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JSCIC
2008
107views more  JSCIC 2008»
14 years 9 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
EUROPAR
2001
Springer
15 years 2 months ago
Polynomial Preconditioning for Specially Structured Linear Systems of Equations
For the solution of the SID (Symmetric InDefinite) linear systems, the use of the GLS (Generalized Least-Squares) polynomial preconditioner can improve the execution efficiency of...
Y. Liang, Jim Weston, Marek Szularz
TPDS
2008
97views more  TPDS 2008»
14 years 9 months ago
Solving Systems of Linear Equations on the CELL Processor Using Cholesky Factorization
: The STI CELL processor introduces pioneering solutions in processor architecture. At the same time it presents new challenges for the development of numerical algorithms. One is ...
Jakub Kurzak, Alfredo Buttari, Jack Dongarra
CASC
2010
Springer
160views Mathematics» more  CASC 2010»
14 years 8 months ago
Factorization of Polynomials and GCD Computations for Finding Universal Denominators
We discuss the algorithms which, given a linear difference equation with rational function coefficients over a field k of characteristic 0, compute a polynomial U(x) ∈ k[x] (a ...
Sergei A. Abramov, A. Gheffar, D. E. Khmelnov
AUTOMATICA
2008
118views more  AUTOMATICA 2008»
14 years 10 months ago
Root-mean-square gains of switched linear systems: A variational approach
We consider the problem of computing the root-mean-square (RMS) gain of switched linear systems. We develop a new approach which is based on an attempt to characterize the "w...
Michael Margaliot, João Pedro Hespanha