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» Algorithms for Large Integer Matrix Problems
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AAECC
2001
Springer
121views Algorithms» more  AAECC 2001»
13 years 9 months ago
Algorithms for Large Integer Matrix Problems
Abstract. New algorithms are described and analysed for solving various problems associated with a large integer matrix: computing the Hermite form, computing a kernel basis, and s...
Mark Giesbrecht, Michael J. Jacobson Jr., Arne Sto...
TWC
2008
158views more  TWC 2008»
13 years 4 months ago
Solving Box-Constrained Integer Least Squares Problems
A box-constrained integer least squares problem (BILS) arises from several wireless communications applications. Solving a BILS problem usually has two stages: reduction (or prepro...
Xiao-Wen Chang, Qing Han
ORL
2011
12 years 11 months ago
Solving large Steiner Triple Covering Problems
Computing the 1-width of the incidence matrix of a Steiner Triple System gives rise to small set covering instances that provide a computational challenge for integer programming ...
James Ostrowski, Jeff Linderoth, Fabrizio Rossi, S...
COCO
2005
Springer
106views Algorithms» more  COCO 2005»
13 years 10 months ago
The Complexity of the Inertia and Some Closure Properties of GapL
The inertia of an n × n matrix A is defined as the triple (i+(A), i−(A), i0(A)), where i+(A), i−(A), and i0(A) are the number of eigenvalues of A, counting multiplicities, w...
Thanh Minh Hoang, Thomas Thierauf
ISSAC
1997
Springer
194views Mathematics» more  ISSAC 1997»
13 years 8 months ago
The Minimised Geometric Buchberger Algorithm: An Optimal Algebraic Algorithm for Integer Programming
IP problems characterise combinatorial optimisation problems where conventional numerical methods based on the hill-climbing technique can not be directly applied. Conventional me...
Qiang Li, Yike Guo, Tetsuo Ida, John Darlington