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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
MOC
1998
147views more  MOC 1998»
13 years 8 months ago
On the Diophantine equation |axn - byn | = 1
If a, b and n are positive integers with b ≥ a and n ≥ 3, then the equation of the title possesses at most one solution in positive integers x and y, with the possible exceptio...
Michael A. Bennett, Benjamin M. M. de Weger
SIAMJO
2002
89views more  SIAMJO 2002»
13 years 8 months ago
A Probability-One Homotopy Algorithm for Nonsmooth Equations and Mixed Complementarity Problems
A probability-one homotopy algorithm for solving nonsmooth equations is described. This algorithm is able to solve problems involving highly nonlinear equations, where the norm of ...
Stephen C. Billups, Layne T. Watson
PODC
2004
ACM
14 years 2 months ago
On the design of distributed protocols from differential equations
We propose a framework to translate certain subclasses of differential equation systems into distributed protocols that are practical. The synthesized protocols are state machine...
Indranil Gupta
SCL
2011
12 years 12 months ago
Regularity issues for the null-controllability of the linear 1-d heat equation
The fact that the heat equation is controllable to zero in any bounded domain of the euclidean space, any time T > 0 and from any open subset of the boundary is well known. On ...
Sorin Micu, Enrique Zuazua