DANIELE BERTACCINI

Full professor

email: bertaccini@mat.uniroma2.it
phone:



Bertaccini's work in matrix computation devises and analyzes algorithms for solving numerical multidimensional problems arising in science and engineering.

He develops and analyzes fast algorithms for solving large scale systems in
Fast algorithms for complex networks analysis
numerical time integration for evolutionary partial differential equations
image restoration
advection-diffusion-reaction systems from life sciences
optimization
ordinary differential equations
Applications: Biomedical PDE-based models (Cochlear models, thermal ablation of solid tumors), PDE Image restoration models, Numerical optimization.

Research products

2108/345823 - 2024 - Why diffusion‐based preconditioning of Richards equation works: Spectral analysis and computational experiments at very large scale
Bertaccini, Daniele; Filippone, Salvatore - 01 - Articolo su rivista
paper: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (Chichester, West Sussex, UK] : John Wiley & Sons, Ltd., c1994-) pp. - - issn: 1099-1506 - wos: WOS:001032383400001 (0) - scopus: 2-s2.0-85165307905 (0)

2108/345824 - 2023 - A proposal for ranking through selective computation of centrality measures
Bertaccini, Daniele; Filippo, Alessandro - 01 - Articolo su rivista
paper: PLOS ONE (San Francisco, CA : Public Library of Science) pp. - - issn: 1932-6203 - wos: WOS:001067529900006 (0) - scopus: 2-s2.0-85171698093 (0)

2108/308960 - 2022 - Nonlocal diffusion of variable order on complex networks
Bertaccini, Daniele - 01 - Articolo su rivista
paper: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS. COMPUTER SYSTEMS THEORY (Oxford United Kingdom: Taylor & Francis Publishers, 2016-) pp. 172-191 - issn: 2379-9927 - wos: WOS:000879882800002 (3) - scopus: 2-s2.0-85138164479 (3)

2108/296611 - 2021 - Computing function of large matrices by a preconditioned rational Krylov method
Bertaccini, Daniele - 03 - Contributo in libro
book: Numerical mathematics and advanced applications ENUMATH 2019 - (978-3-030-55873-4)

2108/262505 - 2020 - Non-local network dynamics via fractional graph Laplacians
Bertaccini, Daniele - 01 - Articolo su rivista
paper: JOURNAL OF COMPLEX NETWORKS (Oxford : Oxford University Press, 2013-) pp. - - issn: 2051-1310 - wos: WOS:000557602100002 (17) - scopus: 2-s2.0-85090167481 (24)

2108/230724 - 2020 - Computing functions of very large matrices with small TT/QTT ranks by quadrature formulas
Bertaccini, Daniele - 01 - Articolo su rivista
paper: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (Elsevier BV:PO Box 211, 1000 AE Amsterdam Netherlands:011 31 20 4853757, 011 31 20 4853642, 011 31 20 4853641, EMAIL: nlinfo-f@elsevier.nl, INTERNET: http://www.elsevier.nl, Fax: 011 31 20 4853598) pp. 112663- - issn: 0377-0427 - wos: WOS:000510957900014 (1) - scopus: 2-s2.0-85076680980 (1)

2108/230726 - 2019 - Rational Krylov methods for functions of matrices with applications to fractional partial differential equations
Bertaccini, Daniele - 01 - Articolo su rivista
paper: JOURNAL OF COMPUTATIONAL PHYSICS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 470-482 - issn: 0021-9991 - wos: WOS:000481732600025 (15) - scopus: 2-s2.0-85071065534 (16)

2108/215046 - 2019 - Efficient approximation of functions of some large matrices by partial fraction expansions
Bertaccini, Daniele - 01 - Articolo su rivista
paper: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (Taylor & Francis Limited:Rankine Road, Basingstoke RG24 8PR United Kingdom:011 44 1256 813035, EMAIL: madeline.sims@tandf.co.uk, info@tandf.co.uk, INTERNET: http://www.tandf.co.uk, Fax: 011 44 1256 330245) pp. 1799-1817 - issn: 0020-7160 - wos: WOS:000476945800007 (4) - scopus: 2-s2.0-85071979753 (5)

2108/215042 - 2019 - Block structured preconditioners in tensor form for the all-at-once solution of a finite volume fractional diffusion equation
Bertaccini, Daniele - 01 - Articolo su rivista
paper: APPLIED MATHEMATICS LETTERS (-oxford, United Kingdom: Elsevier Science Limited -Oxford; New York: Pergamon.) pp. 92-97 - issn: 0893-9659 - wos: WOS:000471089000014 (15) - scopus: 2-s2.0-85063882250 (15)

2108/215040 - 2019 - Efficient preconditioner updates for semilinear space–time fractional reaction–diffusion equations
Bertaccini, Daniele - 03 - Contributo in libro
book: Springer INdAM Series - (978-3-030-04087-1)

2108/215317 - 2018 - Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications
Bertaccini, Daniele - 04 - Monografia

2108/203661 - 2018 - Limited memory block preconditioners for fast solution of fractional partial differential equations
Bertaccini, Daniele - 01 - Articolo su rivista
paper: JOURNAL OF SCIENTIFIC COMPUTING (New York :SPRINGER/PLENUM PUBLISHERS New York : Plenum Press, c1986-) pp. 950-970 - issn: 0885-7474 - wos: WOS:000446594600012 (17) - scopus: 2-s2.0-85046780596 (17)

2108/203659 - 2017 - Optimizing a multigrid Runge–Kutta smoother for variable-coefficient convection–diffusion equations
Bertaccini, Daniele - 01 - Articolo su rivista
paper: LINEAR ALGEBRA AND ITS APPLICATIONS (Elsevier Science Incorporated / NY Journals:Madison Square Station, PO Box 882:New York, NY 10159:(212)633-3730, EMAIL: usinfo-f@elsevier.com, INTERNET: http://www.elsevier.com, Fax: (212)633-3680) pp. 507-535 - issn: 0024-3795 - wos: WOS:000412965500026 (12) - scopus: 2-s2.0-85027895597 (12)

2108/203657 - 2017 - Solving mixed classical and fractional partial differential equations using short–memory principle and approximate inverses
Bertaccini, Daniele - 01 - Articolo su rivista
paper: NUMERICAL ALGORITHMS (Springer US Bussum Netherlands: Baltzer Science Publishers) pp. 1061-1082 - issn: 1017-1398 - wos: WOS:000398722400006 (17) - scopus: 2-s2.0-84981187534 (18)

2108/203655 - 2016 - Sparse approximate inverse preconditioners on high performance GPU platforms
Bertaccini, Daniele; Filippone, Salvatore - 01 - Articolo su rivista
paper: COMPUTERS & MATHEMATICS WITH APPLICATIONS (Kidlington Oxford: Elsevier Science Limited Oxford: Pergamon Press) pp. 693-711 - issn: 0898-1221 - wos: WOS:000370889900001 (24) - scopus: 2-s2.0-84959519599 (28)

2108/203648 - 2016 - Interpolating preconditioners for the solution of sequence of linear systems
Bertaccini, Daniele - 01 - Articolo su rivista
paper: COMPUTERS & MATHEMATICS WITH APPLICATIONS (Kidlington Oxford: Elsevier Science Limited Oxford: Pergamon Press) pp. 1118-1130 - issn: 0898-1221 - wos: WOS:000381532400022 (10) - scopus: 2-s2.0-84978818958 (12)

2108/165534 - 2015 - Delayed stiffness cochlear model
Moleti, Arturo; Bertaccini, Daniele - 02 - Intervento a convegno
conference: 22nd International Congress on Sound and Vibration, ICSV 2015 (Florence, Italy)
book: Proceedings of the 22nd International Congress on Sound and Vibration - (978-888894248-3)

2108/96771 - 2014 - Approximate Inverse Preconditioners for Krylov Methods on Heterogeneous Parallel Computers
Bertaccini, Daniele; Filippone, Salvatore - 03 - Contributo in libro
book: Parallel Computing: Accelerating Computational Science and Engineering (CSE). ADVANCES IN PARALLEL COMPUTING - (978-1-61499-380-3)

2108/91172 - 2013 - Complessità e iterazione
Bertaccini, Daniele; Di Fiore, Carmine; Zellini, Paolo - 04 - Monografia

2108/101372 - 2013 - Numerical simulations of the Transient-evoked Otoacoustic response
Moleti, Arturo; Bertaccini, Daniele - 02 - Intervento a convegno
conference: AIA-DAGA 2013 (Meran)
book: Proceedings of the International Conference on Acoustics AIA-DAGA 2013 - ()

2108/79729 - 2013 - Generation place of the long- and short-latency components of transient-evoked otoacoustic emissions in a nonlinear cochlear model
Moleti, Arturo; Bertaccini, Daniele - 01 - Articolo su rivista
paper: THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (American Institute of Physics:2 Huntington Quadrangle, Suite 1NO1:Melville, NY 11747:(800)344-6902, (631)576-2287, EMAIL: subs@aip.org, INTERNET: http://www.aip.org, Fax: (516)349-9704) pp. 4098-4108 - issn: 0001-4966 - wos: WOS:000320173600051 (24) - scopus: 2-s2.0-84878929436 (27)

2108/96769 - 2012 - An Adaptive Norm Algorithm for Image Restoration
Bertaccini, Daniele - 03 - Contributo in libro
book: Scale Space and Variational Methods in Computer Vision - (978-3-642-24784-2)

2108/48187 - 2011 - Nonsymmetric Preconditioner Updates in Newton–Krylov Methods for Nonlinear Systems
Bertaccini, Daniele - 01 - Articolo su rivista
paper: SIAM JOURNAL ON SCIENTIFIC COMPUTING (Philadelphia PA: Society for Industrial and Applied Mathematics, c1993-) pp. 2595-2619 - issn: 1064-8275 - wos: WOS:000296591200022 (26) - scopus: 2-s2.0-81555201665 (29)

2108/37557 - 2011 - Distortion products and backward-traveling waves in nonlinear active models of the cochlea
Moleti, Arturo; Bertaccini, Daniele - 01 - Articolo su rivista
paper: THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (American Institute of Physics:2 Huntington Quadrangle, Suite 1NO1:Melville, NY 11747:(800)344-6902, (631)576-2287, EMAIL: subs@aip.org, INTERNET: http://www.aip.org, Fax: (516)349-9704) pp. 3141-3152 - issn: 0001-4966 - wos: WOS:000290450400048 (20) - scopus: 2-s2.0-79959596331 (20)

2108/37558 - 2011 - Fast numerical solution of nonlinear nonlocal cochlear models
Bertaccini, Daniele - 01 - Articolo su rivista
paper: JOURNAL OF COMPUTATIONAL PHYSICS (Academic Press Incorporated:6277 Sea Harbor Drive:Orlando, FL 32887:(800)543-9534, (407)345-4100, EMAIL: ap@acad.com, INTERNET: http://www.idealibrary.com, Fax: (407)352-3445) pp. 2575-2587 - issn: 0021-9991 - wos: WOS:000288415200013 (16) - scopus: 2-s2.0-79951510318 (15)

2108/8352 - 2010 - A flexible updating framework for preconditioners in PDE-based image restoration algorithms
Bertaccini, Daniele - 03 - Contributo in libro
book: Numerical Mathematics and Advanced Applications 2009 - (978-3-642-11794-7)

2108/29153 - 2010 - Quasi Matrix Free Preconditioners in Optimization and Nonlinear Least-Squares
Bertaccini, Daniele - 01 - Articolo su rivista
paper: AIP CONFERENCE PROCEEDINGS (New York : American Institute of Physics, 1970-) pp. 1036-1039 - issn: 0094-243X - wos: WOS:000289661500276 (1) - scopus: 2-s2.0-79954458602 (1)

2108/345825 - 2010 - Symposium: Nonlinear computational techniques with applications to image restoration and cochlear modeling
Bertaccini, Daniele - 02 - Intervento a convegno
conference: ICNAAM2010 (Rhodes)

2108/96765 - 2010 - Numerical Simulations of Otoacoustic Emissions from a Non-linear Non-local Cochlear Model
Moleti, Arturo; Bertaccini, Daniele - 02 - Intervento a convegno
conference: c ()
book: American Institute of Physics Conference Proceedings 1281 - (978-0-7354-0835-7)

2108/29155 - 2010 - Updating preconditioners for nonlinear deblurring and denoising image restoration☆
Bertaccini, Daniele - 01 - Articolo su rivista
paper: APPLIED NUMERICAL MATHEMATICS (Amsterdam: North-Holland) pp. 994-1006 - issn: 0168-9274 - wos: WOS:000281696900003 (13) - scopus: 2-s2.0-77955550832 (14)

2108/8356 - 2010 - Different models of the active cochlea, and how to implement them in the state-space formalism
Moleti, Arturo; Bertaccini, Daniele - 01 - Articolo su rivista
paper: THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (American Institute of Physics:2 Huntington Quadrangle, Suite 1NO1:Melville, NY 11747:(800)344-6902, (631)576-2287, EMAIL: subs@aip.org, INTERNET: http://www.aip.org, Fax: (516)349-9704) pp. 1191-1202 - issn: 0001-4966 - wos: WOS:000281799800031 (20) - scopus: 2-s2.0-77956412438 (22)

2108/27793 - 2009 - Computational and conditioning issues of a discrete model for cochlear sensorineural hypoacusia
Bertaccini, Daniele; Fanelli, Stefano - 01 - Articolo su rivista
paper: APPLIED NUMERICAL MATHEMATICS (Amsterdam: North-Holland) pp. 1989-2001 - issn: 0168-9274 - wos: WOS:000267210500019 (3) - scopus: 2-s2.0-67349159066 (4)

2108/13913 - 2009 - Otoacoustic emissions in time-domain solutions of nonlinear non-local cochlear models
Moleti, Arturo; Bertaccini, Daniele - 01 - Articolo su rivista
paper: THE JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA (American Institute of Physics:2 Huntington Quadrangle, Suite 1NO1:Melville, NY 11747:(800)344-6902, (631)576-2287, EMAIL: subs@aip.org, INTERNET: http://www.aip.org, Fax: (516)349-9704) pp. 2425-2436 - issn: 0001-4966 - wos: WOS:000271507000042 (24) - scopus: 2-s2.0-70449372023 (31)

2108/29117 - 2008 - Block preconditioning of real-valued iterative algorithms for complex linear systems
Bertaccini, Daniele - 01 - Articolo su rivista
paper: IMA JOURNAL OF NUMERICAL ANALYSIS (Oxford University Press:Journals Department, Great Clarendon Street, Oxford OX2 6DP United Kingdom:011 44 1865 556767, EMAIL: jnlorders@oup.co.uk, INTERNET: http://www.oup.co.uk, Fax: 011 44 1865 267485) pp. 598-618 - issn: 0272-4979 - wos: WOS:000257181900008 (159) - scopus: 2-s2.0-46349108771 (162)

2108/48211 - 2007 - Spectral analysis of a preconditioned iterative method for the convection-diffusion equation
Bertaccini, Daniele - 01 - Articolo su rivista
paper: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (editori indicati: SIAM PUBLICATIONS, 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, USA, PA, 19104-2688 Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999) pp. 260-278 - issn: 0895-4798 - wos: WOS:000245031700016 (17) - scopus: 2-s2.0-39449093462 (18)

2108/34865 - 2007 - Spectral analysis of nonsymmetric quasi-toeplitz matrices with applications to preconditioned multistep formulas
Bertaccini, Daniele - 01 - Articolo su rivista
paper: SIAM JOURNAL ON NUMERICAL ANALYSIS (Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999) pp. 2345-2367 - issn: 0036-1429 - wos: WOS:000253017000004 (6) - scopus: 2-s2.0-55549121945 (6)

2108/34893 - 2007 - Fast simulation of solid tumors thermal ablation treatments with a 3D reaction diffusion model☆
Bertaccini, Daniele - 01 - Articolo su rivista
paper: COMPUTERS IN BIOLOGY AND MEDICINE (Elsevier Science Limited:Oxford Fulfillment Center, PO Box 800, Kidlington Oxford OX5 1DX United Kingdom:011 44 1865 843000, 011 44 1865 843699, EMAIL: asianfo@elsevier.com, tcb@elsevier.co.UK, INTERNET: http://www.elsevier.com, http://www.elsevier.com/locate/shpsa/, Fax: 011 44 1865 843010) pp. 1173-1182 - issn: 0010-4825 - wos: WOS:000248494500015 (5) - scopus: 2-s2.0-34250827841 (4)

2108/32391 - 2005 - Preconditioned HSS methods for the solution of non-Hermitian positive definite linear systems and applications to the discrete convection-diffusion equation
Bertaccini, Daniele - 01 - Articolo su rivista
paper: NUMERISCHE MATHEMATIK (Springer Verlag Germany:Tiergartenstrasse 17, D 69121 Heidelberg Germany:011 49 6221 3450, EMAIL: g.braun@springer.de, INTERNET: http://www.springer.de, Fax: 011 49 6221 345229) pp. 441-484 - issn: 0029-599X - wos: WOS:000226303900003 (69) - scopus: 2-s2.0-12944291389 (74)

2108/37556 - 2005 - The eigenvalues of preconditioned matrices for linear multistep formulas in boundary value form
Bertaccini, Daniele - 01 - Articolo su rivista
paper: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (John Wiley & Sons Limited:1 Oldlands Way, Bognor Regis, P022 9SA United Kingdom:011 44 1243 779777, EMAIL: cs-journals@wiley.co.uk, INTERNET: http://www.wiley.co.uk, Fax: 011 44 1243 843232) pp. 315-325 - issn: 1070-5325 - wos: WOS:000228112200025 (1) - scopus: 2-s2.0-20744441827 (1)

2108/37555 - 2005 - How to Deduce a Proper Eigenvalue Cluster from a Proper Singular Value Cluster in the Nonnormal Case
Bertaccini, Daniele - 01 - Articolo su rivista
paper: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS (editori indicati: SIAM PUBLICATIONS, 3600 UNIV CITY SCIENCE CENTER, PHILADELPHIA, USA, PA, 19104-2688 Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999) pp. 82-86 - issn: 0895-4798 - wos: WOS:000232028400006 (18) - scopus: 2-s2.0-33144489192 (19)

2108/32389 - 2004 - Efficient preconditioning for sequences of parametric complex symmetric linear systems
Bertaccini, Daniele - 01 - Articolo su rivista
paper: ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS (KENT STATE UNIVERSITY, ETNA, DEPT MATHEMATICS & COMPUTER SCIENCE, KENT, USA, OH, 44242-0001) pp. 49-64 - issn: 1068-9613 - wos: WOS:000230166700003 (129) - scopus: 2-s2.0-22744450197 (137)

2108/263312 - 2003 - Band-Toeplitz preconditioned GMRES iterations for time-dependent PDEs
Bertaccini, Daniele - 01 - Articolo su rivista
paper: BIT (Lund: Institutionen for informationsbehandling, Lunds Universitet.) pp. 901-914 - issn: 0006-3835 - wos: WOS:000188719300006 (15) - scopus: 2-s2.0-4043123210 (14)

2108/48173 - 2003 - Approximate inverse preconditioning for shifted linear systems
Bertaccini, Daniele - 01 - Articolo su rivista
paper: BIT () pp. 231-244 - issn: - wos: WOS:000187391100001 (57) - scopus: 2-s2.0-4043133030 (63)

2108/48214 - 2003 - Block {ω}-circulant preconditioners for the systems of differential equations
Bertaccini, Daniele - 01 - Articolo su rivista
paper: CALCOLO (attuale: Roma : Springer Verlag Italia precedente: Giardini Editori Stampatori:via Santa Bibbiana 28, 56127 Pisa Italy:011 39 50 934242, Fax: 011 39 50 934200) pp. 71-90 - issn: 0008-0624 - wos: WOS:000183779300001 (31) - scopus: 2-s2.0-0042914754 (31)

2108/263314 - 2002 - The spectrum of circulant-like preconditioners for some general linear multistep formulas for linear boundary value problems
Bertaccini, Daniele - 01 - Articolo su rivista
paper: SIAM JOURNAL ON NUMERICAL ANALYSIS (Society for Industrial and Applied Mathematics:3600 University City Science Center:Philadelphia, PA 19104:(800)447-7426, (215)382-9800, EMAIL: service@siam.org, INTERNET: http://www.siam.org, Fax: (215)386-7999) pp. 1798-1822 - issn: 0036-1429 - wos: WOS:000180172100010 (10) - scopus: 2-s2.0-0042602255 (8)

2108/263318 - 2001 - Reliable preconditioned iterative linear solvers for some numerical integrators
Bertaccini, Daniele - 01 - Articolo su rivista
paper: NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS (John Wiley & Sons Limited:1 Oldlands Way, Bognor Regis, P022 9SA United Kingdom:011 44 1243 779777, EMAIL: cs-journals@wiley.co.uk, INTERNET: http://www.wiley.co.uk, Fax: 011 44 1243 843232) pp. 111-125 - issn: 1070-5325 - wos: WOS:000167444200004 (21) - scopus: 2-s2.0-0035578458 (18)

2108/263324 - 2001 - Skew-circulant preconditioners for systems of LMF-based ODE codes
Bertaccini, Daniele - 03 - Contributo in libro
book: Numerical analysis and its applications: second International Conference, NAA 2000 Rousse, Bulgaria, June 11–15, 2000 : revised papers - (978-3-540-41814-6)

2108/72487 - 2001 - A Circulant Preconditioner for the Systems of LMF-Based ODE Codes
Bertaccini, Daniele - 01 - Articolo su rivista
paper: SIAM JOURNAL ON SCIENTIFIC COMPUTING (Philadelphia PA: Society for Industrial and Applied Mathematics, c1993-) pp. 767- - issn: 1064-8275 - wos: WOS:000089906900001 (49) - scopus: 2-s2.0-0034975734 (46)

2108/48213 - 2001 - The Convergence Rate of Block Preconditioned Systems Arising From LMF-Based ODE Codes
Bertaccini, Daniele - 01 - Articolo su rivista
paper: BIT (Lund: Institutionen for informationsbehandling, Lunds Universitet.) pp. 433-450 - issn: 0006-3835 - wos: WOS:000171285500001 (12) - scopus: 2-s2.0-0043142566 (12)

2108/263321 - 1997 - Simulation of a filtration in a deformable porous medium. A numerical approach
Bertaccini, Daniele - 01 - Articolo su rivista
paper: NONLINEAR ANALYSIS (Oxford, United Kingdom: Elsevier Science Limited) pp. 663-668 - issn: 0362-546X - wos: WOS:000071119500078 (0) - scopus: 2-s2.0-0042046321 (0)

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