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» Uniqueness of solutions of linear relay systems
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AUTOMATICA
1999
37views more  AUTOMATICA 1999»
13 years 6 months ago
Uniqueness of solutions of linear relay systems
In this paper we study the well-posedness (existence and uniqueness of solutions) of linear relay systems with respect to two di erent solution concepts, Filippov solutions and fo...
Y. J. Lootsma, A. J. van der Schaft, M. K. Ç...
EOR
2011
106views more  EOR 2011»
12 years 9 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
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 4 months ago
A Unique "Nonnegative" Solution to an Underdetermined System: from Vectors to Matrices
Abstract--This paper investigates the uniqueness of a nonnegative vector solution and the uniqueness of a positive semidefinite matrix solution to underdetermined linear systems. A...
Meng Wang, Weiyu Xu, Ao Tang
OL
2010
87views more  OL 2010»
13 years 4 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
TIT
2008
133views more  TIT 2008»
13 years 6 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...