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
2001-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
