A characterization of P0 matrices is reported and used to derive simple necessary and sufficient conditions for the unique solvability of a class of nonlinear systems of equations depending on a parameter. An application to the problem of existence and uniqueness of the solutions of one-step implicit schemes applied to scalar ODEs is also presented.

Solvability of Runge-Kutta and block-BVMs systems applied to scalar ODEs

IAVERNARO, Felice
2001

Abstract

A characterization of P0 matrices is reported and used to derive simple necessary and sufficient conditions for the unique solvability of a class of nonlinear systems of equations depending on a parameter. An application to the problem of existence and uniqueness of the solutions of one-step implicit schemes applied to scalar ODEs is also presented.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/57114
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