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OL
2010
87views more  OL 2010»
13 years 7 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
JSCIC
2008
107views more  JSCIC 2008»
13 years 8 months ago
A Hierarchy of Approximations of the Master Equation Scaled by a Size Parameter
Solutions of the master equation are approximated using a hierarchy of models based on the solution of ordinary differential equations: the macroscopic equations, the linear noise...
Lars Ferm, Per Lötstedt, Andreas Hellander
RTA
1997
Springer
14 years 21 days ago
Solving Linear Diophantine Equations Using the Geometric Structure of the Solution Space
In the development of algorithms for finding the minimal solutions of systems of linear Diophantine equations, little use has been made (to our knowledge) of the results by Stanle...
Ana Paula Tomás, Miguel Filgueiras
DM
2000
127views more  DM 2000»
13 years 8 months ago
Special formal series solutions of linear operator equations
The transformation which assigns to a linear operator L the recurrence satisfied by coefficient sequences of the polynomial series in its kernel, is shown to be an isomorphism of ...
Sergei A. Abramov, Marko Petkovsek, Anna A. Ryaben...
IPPS
2003
IEEE
14 years 1 months ago
Parallel Direct Solution of Linear Equations on FPGA-Based Machines
The efficient solution of large systems of linear equations represented by sparse matrices appears in many tasks. LU factorization followed by backward and forward substitutions i...
Xiaofang Wang, Sotirios G. Ziavras