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TCS
2008
13 years 7 months ago
Real algebraic numbers and polynomial systems of small degree
We present exact and complete algorithms based on precomputed Sturm-Habicht sequences, discriminants and invariants, that classify, isolate with rational points and compare the re...
Ioannis Z. Emiris, Elias P. Tsigaridas
MOC
1998
106views more  MOC 1998»
13 years 7 months ago
Computations of class numbers of real quadratic fields
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Anitha Srinivasan
ICCS
2005
Springer
14 years 1 months ago
Numerically Stable Real Number Codes Based on Random Matrices
Abstract — Error correction codes defined over realnumber and complex-number fields have been studied and recognized as useful in many applications. However, most real-number a...
Zizhong Chen, Jack Dongarra
AAECC
2007
Springer
143views Algorithms» more  AAECC 2007»
14 years 1 months ago
Constructions of Orthonormal Lattices and Quaternion Division Algebras for Totally Real Number Fields
Abstract. We describe some constructions of orthonormal lattices in totally real subfields of cyclotomic fields, obtained by endowing their ring of integers with a trace form. We...
B. A. Sethuraman, Frédérique E. Oggi...
RTCSA
2005
IEEE
14 years 1 months ago
Real-Time Scheduling of Sporadic Task Systems When the Number of Distinct Task Types Is Small
In some real-time application systems, there are only a few distinct kinds of tasks, each of which may be instantiated several times during runtime. The scheduling of such sporadi...
Sanjoy K. Baruah, Nathan Fisher