Advances in Computer Algebra

In Honour of Sergei Abramov's' 70th Birthday, WWCA 2016, Waterloo, Ontario, Canada

Carsten Schneider, Eugene Zima (Herausgeber)

Buch | Softcover

XI, 280 Seiten

2019
Springer International Publishing (Verlag)
978-3-319-89241-2 (ISBN)

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This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC'2016), which was held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23-24, 2016. This workshop and the resulting book celebrate the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow), whose highly regarded and inspirational contributions to symbolic methods have become a crucial benchmark of computer algebra and have been broadly adopted by many Computer Algebra systems.

Sergei A. Abramov and Moulay A. Barkatou, On Strongly Non-Singular Polynomial Matrices.- Moulay Barkatou, Thomas Cluzeau and Carole El Bacha, On the Computation of Simple Forms and Regular Solutions of Linear Difference Systems.- Johannes Blumlein, Mark Round and Carsten Schneider, Refined Holonomic Summation Algorithms in Particle Physics.- Shaoshi Chen, Bivariate Extensions of Abramov's Algorithm for Rational Summation.- Hao Du, Hui Huang and Ziming Li, A q-Analogue of the Modified Abramov-Petkovsek Reduction.- Manuel Kauers and Doron Zeilberger, Factorization of C-finite Sequences.- Johannes Middeke and Carsten Schneider, Denominator Bounds for Systems of Recurrence Equations using Sigma-Extensions.- Evans Doe Ocansey and Carsten Schneider, Representing (q-)Hypergeometric Products and Mixed Versions in Difference Rings.- Anton A. Panferov, Linearly Satellite Unknowns in Linear Differential Systems.- Peter Paule and Silviu Radu, Rogers-Ramanujan Functions, Modular Functions, and Computer Algebra.

Erscheinungsdatum	12.03.2019
Reihe/Serie	Springer Proceedings in Mathematics & Statistics
Zusatzinfo	XI, 280 p. 2 illus., 1 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	445 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	combinatorics • Complexity • Computer Algebra • mathematical software • Special Functions • Symbolic integration • symbolic summation
ISBN-10	3-319-89241-X / 331989241X
ISBN-13	978-3-319-89241-2 / 9783319892412
Zustand	Neuware