Padé and rational approximations to systems of functions and their arithmetic applications

Termination analysis of floating-point programs using parameterizable rational approximations

Proceedings of the 31st Annual ACM Symposium on Applied Computing - SAC '16 ◽

10.1145/2851613.2851834 ◽

2016 ◽

Cited By ~ 3

Author(s):

Fonenantsoa Maurica ◽

Frédéric Mesnard ◽

Étienne Payet

Keyword(s):

Floating Point ◽

Rational Approximations ◽

Termination Analysis

Macromodeling of I/O Buffers via Compressed Tensor Representations and Rational Approximations

IEEE Transactions on Components Packaging and Manufacturing Technology ◽

10.1109/tcpmt.2016.2602212 ◽

2016 ◽

Vol 6 (10) ◽

pp. 1522-1534 ◽

Cited By ~ 5

Author(s):

Gianni Signorini ◽

Claudio Siviero ◽

Stefano Grivet-Talocia ◽

Igor S. Stievano

Keyword(s):

Rational Approximations ◽

Tensor Representations

The Use of Rational Approximations in the Calculation of Flows with Detached Shocks

Journal of the Aerospace Sciences ◽

10.2514/8.8643 ◽

1960 ◽

Vol 27 (7) ◽

pp. 559-560 ◽

Cited By ~ 4

Author(s):

A. H. Van Tuyl

Keyword(s):

Rational Approximations

On Rational Approximations of Groups of Operators

SIAM Journal on Numerical Analysis ◽

10.1137/0717013 ◽

1980 ◽

Vol 17 (1) ◽

pp. 119-125 ◽

Cited By ~ 7

Author(s):

Philip Brenner ◽

Vidar Thomée

Keyword(s):

Rational Approximations

Surprisingly Accurate Rational Approximations

Mathematics Magazine ◽

10.1080/0025570x.2002.11953151 ◽

2002 ◽

Vol 75 (4) ◽

pp. 307-310 ◽

Cited By ~ 1

Author(s):

Tom M. Apostol ◽

Mamikon A. Mnatsakanian

Keyword(s):

Rational Approximations

Further results on rational approximations of L/sup 1/-optimal controllers

Proceedings of 1994 American Control Conference - ACC '94 ◽

10.1109/acc.1994.735079 ◽

2005 ◽

Cited By ~ 1

Author(s):

Zi-Qin Wang ◽

M. Sznaier ◽

F. Blanchini

Keyword(s):

Rational Approximations ◽

Optimal Controllers

Rational approximations to the solution of the blunt-body & related problems

Padé Approximants Method and Its Applications to Mechanics - Lecture Notes in Physics ◽

10.1007/bfb0015665 ◽

2005 ◽

pp. 165-188

Author(s):

L. W. Schwartz

Keyword(s):

Blunt Body ◽

Rational Approximations

On Rational Approximations To An Irrational Number

Collected Mathematical Papers ◽

10.1007/978-3-0348-9339-8_15 ◽

1984 ◽

pp. 161-176

Author(s):

Alexander Ostrowski

Keyword(s):

Irrational Number ◽

Rational Approximations

On rational approximations to linear forms in values of $G$-functions

Proceedings of the Japan Academy Series A Mathematical Sciences ◽

10.3792/pjaa.70.27 ◽

1994 ◽

Vol 70 (1) ◽

pp. 27-30 ◽

Cited By ~ 1

Author(s):

Makoto Nagata

Keyword(s):

Rational Approximations ◽

Linear Forms

CONTINUED FRACTIONS, INTERMEDIATE FRACTIONS AND THEIR RELATION TO THE BEST APPROXIMATIONS

Journal of Science and Arts ◽

10.46939/j.sci.arts-20.3-a05 ◽

2020 ◽

Vol 20 (3) ◽

pp. 545-560

Author(s):

LUKA MILINKOVIC ◽

BRANKO MALESEVIC ◽

BOJAN BANJAC

Keyword(s):

Continued Fractions ◽

Continued Fraction ◽

Rational Approximations ◽

Best Approximations ◽

Current State ◽

The Subject ◽

State Of Art

The subject of this paper is the current state of art in theory of continued fractions, intermediate fractions and their relation to the best rational approximations of the first and second kind. The paper provides an overview of the some well known and even some new properties of continued fractions, and the various terms associated with them. In addition to intermediate fractions, paper considers the fine intermediate fractions and gave some statements to position these fractions in the continued fraction representation of numbers.