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A two-variable approach to solve the polynomial Lyapunov equation

✍ Scribed by Ralf Peeters; Paolo Rapisarda

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
146 KB
Volume
42
Category
Article
ISSN
0167-6911

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✦ Synopsis

A two-variable polynomial approach to solve the one-variable polynomial Lyapunov equation is proposed. Lifting the problem from the one-variable to the two-variable context allows to use Faddeev-type recursions in order to solve the polynomial Lyapunov equation in an iterative fashion. The method is especially suitable for applications requiring exact or symbolic computation.

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Approach to Equilibrium for the Coagulat
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## Communicated by E. Meister It is shown that the non-linear coagulation-fragmentation equation with constant kernels has a unique equilibrium solution. This equilibrium solution is given explicitly in terms of the initial data and the kernels. Weak L' convergence of time-dependent solutions to t