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ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Companion matrix pencils for hermite interpolants
D. A. Aruliah, Robert M. Corless, Laureano Gonz&aa...
ISSAC
2007
Springer
132views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Structured matrix methods for polynomial root-finding
In this paper we discuss the use of structured matrix methods for the numerical approximation of the zeros of a univariate polynomial. In particular, it is shown that root-findin...
Luca Gemignani
ISSAC
2007
Springer
149views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Computing numerically with functions instead of numbers
Symbolic computation with functions of a real variable suffers from combinatorial explosion of memory and computation time. The alternative chebfun system for such computations is...
Lloyd N. Trefethen
ISSAC
2007
Springer
88views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Polynomial-time algorithm for Hilbert series of Borel type ideals
In this paper, it is shown that the Hilbert series of a Borel type ideal may be computed within a complexity which is polynomial in Dn where n + 1 is the number of unknowns and D ...
Amir Hashemi
ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
15 years 4 months ago
Symbolic summation with radical expressions
An extension of Karr’s summation algorithm is presented by which symbolic sums involving radical expressions can be simplified. We discuss the construction of appropriate diff...
Manuel Kauers, Carsten Schneider