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» The Proof Complexity of Linear Algebra
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IJAC
2002
128views more  IJAC 2002»
13 years 7 months ago
Computational Complexity of Generators and Nongenerators in Algebra
Abstract. We discuss the computational complexity of several problems concerning subsets of an algebraic structure that generate the structure. We show that the problem of determin...
Clifford Bergman, Giora Slutzki
ENTCS
2006
153views more  ENTCS 2006»
13 years 8 months ago
Automatic Complexity Analysis for Programs Extracted from Coq Proof
We describe an automatic complexity analysis mechanism for programs extracted from proofs carried out with the proof assistant Coq. By extraction, we mean the automatic generation...
Jean-Pierre Jouannaud, Weiwen Xu
TYPES
2000
Springer
13 years 11 months ago
A Constructive Proof of the Fundamental Theorem of Algebra without Using the Rationals
Abstract. In the FTA project in Nijmegen we have formalized a constructive proof of the Fundamental Theorem of Algebra. In the formalization, we have first defined the (constructiv...
Herman Geuvers, Freek Wiedijk, Jan Zwanenburg
ASIACRYPT
1999
Springer
14 years 5 days ago
Linear Complexity versus Pseudorandomness: On Beth and Dai's Result
Abstract. Beth and Dai studied in their Eurocrypt paper [1] the relationship between linear complexity (that is, the length of the shortest Linear Feedback Shift Register that gene...
Yongge Wang
SIAMSC
2008
142views more  SIAMSC 2008»
13 years 6 months ago
Algebraic Multigrid Solvers for Complex-Valued Matrices
In the mathematical modeling of real-life applications, systems of equations with complex coefficients often arise. While many techniques of numerical linear algebra, e.g., Krylovs...
Scott MacLachlan, Cornelis W. Oosterlee