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    A method for the computation of nonsimple turning points corresponding to cusps.

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    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

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    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

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    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

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    Si presenta un metodo per provare la convergenza di certi processi iterativi e lo si applica ai metodi di tipo Newtoniano della forma xn+1=xn(Axn)1F(xn)_{n+1}=x_{n}-(Ax_{n})^{-1}F(x_{n}), 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 xn+1=xn(Axn)1F(xn)_{n+1}=x_{n}-(Ax_{n})^{-1}F(x_{n}), moreover this allows to obtain sharp a posteriori error bounds
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