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EJC
2011
12 years 11 months ago
Bounds on generalized Frobenius numbers
Let N ≥ 2 and let 1 < a1 < · · · < aN be relatively prime integers. The Frobenius number of this N-tuple is defined to be the largest positive integer that has no re...
Lenny Fukshansky, Achill Schürmann
FCT
2003
Springer
13 years 10 months ago
An Extended Quadratic Frobenius Primality Test with Average and Worst Case Error Estimates
We present an Extended Quadratic Frobenius Primality Test (EQFT), which is related to the Miller-Rabin test and to several other known probabilistic tests. EQFT takes time equival...
Ivan Damgård, Gudmund Skovbjerg Frandsen
CORR
2011
Springer
202views Education» more  CORR 2011»
12 years 11 months ago
Noisy matrix decomposition via convex relaxation: Optimal rates in high dimensions
We analyze a class of estimators based on a convex relaxation for solving highdimensional matrix decomposition problems. The observations are the noisy realizations of the sum of ...
Alekh Agarwal, Sahand Negahban, Martin J. Wainwrig...
TCS
2011
12 years 11 months ago
Dynamic normal forms and dynamic characteristic polynomial
Abstract. We present the first fully dynamic algorithm for computing the characteristic polynomial of a matrix. In the generic symmetric case our algorithm supports rank-one updat...
Gudmund Skovbjerg Frandsen, Piotr Sankowski
ENDM
2008
101views more  ENDM 2008»
13 years 4 months ago
A central approach to bound the number of crossings in a generalized configuration
A generalized configuration is a set of n points and n 2 pseudolines such that each pseudoline passes through exactly two points, two pseudolines intersect exactly once, and no th...
Bernardo M. Ábrego, Silvia Fernández...