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» Solution of a system of linear equations with fuzzy numbers
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ISSAC
2009
Springer
172views Mathematics» more  ISSAC 2009»
14 years 2 months ago
Liouvillian solutions of irreducible linear difference equations
In this paper we give a new algorithm to compute Liouvillian solutions of linear difference equations. Compared to the prior algorithm by Hendriks and Singer, our main contributi...
Yongjae Cha, Mark van Hoeij
JSC
2010
70views more  JSC 2010»
13 years 2 months ago
Liouvillian solutions of linear difference-differential equations
For a field k with an automorphism and a derivation , we introduce the notion of liouvillian solutions of linear difference-differential systems {(Y ) = AY, (Y ) = BY } over k an...
Ruyong Feng, Michael F. Singer, Min Wu
EUSFLAT
2007
129views Fuzzy Logic» more  EUSFLAT 2007»
13 years 9 months ago
Advanced Inference in Fuzzy Systems by Rule Base Compression
This paper describes a method for formal compression of fuzzy systems. This method compresses a fuzzy system with an arbitrarily large number of rules into a smaller fuzzy system ...
Alexander Gegov, Neelamugilan Gobalakrishnan
APPML
2006
71views more  APPML 2006»
13 years 7 months ago
The polynomial solution to the Sylvester matrix equation
For when the Sylvester matrix equation has a unique solution, this work provides a closed form solution, which is expressed as a polynomial of known matrices. In the case of non-u...
Qingxi Hu, Daizhan Cheng
CRYPTO
2001
Springer
152views Cryptology» more  CRYPTO 2001»
13 years 12 months ago
Secure Distributed Linear Algebra in a Constant Number of Rounds
Consider a network of processors among which elements in a finite field K can be verifiably shared in a constant number of rounds. Assume furthermore constant-round protocols ar...
Ronald Cramer, Ivan Damgård