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CASC
2011
Springer
212views Mathematics» more  CASC 2011»
12 years 7 months ago
Semi-algebraic Description of the Equilibria of Dynamical Systems
Abstract. We study continuous dynamical systems defined by autonomous ordinary differential equations, themselves given by parametric rational functions. For such systems, we pro...
Changbo Chen, Marc Moreno Maza
FCSC
2008
87views more  FCSC 2008»
13 years 7 months ago
On the verification of polynomial system solvers
Abstract. We discuss the verification of mathematical software solving polynomial systems symbolically by way of triangular decomposition. Standard verification techniques are high...
Changbo Chen, Marc Moreno Maza, Wei Pan, Yuzhen Xi...
ICASSP
2011
IEEE
12 years 10 months ago
Generalized geometric mean decomposition and DFE MMSE transceiver design for cyclic prefix systems
This paper considers the decomposition of a complex matrix as the product of several sets of semi-unitary matrices and upper triangular matrices in iterative manner. The inner mos...
Chih-Hao Liu, Palghat P. Vaidyanathan
JSC
2007
97views more  JSC 2007»
13 years 6 months ago
On approximate triangular decompositions in dimension zero
Triangular decompositions for systems of polynomial equations with n variables, with exact coefficients, are well developed theoretically and in terms of implemented algorithms i...
Marc Moreno Maza, Gregory J. Reid, Robin Scott, We...
CORR
2010
Springer
77views Education» more  CORR 2010»
13 years 7 months ago
Triangular Decomposition of Semi-algebraic Systems
Regular chains and triangular decompositions are fundamental and well-developed tools for describing the complex solutions of polynomial systems. This paper proposes adaptations o...
Changbo Chen, James H. Davenport, John P. May, Mar...