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» Solution of a system of linear equations with fuzzy numbers
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SIAMSC
2008
193views more  SIAMSC 2008»
13 years 9 months ago
Exact and Approximate Sparse Solutions of Underdetermined Linear Equations
Abstract. In this paper, we empirically investigate the NP-hard problem of finding sparsest solutions to linear equation systems, i.e., solutions with as few nonzeros as possible. ...
Sadegh Jokar, Marc E. Pfetsch
SIAMREV
2010
174views more  SIAMREV 2010»
13 years 4 months ago
Guaranteed Minimum-Rank Solutions of Linear Matrix Equations via Nuclear Norm Minimization
The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the ...
Benjamin Recht, Maryam Fazel, Pablo A. Parrilo
SOCO
2002
Springer
13 years 9 months ago
Fuzzy relation equations (I): the general and specialized solving algorithms
In this article, we develop a new method and an algorithm to solve a system of fuzzy relation equations. We first introduce a solution-base-matrix and then give a tractable mathema...
Li Chen, Paul P. Wang
ISSAC
2009
Springer
141views Mathematics» more  ISSAC 2009»
14 years 4 months ago
Algorithms for regular solutions of higher-order linear differential systems
We study systems of higher-order linear differential equations having a regular singularity at the origin. Using the properties of matrix polynomials, we develop efficient method...
Moulay A. Barkatou, Thomas Cluzeau, Carole El Bach...
CDC
2009
IEEE
176views Control Systems» more  CDC 2009»
14 years 1 months ago
A characterization of solution sets of LTI differential equations
Abstract— We prove that a controllable set of smooth trajectories is the solution set of a constant coefficient linear differential equation if and only if it is linear, time in...
Jean-Charles Delvenne, Tzvetan Ivanov