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» Uniqueness of integer solution of linear equations
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OL
2010
87views more  OL 2010»
13 years 3 months ago
Uniqueness of integer solution of linear equations
Abstract. We consider the system of m linear equations in n integer variables Ax = d and give sufficient conditions for the uniqueness of its integer solution x ∈ {−1,1}n by r...
O. L. Mangasarian, Michael C. Ferris
EOR
2011
106views more  EOR 2011»
12 years 8 months ago
Probability of unique integer solution to a system of linear equations
We consider a system of m linear equations in n variables Ax = d and give necessary and sufficient conditions for the existence of a unique solution to the system that is integer:...
O. L. Mangasarian, Benjamin Recht
TIT
2008
133views more  TIT 2008»
13 years 4 months ago
On the Uniqueness of Nonnegative Sparse Solutions to Underdetermined Systems of Equations
An underdetermined linear system of equations Ax = b with non-negativity constraint x 0 is considered. It is shown that for matrices A with a row-span intersecting the positive o...
Alfred M. Bruckstein, Michael Elad, Michael Zibule...
4OR
2006
100views more  4OR 2006»
13 years 4 months ago
Nondecomposable solutions to group equations and an application to polyhedral combinatorics
This paper is based on the study of the set of nondecomposable integer solutions in a Gomory corner polyhedron, which was recently used in a reformulation method for integer linear...
Matthias Jach, Matthias Köppe, Robert Weisman...
ICCV
2009
IEEE
14 years 9 months ago
Subspace matching: Unique solutions to point matching with geometric constraints
Finding correspondences between feature points is one of the most relevant problems in the whole set of visual tasks. In this paper we address the problem of matching a feature ...
Manuel Marques, Marko Stosic and Joao Costeira