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» A Note on Karr's Algorithm
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ICALP
2004
Springer
13 years 10 months ago
A Note on Karr's Algorithm
We give a simple formulation of Karr’s algorithm for computing all affine relationships in affine programs. This simplified algorithm runs in time O(nk3 ) where n is the progr...
Markus Müller-Olm, Helmut Seidl
ISSAC
2007
Springer
105views Mathematics» more  ISSAC 2007»
13 years 11 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
GECCO
2003
Springer
13 years 10 months ago
Genetic Algorithm Frequency Domain Optimization of an Anti-Resonant Electromechanical Controller
The new standard for actuators in the aerospace industry is electromechanical actuators. This paper describes an approach whereby PID and DFF controllers are used in unison to eff...
Charles L. Karr, Douglas A. Scott
GECCO
2003
Springer
143views Optimization» more  GECCO 2003»
13 years 10 months ago
Quadrilateral Mesh Smoothing Using a Steady State Genetic Algorithm
Abstract. This paper investigates the use of a steady state genetic algorithm (GA) to perform quadrilateral finite element mesh smoothing. GAS short for genetic algorithm smoother...
Mike Holder, Charles L. Karr
ISSAC
2004
Springer
98views Mathematics» more  ISSAC 2004»
13 years 10 months ago
Symbolic summation with single-nested sum extensions
We present a streamlined and refined version of Karr’s summation algorithm. Karr’s original approach constructively decides the telescoping problem in ΠΣ-fields, a very ge...
Carsten Schneider