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CDC
2009
IEEE
143views Control Systems» more  CDC 2009»
14 years 7 days ago
Control interpretations of products in the Hopf algebra
Abstract— Families of differential operators, like those defining affine, generally nonlinear, control systems are known to have natural Hopf algebra structures. These provide ...
Matthias Kawski
FOCM
2010
143views more  FOCM 2010»
13 years 6 months ago
Algebraic Structures of B-series
B-series are a fundamental tool in practical and theoretical aspects of numerical integrators for ordinary differential equations. A composition law for B-series permits an elega...
Philippe Chartier, Ernst Hairer, Gilles Vilmart
FOCM
2006
76views more  FOCM 2006»
13 years 7 months ago
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled...
A. Murua
PPAM
2007
Springer
14 years 1 months ago
New Data Structures for Matrices and Specialized Inner Kernels: Low Overhead for High Performance
Dense linear algebra codes are often expressed and coded in terms of BLAS calls. This approach, however, achieves suboptimal performance due to the overheads associated to such cal...
José R. Herrero
FCT
2003
Springer
14 years 23 days ago
Compositionality of Hennessy-Milner Logic through Structural Operational Semantics
This paper presents a method for the decomposition of HML formulae. It can be used to decide whether a process algebra term satisfies a HML formula, by checking whether subterms s...
Wan Fokkink, Rob J. van Glabbeek, Paulien de Wind