Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs
2000
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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