Edit Profile (opens in new tab) Moret, Igor Co-Author Distance Author ID: moret.igor Published as: Moret, Igor; Moret, I. Documents Indexed: 41 Publications since 1983 Co-Authors: 10 Co-Authors with 20 Joint Publications 224 Co-Co-Authors all top 5 Co-Authors 21 single-authored 7 Novati, Paolo 6 Omari, Pierpaolo 3 Popolizio, Marina 2 Garrappa, Roberto 1 Bergamaschi, Luca 1 Celledoni, Elena 1 Diele, Fasma 1 Ragni, Stefania 1 Torelli, Lucio 1 Zilli, Giovanni all top 5 Serials 7 Numerical Functional Analysis and Optimization 4 Computing 4 International Journal of Computer Mathematics 4 Numerical Linear Algebra with Applications 3 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 2 SIAM Journal on Numerical Analysis 2 Applied Numerical Mathematics 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Mathematics of Computation 1 BIT 1 Mathematische Nachrichten 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Integral Equations and Applications 1 FGCS. Future Generation Computer Systems 1 Atti del Seminario Matematico e Fisico dell’Università di Modena all top 5 Fields 38 Numerical analysis (65-XX) 21 Operator theory (47-XX) 9 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 5 Integral equations (45-XX) 4 Special functions (33-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 411 times in 278 Documents Cited by ▼ Year ▼ RD-rational approximations of the matrix exponential. Zbl 1075.65062 Moret, I.; Novati, P. 82 2004 A note on the superlinear convergence of GMRES. Zbl 0873.65054 Moret, Igor 32 1997 Solving the time-fractional Schrödinger equation by Krylov projection methods. Zbl 1349.65547 Garrappa, Roberto; Moret, Igor; Popolizio, Marina 32 2015 A Krylov projection method for systems of ODEs. Zbl 0885.65073 Celledoni, E.; Moret, I. 31 1997 On the convergence of Krylov subspace methods for matrix Mittag-Leffler functions. Zbl 1244.65065 Moret, Igor; Novati, Paolo 28 2011 A note on Newton type iterative methods. Zbl 0532.65045 Moret, I. 24 1984 An interpolatory approximation of the matrix exponential based on Faber polynomials. Zbl 0983.65057 Moret, I.; Novati, P. 18 2001 A Kantorovich-type theorem for inexact Newton methods. Zbl 0653.65044 Moret, Igor 16 1989 On the time-fractional Schrödinger equation: theoretical analysis and numerical solution by matrix Mittag-Leffler functions. Zbl 1448.65099 Garrappa, Roberto; Moret, Igor; Popolizio, Marina 15 2017 The computation of functions of matrices by truncated Faber series. Zbl 0992.65010 Moret, I.; Novati, P. 13 2001 The restarted shift-and-invert Krylov method for matrix functions. Zbl 1324.65079 Moret, Igor; Popolizio, Marina 12 2014 Krylov subspace methods for functions of fractional differential operators. Zbl 1476.65083 Moret, Igor; Novati, Paolo 12 2019 Rational Lanczos approximations to the matrix square root and related functions. Zbl 1224.65124 Moret, Igor 10 2009 Error estimates for polynomial Krylov approximations to matrix functions. Zbl 1176.65057 Diele, Fasma; Moret, Igor; Ragni, Stefania 10 2008 On RD-rational Krylov approximations to the core-functions of exponential integrators. Zbl 1199.65235 Moret, I. 9 2007 An iterative variant of the degenerate kernel method for solving Fredholm integral equations. Zbl 0683.65114 Moret, Igor; Omari, Pierpaolo 7 1989 Inexact Quasi-Newton methods for sparse systems of nonlinear equations. Zbl 1032.68170 Bergamaschi, L.; Moret, I.; Zilli, G. 7 2001 A note on Krylov methods for fractional evolution problems. Zbl 1272.65061 Moret, Igor 7 2013 Interpolating functions of matrices on zeros of quasi-kernel polynomials. Zbl 1164.65387 Moret, I.; Novati, P. 6 2005 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0726.65064 Moret, Igor; Omari, Pierpaolo 6 1991 Iterative solution of integral equations by a quasi-Newton method. Zbl 0633.65141 Moret, Igor; Omari, Pierpaolo 5 1987 On a general iterative scheme for Newton-type methods. Zbl 0635.65069 Moret, Igor 4 1987 A projective Newton method for semilinear operator equations in Banach spaces. Zbl 0712.65052 Moret, Igor; Omari, Pierpaolo 4 1990 A continuation procedure based on projected Newton steps. Zbl 0695.65039 Moret, I. 3 1989 A projection method for computing turning points of nonlinear equations. Zbl 0769.65032 Moret, I. 3 1992 Shift-and-invert Krylov methods for time-fractional wave equations. Zbl 1314.34024 Moret, Igor 3 2015 Multilevel methods for the approximation of singular solutions of completely continuous operator equations. Zbl 0776.65041 Moret, Igor 2 1993 On the behaviour of approximate Newton methods. Zbl 0579.65056 Moret, Igor 2 1986 Updated projections in continuation methods. Zbl 0712.65050 Moret, Igor 2 1990 A projective direct method for the computation of Hopf bifurcation points. Zbl 0847.65035 Moret, Igor; Torelli, Lucio 1 1995 Discrete Krylov subspace methods for equations of the second kind. Zbl 0935.65056 Moret, Igor 1 1998 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0712.65051 Moret, Igor; Omari, Pierpaolo 1 1991 A Krylov subspace method for nonlinear operator equations. Zbl 0776.47040 Moret, Igor; Omari, Pierpaolo 1 1992 Krylov-type methods for the computation of critical solutions of nonlinear equations. Zbl 0798.65069 Moret, Igor 1 1994 The approximation of generalized turning points by Krylov subspace methods. Zbl 0810.65052 Moret, Igor 1 1994 Krylov subspace methods for functions of fractional differential operators. Zbl 1476.65083 Moret, Igor; Novati, Paolo 12 2019 On the time-fractional Schrödinger equation: theoretical analysis and numerical solution by matrix Mittag-Leffler functions. Zbl 1448.65099 Garrappa, Roberto; Moret, Igor; Popolizio, Marina 15 2017 Solving the time-fractional Schrödinger equation by Krylov projection methods. Zbl 1349.65547 Garrappa, Roberto; Moret, Igor; Popolizio, Marina 32 2015 Shift-and-invert Krylov methods for time-fractional wave equations. Zbl 1314.34024 Moret, Igor 3 2015 The restarted shift-and-invert Krylov method for matrix functions. Zbl 1324.65079 Moret, Igor; Popolizio, Marina 12 2014 A note on Krylov methods for fractional evolution problems. Zbl 1272.65061 Moret, Igor 7 2013 On the convergence of Krylov subspace methods for matrix Mittag-Leffler functions. Zbl 1244.65065 Moret, Igor; Novati, Paolo 28 2011 Rational Lanczos approximations to the matrix square root and related functions. Zbl 1224.65124 Moret, Igor 10 2009 Error estimates for polynomial Krylov approximations to matrix functions. Zbl 1176.65057 Diele, Fasma; Moret, Igor; Ragni, Stefania 10 2008 On RD-rational Krylov approximations to the core-functions of exponential integrators. Zbl 1199.65235 Moret, I. 9 2007 Interpolating functions of matrices on zeros of quasi-kernel polynomials. Zbl 1164.65387 Moret, I.; Novati, P. 6 2005 RD-rational approximations of the matrix exponential. Zbl 1075.65062 Moret, I.; Novati, P. 82 2004 An interpolatory approximation of the matrix exponential based on Faber polynomials. Zbl 0983.65057 Moret, I.; Novati, P. 18 2001 The computation of functions of matrices by truncated Faber series. Zbl 0992.65010 Moret, I.; Novati, P. 13 2001 Inexact Quasi-Newton methods for sparse systems of nonlinear equations. Zbl 1032.68170 Bergamaschi, L.; Moret, I.; Zilli, G. 7 2001 Discrete Krylov subspace methods for equations of the second kind. Zbl 0935.65056 Moret, Igor 1 1998 A note on the superlinear convergence of GMRES. Zbl 0873.65054 Moret, Igor 32 1997 A Krylov projection method for systems of ODEs. Zbl 0885.65073 Celledoni, E.; Moret, I. 31 1997 A projective direct method for the computation of Hopf bifurcation points. Zbl 0847.65035 Moret, Igor; Torelli, Lucio 1 1995 Krylov-type methods for the computation of critical solutions of nonlinear equations. Zbl 0798.65069 Moret, Igor 1 1994 The approximation of generalized turning points by Krylov subspace methods. Zbl 0810.65052 Moret, Igor 1 1994 Multilevel methods for the approximation of singular solutions of completely continuous operator equations. Zbl 0776.65041 Moret, Igor 2 1993 A projection method for computing turning points of nonlinear equations. Zbl 0769.65032 Moret, I. 3 1992 A Krylov subspace method for nonlinear operator equations. Zbl 0776.47040 Moret, Igor; Omari, Pierpaolo 1 1992 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0726.65064 Moret, Igor; Omari, Pierpaolo 6 1991 A quasi-Newton method for solving fixed point problems in Hilbert spaces. Zbl 0712.65051 Moret, Igor; Omari, Pierpaolo 1 1991 A projective Newton method for semilinear operator equations in Banach spaces. Zbl 0712.65052 Moret, Igor; Omari, Pierpaolo 4 1990 Updated projections in continuation methods. Zbl 0712.65050 Moret, Igor 2 1990 A Kantorovich-type theorem for inexact Newton methods. Zbl 0653.65044 Moret, Igor 16 1989 An iterative variant of the degenerate kernel method for solving Fredholm integral equations. Zbl 0683.65114 Moret, Igor; Omari, Pierpaolo 7 1989 A continuation procedure based on projected Newton steps. Zbl 0695.65039 Moret, I. 3 1989 Iterative solution of integral equations by a quasi-Newton method. Zbl 0633.65141 Moret, Igor; Omari, Pierpaolo 5 1987 On a general iterative scheme for Newton-type methods. Zbl 0635.65069 Moret, Igor 4 1987 On the behaviour of approximate Newton methods. Zbl 0579.65056 Moret, Igor 2 1986 A note on Newton type iterative methods. Zbl 0532.65045 Moret, I. 24 1984 all cited Publications top 5 cited Publications all top 5 Cited by 337 Authors 23 Moret, Igor 18 Argyros, Ioannis Konstantinos 18 Novati, Paolo 13 Garrappa, Roberto 12 Bochev, M. A. 10 Popolizio, Marina 9 Sun, Haiwei 8 Wang, Hong 7 Caliari, Marco 7 Zheng, Xiangcheng 6 Güttel, Stefan 6 Hilout, Saïd 6 Yamamoto, Tetsuro 5 Hashimoto, Yuka 5 Zhang, Lu 4 Aceto, Lidia 4 Antoine, Xavier 4 Axelsson, Axel Owe Holger 4 Bentbib, Abdeslem Hafid 4 Celledoni, Elena 4 Durastante, Fabio 4 Grimm, Volker 4 Karátson, János 4 Lambers, James V. 4 Nodera, Takashi 4 Pang, Hong-Kui 3 Archid, Atika 3 Bergamaschi, Luca 3 Bertaccini, Daniele 3 Brezinski, Claude 3 Ferreira, Orizon Pereira 3 Gazzola, Silvia 3 George, Santhosh 3 Gmati, Nabil 3 Hicdurmaz, Betul 3 Kometa, Bawfeh Kingsley 3 Omari, Pierpaolo 3 Ragni, Stefania 3 Redivo-Zaglia, Michela 3 Russo, Maria Rosaria 3 Schweitzer, Marcel 3 Vianello, Marco 3 Wu, Gang 3 Zhang, Jiwei 2 Agoujil, Said 2 Ashyralyev, Allaberen 2 Berljafa, Mario 2 Cai, Yao-Yuan 2 Cherkaev, Elena 2 Cong, Yuhao 2 Druskin, Vladimir 2 El-Gamel, Mohamed 2 Esmaeili, Shahrokh 2 Galperin, Anatoly M. 2 Geurts, Bernard J. 2 Göckler, Tanja 2 Hochbruck, Marlis 2 Jawecki, Tobias 2 Kandolf, Peter 2 Klöckner, Andreas 2 Kooij, Gijs L. 2 Kordy, Michal 2 Kressner, Daniel 2 Li, Dongfang 2 Li, Dongping 2 Li, Xiantao 2 Liesen, Jörg 2 Magoulès, Frédéric 2 Marangi, Carmela 2 Ostermann, Alexander 2 Reichel, Lothar 2 Sète, Olivier 2 Simoncini, Valeria 2 Simunec, Igor 2 Tokman, Mayya 2 Tyrtyshnikov, Evgeniĭ Evgen’evich 2 Waksman, Zeev 2 Wu, Min 2 Yang, Zhiwei 2 Zaslavsky, Mikhail 2 Zhang, Qifeng 2 Zivcovich, Franco 1 Abdel-Salam, Emad A-B. 1 Akgül, Ali 1 Alahmadi, J. 1 Alqahtani, Hessah 1 Amodio, Pierluigi 1 Arrigo, Francesca 1 Arslan, Damla 1 Atanackovic, Teodor M. 1 Atkinson, Kendall Eugene 1 Attiya, Adel A. 1 Auzinger, Winfried 1 Beckermann, Bernhard 1 Behiry, S. H. 1 Ben Belgacem, Faker 1 Benner, Peter 1 Bentbib, Abdeselem Hafid 1 Benzi, Michele 1 Bessoud, Anne Laure ...and 237 more Authors all top 5 Cited in 76 Serials 28 Journal of Computational and Applied Mathematics 15 Computers & Mathematics with Applications 14 Applied Mathematics and Computation 13 Applied Numerical Mathematics 13 International Journal of Computer Mathematics 12 Journal of Scientific Computing 11 Numerical Functional Analysis and Optimization 10 Journal of Computational Physics 10 BIT 10 Numerical Linear Algebra with Applications 9 SIAM Journal on Scientific Computing 8 SIAM Journal on Numerical Analysis 7 SIAM Journal on Matrix Analysis and Applications 7 Numerical Algorithms 6 Numerische Mathematik 5 Computing 5 Linear Algebra and its Applications 4 ETNA. Electronic Transactions on Numerical Analysis 4 Advances in Computational Mathematics 4 Advances in Difference Equations 3 Journal of Mathematical Analysis and Applications 3 Mathematical Methods in the Applied Sciences 3 Mathematics of Computation 3 Mathematics and Computers in Simulation 3 Japan Journal of Applied Mathematics 3 Journal of Integral Equations and Applications 3 East Asian Journal on Applied Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 International Journal for Numerical Methods in Engineering 2 Japan Journal of Industrial and Applied Mathematics 2 Fractional Calculus & Applied Analysis 2 Journal of Numerical Mathematics 2 Journal of Applied Mathematics and Computing 2 Inverse Problems in Science and Engineering 2 GAMM-Mitteilungen 2 Mathematics 1 Applicable Analysis 1 Computer Physics Communications 1 Inverse Problems 1 Reports on Mathematical Physics 1 Mathematische Zeitschrift 1 Acta Mathematica Hungarica 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Journal of Complexity 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Mathematical Programming. Series A. Series B 1 Computational Optimization and Applications 1 Computational and Applied Mathematics 1 Turkish Journal of Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 Abstract and Applied Analysis 1 Optimization Methods & Software 1 Journal of Inequalities and Applications 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 Analysis and Applications (Singapore) 1 Mediterranean Journal of Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 ACM Communications in Computer Algebra 1 Advances in Differential Equations and Control Processes 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Applied Analysis and Computation 1 Journal of Mathematical Modeling 1 International Journal of Applied and Computational Mathematics 1 Transactions of A. Razmadze Mathematical Institute 1 Communications on Applied Mathematics and Computation all top 5 Cited in 32 Fields 261 Numerical analysis (65-XX) 78 Partial differential equations (35-XX) 50 Operator theory (47-XX) 32 Ordinary differential equations (34-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 17 Real functions (26-XX) 14 Integral equations (45-XX) 12 Special functions (33-XX) 12 Approximations and expansions (41-XX) 9 Fluid mechanics (76-XX) 8 Optics, electromagnetic theory (78-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Operations research, mathematical programming (90-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Mechanics of deformable solids (74-XX) 5 Systems theory; control (93-XX) 4 Probability theory and stochastic processes (60-XX) 4 Geophysics (86-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year