1,720,993 research outputs found
A method for the computation of nonsimple turning points corresponding to cusps.
AbstractA direct method is described for the approximation of nonsimple turning points, corresponding to cusp points, of nonlinear operator equations depending on two parameters. The procedure is based on the application of a special projection method to the computation of simple turning points of a suitable augmented system. Numerical examples illustrate the features of the proposed algorithm
Rational Lanczos approximations to the matrix square root and related functions
We consider restricted rational Lanczos approximations to matrix functions representable by some integral
forms. A convergence analysis that stresses the effectiveness of the proposed method is developed. Error
estimates are derived. Numerical experiments are presented
A note on Krylov methods for fractional evolution problems
The solution of linear fractional-order differential problems is addressed.
For this purpose rational approximations obtained by projections on resolvent Krylov subspaces are considered. Their convergence properties in Hilbert spaces are investigated
Sulla convergenza di certi metodi iterativi
Si presenta un metodo per provare la convergenza di certi processi
iterativi e lo si applica ai metodi di tipo Newtoniano della forma
x, ottenendo al tempo stesso
delle maggiorazioni a posteriori dell'errore in senso stretto.A method to prove the convergence of certain iterative processes is
presented and applied to Newton-Type Methods of the form x,
moreover this allows to obtain sharp a posteriori error bounds
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