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» On the Complexity of Real Root Isolation
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SASO
2007
IEEE
15 years 4 months ago
Root Cause Isolation for Self Healing in J2EE Environments
— The increasing complexity of distributed enterprise systems has made the task of managing these systems difficult and time consuming. The only way to simplify the management p...
Umesh Bellur, Amar Agrawal
TCS
2008
14 years 10 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
CORR
2010
Springer
179views Education» more  CORR 2010»
14 years 7 months ago
The DMM bound: multivariate (aggregate) separation bounds
In this paper we derive aggregate separation bounds, named after Davenport-MahlerMignotte (DMM), on the isolated roots of polynomial systems, specifically on the minimum distance ...
Ioannis Z. Emiris, Bernard Mourrain, Elias P. Tsig...
AMC
2007
90views more  AMC 2007»
14 years 10 months ago
Computing the square roots of matrices with central symmetry
: For computing square roots of a nonsingular matrix A, which are functions of A, two well known fast and stable algorithms, which are based on the Schur decomposition of A, were p...
Zhongyun Liu, Yulin Zhang, Rui Ralha
ESA
2004
Springer
139views Algorithms» more  ESA 2004»
15 years 3 months ago
Comparing Real Algebraic Numbers of Small Degree
We study polynomials of degree up to 4 over the rationals or a computable real subfield. Our motivation comes from the need to evaluate predicates in nonlinear computational geome...
Ioannis Z. Emiris, Elias P. Tsigaridas