Garrappa, Roberto; Moret, Igor; Popolizio, Marina On the time-fractional Schrödinger equation: theoretical analysis and numerical solution by matrix Mittag-Leffler functions. (English) Zbl 1448.65099 Comput. Math. Appl. 74, No. 5, 977-992 (2017). MSC: 65M06 65M22 65M12 65F10 35R11 26A33 33E12 35Q41 PDFBibTeX XMLCite \textit{R. Garrappa} et al., Comput. Math. Appl. 74, No. 5, 977--992 (2017; Zbl 1448.65099) Full Text: DOI
Garrappa, Roberto; Moret, Igor; Popolizio, Marina Solving the time-fractional Schrödinger equation by Krylov projection methods. (English) Zbl 1349.65547 J. Comput. Phys. 293, 115-134 (2015). MSC: 65M99 35Q41 35R11 33E12 PDFBibTeX XMLCite \textit{R. Garrappa} et al., J. Comput. Phys. 293, 115--134 (2015; Zbl 1349.65547) Full Text: DOI Link
Moret, Igor Shift-and-invert Krylov methods for time-fractional wave equations. (English) Zbl 1314.34024 Numer. Funct. Anal. Optim. 36, No. 1, 86-103 (2015). MSC: 34A08 47D06 34G10 35L90 34A45 PDFBibTeX XMLCite \textit{I. Moret}, Numer. Funct. Anal. Optim. 36, No. 1, 86--103 (2015; Zbl 1314.34024) Full Text: DOI
Moret, Igor; Popolizio, Marina The restarted shift-and-invert Krylov method for matrix functions. (English) Zbl 1324.65079 Numer. Linear Algebra Appl. 21, No. 1, 68-80 (2014). Reviewer: Jurjen Duintjer Tebbens (Praha) MSC: 65F60 65F50 33E12 65D20 PDFBibTeX XMLCite \textit{I. Moret} and \textit{M. Popolizio}, Numer. Linear Algebra Appl. 21, No. 1, 68--80 (2014; Zbl 1324.65079) Full Text: DOI
Moret, Igor A note on Krylov methods for fractional evolution problems. (English) Zbl 1272.65061 Numer. Funct. Anal. Optim. 34, No. 5, 539-556 (2013). MSC: 65L05 34A08 65L20 PDFBibTeX XMLCite \textit{I. Moret}, Numer. Funct. Anal. Optim. 34, No. 5, 539--556 (2013; Zbl 1272.65061) Full Text: DOI
Moret, Igor; Novati, Paolo On the convergence of Krylov subspace methods for matrix Mittag-Leffler functions. (English) Zbl 1244.65065 SIAM J. Numer. Anal. 49, No. 5, 2144-2164 (2011). Reviewer: Frank Uhlig (Auburn) MSC: 65F60 65D20 33E12 34A09 65F10 33F05 PDFBibTeX XMLCite \textit{I. Moret} and \textit{P. Novati}, SIAM J. Numer. Anal. 49, No. 5, 2144--2164 (2011; Zbl 1244.65065) Full Text: DOI
Diele, Fasma; Moret, Igor; Ragni, Stefania Error estimates for polynomial Krylov approximations to matrix functions. (English) Zbl 1176.65057 SIAM J. Matrix Anal. Appl. 30, No. 4, 1546-1565 (2008). MSC: 65F60 15A16 65F10 65N06 PDFBibTeX XMLCite \textit{F. Diele} et al., SIAM J. Matrix Anal. Appl. 30, No. 4, 1546--1565 (2008; Zbl 1176.65057) Full Text: DOI
Moret, I. On RD-rational Krylov approximations to the core-functions of exponential integrators. (English) Zbl 1199.65235 Numer. Linear Algebra Appl. 14, No. 5, 445-457 (2007). MSC: 65L05 34A30 65L70 PDFBibTeX XMLCite \textit{I. Moret}, Numer. Linear Algebra Appl. 14, No. 5, 445--457 (2007; Zbl 1199.65235) Full Text: DOI
Moret, I.; Novati, P. Interpolating functions of matrices on zeros of quasi-kernel polynomials. (English) Zbl 1164.65387 Numer. Linear Algebra Appl. 12, No. 4, 337-353 (2005). MSC: 65F30 15A60 65F10 65D05 65Y20 65D10 PDFBibTeX XMLCite \textit{I. Moret} and \textit{P. Novati}, Numer. Linear Algebra Appl. 12, No. 4, 337--353 (2005; Zbl 1164.65387) Full Text: DOI
Moret, I.; Novati, P. RD-rational approximations of the matrix exponential. (English) Zbl 1075.65062 BIT 44, No. 3, 595-615 (2004). Reviewer: Daniel Kressner (Zagreb) MSC: 65F30 65L05 34A30 PDFBibTeX XMLCite \textit{I. Moret} and \textit{P. Novati}, BIT 44, No. 3, 595--615 (2004; Zbl 1075.65062) Full Text: DOI
Moret, Igor Discrete Krylov subspace methods for equations of the second kind. (English) Zbl 0935.65056 Int. J. Comput. Math. 69, No. 3-4, 351-369 (1998). MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{I. Moret}, Int. J. Comput. Math. 69, No. 3--4, 351--369 (1998; Zbl 0935.65056) Full Text: DOI
Moret, Igor A note on the superlinear convergence of GMRES. (English) Zbl 0873.65054 SIAM J. Numer. Anal. 34, No. 2, 513-516 (1997). Reviewer: K.Georgiev (Sofia) MSC: 65J10 47A50 PDFBibTeX XMLCite \textit{I. Moret}, SIAM J. Numer. Anal. 34, No. 2, 513--516 (1997; Zbl 0873.65054) Full Text: DOI
Moret, Igor The approximation of generalized turning points by Krylov subspace methods. (English) Zbl 0810.65052 Numer. Math. 68, No. 3, 341-353 (1994). Reviewer: W.Petry (Düsseldorf) MSC: 65J15 65L10 47J25 34B15 PDFBibTeX XMLCite \textit{I. Moret}, Numer. Math. 68, No. 3, 341--353 (1994; Zbl 0810.65052) Full Text: DOI
Moret, Igor Krylov-type methods for the computation of critical solutions of nonlinear equations. (English) Zbl 0798.65069 Numer. Funct. Anal. Optimization 15, No. 1-2, 77-86 (1994). Reviewer: W.C.Rheinboldt (Pittsburgh) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. Moret}, Numer. Funct. Anal. Optim. 15, No. 1--2, 77--86 (1994; Zbl 0798.65069) Full Text: DOI