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CORR
2010
Springer
118views Education» more  CORR 2010»
15 years 6 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
CORR
2010
Springer
144views Education» more  CORR 2010»
15 years 4 months ago
Kolmogorov Complexity in perspective. Part I: Information Theory and Randomnes
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff
CORR
2010
Springer
111views Education» more  CORR 2010»
15 years 6 months ago
A Tight Bound on the Performance of a Minimal-Delay Joint Source-Channel Coding Scheme
An analog source is to be transmitted across a Gaussian channel in more than one channel use per source symbol. This paper derives a lower bound on the asymptotic mean squared erro...
Marius Kleiner, Bixio Rimoldi
CORR
2010
Springer
135views Education» more  CORR 2010»
15 years 6 months ago
Cryptanalysis of an Elliptic Curve-based Signcryption Scheme
The signcryption is a relatively new cryptographic technique that is supposed to fulfill the functionalities of encryption and digital signature in a single logical step. Although...
Mohsen Toorani, Ali Asghar Beheshti Shirazi
CORR
2010
Springer
85views Education» more  CORR 2010»
15 years 6 months ago
Partial Denominator Bounds for Partial Linear Difference Equations
We investigate which polynomials can possibly occur as factors in the denominators of rational solutions of a given partial linear difference equation (PLDE). Two kinds of polynom...
Manuel Kauers, Carsten Schneider