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» Algorithms for Large Integer Matrix Problems
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COCOON
2000
Springer
13 years 12 months ago
Recent Progress and Prospects for Integer Factorisation Algorithms
The integer factorisation and discrete logarithm problems are of practical importance because of the widespread use of public key cryptosystems whose security depends on the presum...
Richard P. Brent
STOC
2009
ACM
156views Algorithms» more  STOC 2009»
14 years 8 months ago
Polynomial-time theory of matrix groups
We consider matrix groups, specified by a list of generators, over finite fields. The two most basic questions about such groups are membership in and the order of the group. Even...
László Babai, Robert Beals, Á...
CONSTRAINTS
2011
12 years 11 months ago
CP and IP approaches to cancer radiotherapy delivery optimization
Abstract. We consider the problem of decomposing an integer matrix into a positively weighted sum of binary matrices that have the consecutive-ones property. This problem is well-k...
Davaatseren Baatar, Natashia Boland, Sebastian Bra...
COCO
2011
Springer
261views Algorithms» more  COCO 2011»
12 years 7 months ago
Hardness of Max-2Lin and Max-3Lin over Integers, Reals, and Large Cyclic Groups
—In 1997, H˚astad showed NP-hardness of (1 − , 1/q + δ)-approximating Max-3Lin(Zq); however it was not until 2007 that Guruswami and Raghavendra were able to show NP-hardness...
Ryan O'Donnell, Yi Wu, Yuan Zhou
CPHYSICS
2007
222views more  CPHYSICS 2007»
13 years 7 months ago
JADAMILU: a software code for computing selected eigenvalues of large sparse symmetric matrices
A new software code for computing selected eigenvalues and associated eigenvectors of a real symmetric matrix is described. The eigenvalues are either the smallest or those closes...
Matthias Bollhöfer, Yvan Notay