático di Palermo. Serie II 77, 541-552 (2006).

### Multi-continued fraction algorithm and generalized B–M algorithm over $$\mathbb F_{q}$$. (English)Zbl 1107.94010

MSC:  94A55 11A55 94A60
Full Text:

### A method of convergence acceleration of some continued fractions. (English)Zbl 1095.65003

MSC:  65B05 40A15
Full Text:

### Continued fractions. (English)Zbl 1161.11028

Hackensack, NJ: World Scientific (ISBN 981-256-477-2/hbk). xiii, 245 p. (2006).

### Real quadratic extensions of the rational function field in characteristic two. (English)Zbl 1161.11406

Aubry, Yves (ed.) et al., Arithmetic, geometry and coding theory (AGCT 2003). Selected papers of the European school “Algebraic geometry and information theory” and the 9th international conference “Arithmetic, geometry and coding theory”, Luminy, France, May 19–23, 2003. Paris: Société Mathématique de France (ISBN 2-85629-175-9/pbk). Séminaires et Congrès 11, 143-169 (2005).
MSC:  11R58 11A55 11R29
Full Text:

### A dual approach to triangle sequences: a multidimensional continued fraction algorithm. (English)Zbl 1102.11034

MSC:  11J70 11K55 37A50
Full Text:

Full Text:

Full Text:

### Solution of matrix equations by branching continued fractions. (English. Russian original)Zbl 1101.68992

Cybern. Syst. Anal. 40, No. 1, 17-27 (2004); translation from Kibern. Sist. Anal. 2004, No. 1, 22-33 (2004).
MSC:  68W30
Full Text:

### On inhomogeneous Diophantine approximation and the Borwein’s algorithm. (English)Zbl 1052.11049

MSC:  11J20 11J70

Full Text:

Full Text:

### A Neville-like method via continued fractions. (English)Zbl 1040.65006

MSC:  65D05 41A20 41A05
Full Text:

### Computation of vector valued blending rational interpolants. (English)Zbl 1045.41010

MSC:  41A20 65D05

all top 5

all top 5

all top 5

all top 3

all top 3