Introduzione
Abstract
En
In this note we observe a decreasing property of
along the numerical solution of the autonomous differential system
which satisfies a monotonicity condition;such a solution is obtained by means of a class of linear k-step A-stable methods and we have set(Error rendering LaTeX formula) and G is a symmetric positive definite matrix of order k. We study also a particular subclass of linear multistep G-stable methods of maximum order,in which the matrix G is actually constructed.The associated Lyapunov function ensures the stability of the set of equilibrium points.
In this note we observe a decreasing property of
![{\big \Vert {Fn} \big \Vert} _{G}2](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/d177bdbd88a3536f91e0e8302625cebd.png)
![y'=f(x)](http://siba-ese.unisalento.it/plugins/generic/latexRender/cache/58eef24174a7a767bb980a96d1455c9a.png)
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