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CASC
2007
Springer
114views Mathematics» more  CASC 2007»
15 years 1 months ago
Analytic Solutions of Linear Difference Equations, Formal Series, and Bottom Summation
We consider summation of consecutive values (v), (v +1), . . . , (w) of a meromorphic function (z) where v, w ZZ. We assume that (z) satisfies a linear difference equation L(y) = ...
Sergei A. Abramov, Marko Petkovsek
CASC
2007
Springer
133views Mathematics» more  CASC 2007»
15 years 4 months ago
Algebraic Visualization of Relations Using RelView
For graphs there exist highly elaborated drawing algorithms. We concentrate here in an analogous way on visualizing relations represented as Boolean matrices as, e.g., in RelView. ...
Rudolf Berghammer, Gunther Schmidt
CASC
2007
Springer
112views Mathematics» more  CASC 2007»
15 years 1 months ago
An Efficient LLL Gram Using Buffered Transformations
In this paper we introduce an improved variant of the LLL algorithm. Using the Gram matrix to avoid expensive correction steps necessary in the Schnorr-Euchner algorithm and introd...
Werner Backes, Susanne Wetzel
CASC
2007
Springer
124views Mathematics» more  CASC 2007»
15 years 1 months ago
A Full System of Invariants for Third-Order Linear Partial Differential Operators in General Form
We find a full system of invariants with respect to gauge transformations L g-1 Lg for third-order hyperbolic linear partial differential operators on the plane. The operators are...
Ekaterina Shemyakova, Franz Winkler
CASC
2007
Springer
112views Mathematics» more  CASC 2007»
15 years 4 months ago
Polynomial Division Using Dynamic Arrays, Heaps, and Packed Exponent Vectors
A common way of implementing multivariate polynomial multiplication and division is to represent polynomials as linked lists of terms sorted in a term ordering and to use repeated ...
Michael B. Monagan, Roman Pearce