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» A Type-Coercion Problem in Computer Algebra
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FUIN
2010
93views more  FUIN 2010»
13 years 6 months ago
SAT as a Programming Environment for Linear Algebra
In this paper we present an application of the propositional SATisfiability environment to computing some simple orthogonal matrices and some interesting tasks in the area of cry...
Marian Srebrny, Lidia Stepien
JC
2007
130views more  JC 2007»
13 years 7 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
ECCC
2007
144views more  ECCC 2007»
13 years 7 months ago
Algebraic Lower Bounds for Computing on Encrypted Data
In cryptography, there has been tremendous success in building primitives out of homomorphic semantically-secure encryption schemes, using homomorphic properties in a blackbox way...
Rafail Ostrovsky, William E. Skeith III
FOCS
1990
IEEE
13 years 11 months ago
Matrix Decomposition Problem Is Complete for the Average Case
The first algebraic average-case complete problem is presented. It is arguably the simplest natural average-case complete problem to date.
Yuri Gurevich
ICCS
2007
Springer
14 years 1 months ago
Monte Carlo Numerical Treatment of Large Linear Algebra Problems
In this paper we deal with performance analysis of Monte Carlo algorithm for large linear algebra problems. We consider applicability and efficiency of the Markov chain Monte Carlo...
Ivan Dimov, Vassil N. Alexandrov, Rumyana Papanche...