Updated November 3, 2023

List of all the publications

Michela Redivo-Zaglia

Books

Scientific books in English

L1
C. BREZINSKI, M. REDIVO ZAGLIA Extrapolation Methods. Theory and Practice , Studies in Computational Mathematics, North-Holland, Amsterdam, 1991, pp. 464+magnetic support, ISBN-10:0444888144; ISBN-13:978-0444888143; eBook ISBN:9780080506227. MR1140920 (93d:65001). Library also downloadable here.
L2
C. BREZINSKI, M. REDIVO-ZAGLIA, Extrapolation and Rational Approximation. The Works of the Main Contributors, Springer Nature, Cham, Switzerland, 2020, VIII+406pp. ISBN 978-3-030-58417-7, ISBN e-book 978-3-030-58418-4, doi: 10.1007/978-3-030-58418-4. MR4236774.
L3
C. BREZINSKI, G. MEURANT, M. REDIVO-ZAGLIA, A Journey through the History of Numerical Linear Algebra, SIAM (Society for Industrial and Applied Mathematics), 2022, xx + 792pp. ISBN: 978-1-611977-22-6. MR4539628.
L4
C. BREZINSKI, M. REDIVO ZAGLIA History of Orthogonal Polynomials, in preparation.

Books in French

L5
C. BREZINSKI, M. REDIVO ZAGLIA, Méthodes Numériques Itératives. Algèbre Linéaire et Non Linéaire. Ed. Ellipses (France), 2006, pp. 1-306, ISBN: 2-7298-2887-7.
L6
C. BREZINSKI, M. REDIVO ZAGLIA, Méthodes Numériques Directes de l’Algèbre Matricielle. Ed. Ellipses (France), 2004, pp. 0-x+144, ISBN: 2-7298-2246-1.

Books in Italian

L7
M. REDIVO ZAGLIA, Calcolo Numerico: Esercizi, Padova, Ed. Libreria Progetto, 2009, pp. 0-viii-212. 2a Ed., p. 0-viii-309, 2011. ISBN: 978-88-87331-99-8.
L8
M. REDIVO ZAGLIA, Calcolo Numerico: Metodi ed Algoritmi, Padova, Ed. Libreria Progetto, 2003, pp. xi-248. Seconda ed. 2005, pp. 0-xii-356. Terza ed. 2007, pp. 0-xiv-368. Quarta ed. 2009, pp. 0-xiv-403. Quarta ed. riveduta 2011, pp. 0-xiv-403 ISBN: 88-87331-49-9.
L9
M. REDIVO ZAGLIA, Esercizi di Fondamenti di Informatica (Pascal e Fortran), Volume unico, Padova, Ed. Libreria Progetto, 1999, pp. x-380. Edizione riveduta ed aggiornata dei volumi primo (1995, pp. viii-198 e 1997, pp. x-256) e secondo (1996, pp. viii-85).
L10
M. REDIVO ZAGLIA, UNIX AT&T SYSTEM V. Presentazione ed Introduzione all’uso, CLEUP Editore, Padova, prima edizione, aprile 1987, XVI+319 pagine, seconda edizione riveduta ed aggiornata, novembre 1988, pp. XVIII+373, ISBN: 8871783026.

Articles in refereed journals

In preparation

IP1
C. BREZINSKI, M. REDIVO-ZAGLIA, Treatment of near-breakdown in the conjugate gradient algorithm.
IP2
C. BREZINSKI, C. FENU, M. REDIVO-ZAGLIA, G. RODRIGUEZ, Parameter choice rules for discrete ill-posed problems based on extrapolation methods.
IP3
C. BREZINSKI, M. REDIVO-ZAGLIA, H. SADOK, Hybrid method and QMR algorithm.

Recent papers (published from 2020)

The articles are listed in ascending chronological order.

RP1
C. BREZINSKI, M. REDIVO-ZAGLIA, Some unusual results on extrapolation methods, Numer. Algorithms, 84 (2020) 1241-1264, doi:10.1007/s11075-019-00782-y. MR4122740.
RP2
S. CIPOLLA, M. REDIVO-ZAGLIA, F. TUDISCO, Shifted and extrapolated power sequences for tensor p-eigenpairs, Electron. Trans. Numer. Anal. 53 (2020) 1–27, doi:
10.1553/etna_vol53s1. MR4068737.
RP3
S. CIPOLLA, M. REDIVO-ZAGLIA, F. TUDISCO, Extrapolation Methods for fixed point multilinear PageRank computations, Numer. Linear Algebra Appl. (NLAA) 27 (2020) e2280, 22pp, doi:10.1002/nla.2280. MR4069728.
RP4
C. BREZINSKI, F.A. NORMAN, M. REDIVO-ZAGLIA, The Legacy of Peter Wynn, Mathematics, 9 (2021) 1240. doi: 10.3390/math9111240.
RP5
C. BREZINSKI, M. REDIVO-ZAGLIA, A survey of Shanks’ extrapolation methods and their applications (in English), Comput. Math. Math. Phys., 61 (2021) 699-718, doi: 10.1134/S0965542521050067, MR4280880; published also in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2021, Vol. 61, No. 5, pp. 723–743 (in Russian), doi: 10.31857/S0044466921050069.
RP6
C. BREZINSKI, S. CIPOLLA, M. REDIVO-ZAGLIA, Y. SAAD, Shanks and Anderson-type acceleration techniques for systems of nonlinear equations, IMA J. Numer. Anal., 42 (2022), 3058-3093. doi: 10.1093/imanum/drab061. MR4497809
RP7
C. BREZINSKI, M. REDIVO-ZAGLIA, Extrapolation and prediction of sequences in a vector space, J. Comput. Appl. Math., 409 (2022) Paper 114164, 10 pp. doi: 10.1016/j.cam.2022.114164. MR4383140
RP8
C. BREZINSKI, M. REDIVO-ZAGLIA, A. SALAM, On the kernel of vector ε-algorithm and related topics, Numer. Algorithms 92 (2023) 207-221. doi: 10.1007/s11075-022-01358-z. MR4530335.
RP9
S. CIPOLLA, S. POZZA, M. REDIVO-ZAGLIA, N. VAN BUGGENHOUT, A Lanczos-type procedure for tensors, Numer. Algorithms, 92 (2023) 377-406. doi: 10.1007/s11075-022-01351-6. MR4530341.
RP10
C. BREZINSKI, M. REDIVO-ZAGLIA, Reuben Louis Rosenberg (1909-1986) and the Stein-Rosenberg theorem, Electron. Trans. Numer. Anal. 58 (2023), A1-A38. doi:10.1553/etna_vol58sA1. MR4639056.
RP11
C. BREZINSKI, M. REDIVO-ZAGLIA, A family of new expansions and generating functions for Chebyshev polynomials based on a work by Laplace, submitted.

Published Papers (before 2020)

The articles are listed according to the main research topics and in descending chronological order.

Numerical Linear and Nonlinear Algebra, Software and Applications

A1
C. BREZINSKI, M. REDIVO-ZAGLIA, Extrapolation methods for the numerical solution of nonlinear Fredholm integral equations, J. Integral Equations Appl. 31 (2019), 29-57, published online November 10, 2017, doi:10.1216/JIE-2019-31-1-29. MR3974982.
A2
C. BREZINSKI, M. REDIVO-ZAGLIA, Matrix Shanks Transformations, Electron. J. Linear Al. (ELA) 35 (2019), 248-265, doi: 10.13001/1081-3810.3925. MR3982284.
A3
C. BREZINSKI, M. REDIVO-ZAGLIA, The genesis and early developments of Aitken’s process, Shanks’ transformation, the ε–algorithm, and related fixed point methods, Numer. Algorithms, 80 (2019) 11-133, published online August 23, 2018, doi: 10.1007/s11075-018-0567-2.
A4
C. BREZINSKI, M. REDIVO-ZAGLIA, Y. SAAD, Shanks sequence transformations and Anderson acceleration, SIAM Rev. 60-3 (2018), 646-669, doi: 10.1137/17M1120725. MR3841161
A5
C. BREZINSKI, M. REDIVO ZAGLIA, The simplified topological ε-algorithms: software and applications, Numer. Algorithms, 74 (2017) 1237-1260, doi: 10.1007/s11075-016-0238-0. MR3626336
A6
C. BREZINSKI, M. REDIVO ZAGLIA Convergence acceleration of Kaczmarz’s method, J. Eng. Math., 93 (2015) 3–19, doi: 10.1007/s10665-013-9656-3. MR3386089
A7
C. BREZINSKI, M. REDIVO ZAGLIA, The simplified topological ε-algorithms for accelerating sequences in a vector space, SIAM J. Sci. Comput, 36-5 (2014), pp. A2227-A2247, doi: 10.1137/140957044. MR3261613
A8
P. NOVATI, M. REDIVO ZAGLIA, M.R. RUSSO, Preconditioning linear systems via matrix function evaluation, App. Numer. Math., 62 (2012) 1804–1818,
doi: 10.1016/j.apnum.2012.07.001. MR2980736
A9
M. REDIVO ZAGLIA, G. RODRIGUEZ, SMT: a Matlab structured matrices toolbox, Numer. Algorithms, 59 (2012) 639–659, doi: 10.1007/s11075-011-9527-9. MR2892570
A10
C. BREZINSKI, P. NOVATI, M. REDIVO ZAGLIA, A rational Arnoldi approach for ill-conditioned linear systems, J. Comput. Appl. Math., 236 (2012) 2063–2077,
doi:10.1016/j.cam.2011.09.032. MR2876672
A11
C. BREZINSKI, M. REDIVO ZAGLIA, A review of vector convergence acceleration methods, with applications to linear algebra problems, Intern. J. Quantum Chem., 109 (2009) 1631-1639, doi: 10.1002/qua.21931.
A12
C. BREZINSKI, M. REDIVO ZAGLIA, Le classement des pages du web par les moteurs de recherche, Matapli, vol. 85, 47–57, ISSN: 0762-5707, février 2008. MR2529007 (2010g:68022).
A13
C. BREZINSKI, M. REDIVO ZAGLIA, Rational extrapolation for the PageRank vector, Math. Comput., 77 (2008) 1585–1598, ISSN: 0025-5718, doi: 10.1090/S0025-5718-08-02086-3. MR2398781 (2009d:68171).
A14
C. BREZINSKI, M. REDIVO ZAGLIA, The PageRank vector: properties, computation, approximation, and acceleration, SIAM J. Matrix Anal. Appl., 28 (2006) 551–575,
doi: 10.1137/050626612. MR2255342 (2007h:68205)
A15
C. BREZINSKI, M. REDIVO ZAGLIA, S. SERRA-CAPIZZANO, Extrapolation methods for PageRank computations, C.R. Acad. Sci. Paris, Sér. I, 340 (2005) 393–397,
doi: 10.1016/j.crma.2005.01.015. MR2127117.
A16
M. REDIVO ZAGLIA, Pseudo-Schur complements and their properties, Appl. Numer. Math., 50 (2004) 511-519, doi: 10.1016/j.apnum.2004.05.004. MR2074017 (2005b:15010).
A17
C. BREZINSKI, M. REDIVO ZAGLIA, A Schur complement approach to a general extrapolation algorithm, Linear Algebra Appl., 368 (2003) 279–301, doi: 10.1016/S0024-3795(02)00686-9. MR1983209 (2004d:65008).
A18
C. BREZINSKI, M. REDIVO ZAGLIA, G. RODRIGUEZ, S. SEATZU, Multi-parameter regularization techniques for ill-conditioned linear systems, Numer. Math., 94 (2003) 203–228, doi: 10.1007/s00211-002-0435-8. MR1974554 (2004b:65057).
A19
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, A review of formal orthogonality in Lanczos–based methods, J. Comput. Appl. Math., 140 (2002) 81–98, doi: 10.1016/S0377-0427(01)00412-5 MR1933232.
A20
C. BREZINSKI, M. REDIVO ZAGLIA, Block projection methods for linear systems, Numer. Algorithms, 29 (2002) 33–43, doi: 10.1023/A:1014847603659. MR1896944 (2003g:65039).
A21
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, The matrix and polynomial approaches to Lanczos–type algorithms, J. Comput. Appl. Math., 123 (2000) 241–260, doi: 10.1016/S0377-0427(00)00397-6. MR1798528 (2001i:65041).
A22
C. BREZINSKI, M. REDIVO ZAGLIA, Variations on Lanczos’ tridiagonalization process, Calcolo, 37 (2000) 159–179, doi: 10.1007/s100920070007. MR1790329 (2001h:65049).
A23
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, New look-ahead Lanczos–type algorithms for solving linear systems, Numer. Math., 83 (1999) 53–85, doi: 10.1007/s002110050439. MR1702607 (2000d:65069).
A24
C. BREZINSKI, M. REDIVO ZAGLIA, G. RODRIGUEZ, S. SEATZU, Extrapolation techniques for ill-conditioned linear systems, Numer. Math. 81 (1998) 1-29,
doi: 10.1007/s002110050382. MR1657714 (99j:65069).
A25
C. BREZINSKI, M. REDIVO ZAGLIA, Transpose-free Lanczos-type algorithms for nonsymmetric linear systems, Numer. Algorithms, 17 (1998) 67–103, doi: 10.1023/A:1012085428800. MR1628482 (99g:65050).
A26
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, Breakdowns in the implementation of the Lanczos method for solving linear systems, Comput. Math. Appl., Vol.33, n.1/2 (1997) 31–44, doi: 10.1016/S0898-1221(96)00217-9. MR1442059 (98d:65052).
A27
C. BREZINSKI, M. REDIVO ZAGLIA, Vector and matrix sequence transformations based on biorthogonality, Appl. Numer. Math., 21 (1996) 353–373, doi: 10.1016/S0168-9274(96)00019-0. MR1423424 (98a:65005).
A28
C. BREZINSKI, M. REDIVO ZAGLIA, A look–ahead strategy for the implementation of some old and new extrapolation methods, Numer. Algorithms, 11 (1996) 35–55,
doi: 10.1007/BF02142487. MR1383375 (97b:65004).
A29
C. BREZINSKI, M. REDIVO ZAGLIA, Look-ahead in bi-cgstab and other methods for linear systems, BIT 35 (1995) 169–201, doi: 10.1007/BF01737161. MR1429013 (97m:65056).
A30
C. BREZINSKI, M. MORANDI CECCHI, M. REDIVO ZAGLIA, The reverse bordering method, SIAM J. Matrix Anal. Appl., 15 (1994) 922–937, doi: 10.1137/S0895479892227761. MR1282703 (95b:65061).
A31
C. BREZINSKI, M. REDIVO ZAGLIA, Treatment of near-breakdown in the CGS algorithm, Numer. Algorithms, 7 (1994) 33–73, doi: 10.1007/BF02141260. MR1283334 (95b:65039).
A32
C. BREZINSKI, M. REDIVO ZAGLIA, Hybrid procedures for solving linear systems, Numer. Math., 67 (1994) 1–19, doi: 10.1007/s002110050015. MR1258972 (94k:65042).
A33
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, A breakdown-free Lanczos type method for solving linear systems, Numer. Math., 63 (1992) 29–38, doi: 10.1007/BF01385846. MR1182510 (93f:65028).
A34
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, Addendum to “Avoiding breakdown and near-breakdown in Lanczos type algorithms”, Numer. Algorithms, 2 (1992) 133–136, doi: 10.1007/BF02145381. MR1165901.
A35
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, Avoiding breakdown and near-breakdown in Lanczos type algorithms, Numer. Algorithms, 1 (1991) 261–284, doi: 10.1007/BF02142326. MR1135297 (92j:65041).

Approximation theory and Numerical Approximation

A36
C. BREZINSKI, M. REDIVO-ZAGLIA, Hirota’s bilinear method, Shanks’ transformation, and the ε–algorithms, Rev. Roumaine Math. Pures Appl. (Romanian Journal of Pure and Applied Mathematics), 63 (2018) 361–375, Ed. Acad. Române, Bucharest. ISSN 0035-3965. MR3892573.
A37
C. BREZINSKI, M. REDIVO ZAGLIA, New representations of Padé, Padé-type, and partial Padé approximants, J. Comput. Appl. Math., 284 (2015) 69–77, doi: 10.1016/j.cam.2014.07.007. MR3319495.
A38
C. BREZINSKI, M. REDIVO ZAGLIA, Padé-type rational and barycentric interpolation, Numer. Math., 125 (2013) 89-113, doi: 10.1007/s00211-013-0535-7. MR3090656.
A39
C. BREZINSKI, Y. HE, X.-B. HU, M. REDIVO ZAGLIA, J.-Q. SUN, Multistep ε-algorithm, Shanks’ transformation, and the Lotka-Volterra system by Hirota’s method , Math. Comput., 81 (2012) 1527–1549, doi:10.1090/S0025-5718-2011-02554-8. MR2904589.
A40
C. BREZINSKI, M. REDIVO ZAGLIA, Extensions of Drummond’s process for convergence acceleration, Appl. Numer. Math, 60 (2010) 1231-1241, doi:10.1016/j.apnum.2010.04.015. MR2735156 (2012c:65004).
A41
C. BREZINSKI, M. REDIVO ZAGLIA, Extended procedures for extrapolation to the limit, J. Comput. Appl. Math., 235 (2010) 631-645, doi:10.1016/j.cam.2010.06.017. MR2719803 (2011j:65006).
A42
C. BREZINSKI, M. REDIVO ZAGLIA, Generalizations of Aitken’s process for accelerating the convergence of sequences, Comput. Appl. Math., 26 (2007) 171–189, doi: 10.1590/S0101-82052007000200001. MR2337707 (2008g:65007).
A43
C. BREZINSKI, M. REDIVO ZAGLIA, New vector sequence transformations, Linear Algebra Appl., 389 (2004) 189–213, doi: 10.1016/j.laa.2004.03.031. MR2080405 (2005h:65006).
A44
C. BREZINSKI, M. REDIVO ZAGLIA, On the kernel of sequence transformations, Appl. Numer. Math. 16 (1994) 239–244, doi: 10.1016/0168-9274(94)00054-9. MR1312863 (95m:65003).
A45
C. BREZINSKI, M. REDIVO ZAGLIA, A general extrapolation procedure revisited, Adv. Comput. Math., 2 (1994) 461–477, doi: 10.1007/BF02521609. MR1294678 (95h:65007).
A46
C. BREZINSKI, M. REDIVO ZAGLIA, Extrapolation methods, Appl. Numer. Math., 15 (1994) 123–131, doi: 10.1016/0168-9274(94)00015-8. MR1298237.
A47
M. MORANDI CECCHI, M. REDIVO ZAGLIA, Computing the coefficients of a recurrence formula for numerical integration by moments and modified moments, J. Comput. Appl. Math., vol.49, n.1–3 (1993) 207–216, doi: 10.1016/0377-0427(93)90152-2. MR1256028 (94m:65041).
A48
M. REDIVO ZAGLIA, Particular rules for the Θ-algorithm, Numer. Algorithms, 3 (1992) 353–369, doi: 10.1007/BF02141943. MR1199382 (93h:65005).
A49
C. BREZINSKI, M. REDIVO ZAGLIA, Construction of extrapolation processes, Appl. Numer. Math., 8 (1991) 11–23, doi: 10.1016/0168-9274(91)90095-H. MR1128615 (92i:65012).

Special functions

A50
C. BREZINSKI, K. DRIVER, M. REDIVO ZAGLIA, Zeros of quadratic quasi–orthogonal order 2 polynomials, Appl. Numer. Math., 135 (2019) 143–145, doi: 10.1016/j.apnum.2018.08.012. MR3860553.
A51
C. BREZINSKI, M. REDIVO ZAGLIA, Shanks function transformations in a vector space, Appl. Numer. Math., 116 (2017) 57-63, doi: 10.1016/j.apnum.2016.06.013. MR3628075.
A52
C. BREZINSKI, K. DRIVER, M. REDIVO ZAGLIA, Quasi–orthogonality with applications to some families of classical orthogonal polynomials, Appl. Numer. Math, 48 (2004) 157-168, doi: 10.1016/j.apnum.2003.10.001. MR2029328 (2004k:33012).
A53
C. BREZINSKI, M. REDIVO ZAGLIA, On the zeros of various kinds of orthogonal polynomials, Ann. Numer. Math., 4 (1997) 67–78, doi: 10.1.1.11.6234. MR1422671 (98b:42039).
A54
C. BREZINSKI, M. REDIVO ZAGLIA, Orthogonal polynomials of dimension -1 in the non-definite case, Rend. Mat. Appl. (7) 14 (1994) 127–133, ISSN 1120-7183. MR1284906 (95e:42022).
A55
C. BREZINSKI, M. REDIVO ZAGLIA, A new presentation of orthogonal polynomials with application to their computation, Numer. Algorithms, 1 (1991) 207–222, doi: 10.1007/BF02142322. MR1135294 (93h:33004).

Miscellanea

A56
C. BREZINSKI, M. REDIVO ZAGLIA, These strange fractions which never end or the history of continued fractions, Math. Epitheo-R., 74 (2010) 102–123, ISSN: 1105-7971 (in Greek).
A57
M. MORANDI CECCHI, M. REDIVO ZAGLIA, G. RUSSO, Extrapolation methods for hyperbolic systems with relaxation, J. Comput. Appl. Math. 66 (1996) 359–375, doi: 10.1016/0377-0427(95)00194-8. MR1393743 (97h:65124).
A58
W. KRAJEWSKI, A. LEPSCHY, M. REDIVO ZAGLIA, U. VIARO, A program for solving the L2 reduced–order model problem with fixed denominator degree, Numer. Algorithms 9 (1995) 355-377, doi: 10.1007/BF02141596. MR1339727 (96c:93059).
A59
W. KRAJEWSKI, A. LEPSCHY, M. REDIVO ZAGLIA, U. VIARO, Results of the application of an algorithm for L2 model reduction, Journ. of Circuits, Systems, and Computer, 4, n. 3 (1994) 295–303, doi: 10.1142/S021812669400017X.
A60
M. MORANDI CECCHI, M. REDIVO ZAGLIA, Mathematical programming techniques to solve biharmonic problems by a recursive projection algorithm, J. Comput. Appl. Math., 32 (1990) 191–201.doi: 10.1016/0377-0427(90)90430-8. MR1091789 (92j:65089)

Articles in refereed proceedings or books

P1
C. BREZINSKI, M. REDIVO ZAGLIA, Le classement des sommets dans les réseaux, Mathématiques pour l’ingénieur: Méthodes numériques, Editions des Techniques de l’Ingénieur, Paris, 2017, AF1527.
P2
C. BREZINSKI, M. REDIVO ZAGLIA, Interpolation, approximation et extrapolation rationnelles [AF 1 390] 2013, pp 1-9, in Mathématiques pour l’ingénieur: Méthodes numériques, Editions des Techniques de l’Ingénieur, Paris, 2013, AF1390, 10 pages.
P3
C. BREZINSKI, M. REDIVO ZAGLIA, Extrapolation and minimization procedures for the PageRank vector in Web Information Retrieval and Linear Algebra Algorithms, Dagstuhl Seminars Proceedings, Andreas Frommer and Michael W. Mahoney and Daniel B. Szyld Editors, vol. 07071, 2007, ISBN/ISSN: 1862-4405. http://drops.dagstuhl.de/opus/volltexte/2007/1068/
P4
C. BREZINSKI, M. REDIVO ZAGLIA, Some numerical analysis problems behind web search in Transgressive Computing 2006, Granada, Spain. Jean-Guillaume Dumas ed., 2006, pp. 401-404. ISBN ISSN: 84-689-8381-0.
P5
C. BREZINSKI, M. REDIVO ZAGLIA, Transpose–free look–ahead algorithms for Lanczos’ method in Applications and Computation of Orthogonal Polynomials (Oberwolfach, 1998), W. Gautschi, G.H. Golub and G. Opfer eds., ISNM 131, Birkhäuser, Basel, 1999, pp. 21–40. MR1722713 (2000i:65065).
P6
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, Problems of breakdown and near–breakdown in Lanczos–based algorithms in Algorithms for Sparse large Scale Linear Algebraic Systems (Gran Canaria, 1996), G. Winter and E. Spedicato eds., NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 508, Kluwer Acad. Publ., Dordrecht, 1998, pp. 255–270. MR1622108 (99g:65052).
P7
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, New look–ahead implementations of Lanczos–type methods in Iterative Methods in Scientific Computation, J. Wang et al eds., Vol. 4, IMACS Series in Computational and Applied Mathematics, 1998, pp. 9–14.
P8
C. BREZINSKI, M. REDIVO ZAGLIA, Coupled implementations of transpose–free Lanczos and Lanczos–type product methods in Iterative Methods in Scientific Computation, J. Wang et al eds., Vol. 4, IMACS Series in Computational and Applied Mathematics, 1998, pp. 3–8.
P9
C. BREZINSKI, M. REDIVO ZAGLIA, Breakdowns in the computation of orthogonal polynomials, in Nonlinear Numer. Methods and Rational Approximation, II (Wilrijk, 1993), A. Cuyt ed., Math. Appl., 296, Kluwer Acad. Publ., Dordrecht, 1994, pp. 49–59. MR1307188 (95i:65022).
P10
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, Orthogonal Polynomials and the Lanczos method, in Numer. Analysis and Mathematical Modelling, Banach Center Publ., 29, Polish Acad. Sci., Warsaw, 1994, pp. 19–33. MR1272916 (95a:65058).
P11
C. BREZINSKI, M. REDIVO ZAGLIA, H. SADOK, A block bordering method for the treatement of breakdown in the bi-conjugate gradient algorithm, in Iterative Methods in Linear Algebra (Brussels, 1991), R. Beauwens and P. de Groen eds., North-Holland, Amsterdam, 1992, pp. 445–447. MR1159753.
P12
M. MORANDI CECCHI, M. REDIVO ZAGLIA, G. SCENNA, Approximation of the numerical solution of parabolic problems, in Computational and applied Mathematics I - Algorithms and theory (Dublin, 1991), C. Brezinski and U. Kulish eds., North-Holland, Amsterdam, 1992, pp. 71–80. MR1203335 (93k:65078).
P13
M. MORANDI CECCHI, M. REDIVO ZAGLIA, A new recursive algorithm for a gaussian quadrature formula via orthogonal polynomials in Orthogonal Polynomials and Their Applications (Erice, 1990), C. Brezinski et al eds., IMACS Ann. Comput. Appl. Math., 9, Baltzer, Basel, 1991, pp. 353–358. MR1270260.
P14
M. MORANDI CECCHI, M. REDIVO ZAGLIA, Methods and applications of numerical hydrology on a drainage basin in Proceeding of the ASCE International Symposium on Sediment Transport Modeling, New Orleans, USA, 14-18 agosto 1989, Sam S.Y.Wang ed., pp. 112-117.

Other publications

V1
P.C. HANSEN, M. REDIVO-ZAGLIA, G. STOCCHINO, Extrapolation techniques for ART methods, Poster in ”Advanced Numerical Techniques for Inverse Problems, with Applications in Imaging Science and Applied Geophysics”, Santa Margherita di Pula (Cagliari, Sardinia, Italy) July 17-21, 2017.
V2
M. REDIVO ZAGLIA, Quaderno MATLAB, Libreria Progetto, 2015-2016-2017.
V3
C. BREZINSKI, A. KARAPIPERI, M. REDIVO ZAGLIA, Convergence acceleration of row action methods, Poster in ”Nonlinear Evolution Equations and Linear Algebra”, Cagliari (Sardinia - Italy), September 2-5, 2013.
V4
F. COSTABILE, M. REDIVO ZAGLIA, Lezioni di Analisi Numerica: Approssimazione ed Autovalori, LAN, Laboratorio di Analisi Numerica, Dipartimento di Matematica, Università della Calabria, Rapporto interno, Serie II, N. 44, 2001, pp. 1-138.
V5
C. BREZINSKI, M. REDIVO ZAGLIA, Transpose-free implementations of Lanczos’ method for nonsymmetric linear systems, Pubblicazione A.N.O., Université des Sciences et Technologies de Lille, 372, June 1997, pp.1-14.
V6
M. REDIVO ZAGLIA, M. MORANDI CECCHI, La détermination des régions logiques par la couleur, AFCET Interfaces, 88-2 (1990) 12–22.
V7
M. REDIVO ZAGLIA, M. MORANDI CECCHI, CO.DE.CO. COntour DEtecting by COlours, Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Rapporto Interno n. 10, 7.3.1989, pp. 1–79.
V8
M. REDIVO ZAGLIA, Standard GKS. Linguaggi grafici ed applicazioni, in Problemi di interazione Uomo-Macchina, Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Rapporto Interno n. 1, 29.10.1988.
V9
A. NATALI, S. ODORIZZI, A. POLI, M. REDIVO ZAGLIA, General Purpose Post-Processor Grafico per Programmi ad Elementi Finiti Bidimensionali, Istituto di Costruzioni, Ponti e Strade, Università degli Studi di Padova, Rapporto interno 2/81, Anno Accademico 1980/81.
V10
M. REDIVO ZAGLIA, Programmazione con FORTRAN G-H, Programma di Educazione Permanente, Centro di Calcolo-Palazzo Sala, Università degli Studi di Padova, Anno Accademico 1976/77, pp. 1–164.

Ph.D. thesis

T1
M. REDIVO ZAGLIA, Extrapolation, Méthodes de Lanczos et Polynômes Orthogonaux: Théorie et Conception de Logiciels, PhD thesis, May 19, 1992, University of Lille I, France, available in the public domain archive here.

Software packages

S1
Extrapolation for nonlinear Fredholm integral equations, public domain Matlab File Exchange package, Link to software. Ref. [A1].
S2
EPSfun toolbox for vector and topological ε-algorithms, public domain netlib Matlab package na44, Download the software. Ref. [A7,A5].
S3
smt: a Matlab toolbox for structured matrices, public domain netlib Matlab package na30, Download the software. Ref. [A9].
S4
L2 reduced-order model problem with fixed denominator degree, public domain netlib Matlab package na8, Download the software. Ref. [A58].
S5
Near-breakdown in CGS, public domain netlib Fortran package na5, Download the software. Ref. [A31].
S6
Avoiding breakdown and near-breakdown in Lanczos type algorithms, public domain netlib Fortran package na1, Download the software. Ref. [A35,A34].
S7
Extrapolation methods library (1991), Fortran library joint to the book Extrapolation methods, theory and practice, Studies in computational mathematics, vol.2, North-Holland, Amsterdam, 1991, 464p. Library also downloadable here. Ref. [L1].

Web sites

W1

The legacy of Peter Wynn. Link to the web site. Ref. [RP4].

Editorial works

E1
Numerical Methods and Scientific Computing (NMSC21), Articles from the International Meeting held in Luminy, France, November 8–12, 2021 (Guest editor: M. Redivo-Zaglia), Numer. Algorithms, 92, issue 1, 2023.
E2
Special Volume 3rd Dolomites Workshop on Constructive Approximation and Applications (DWCAA12), Alba di Canazei (TN), Italy, September 9–14, 2012 (Guest editors: L.P. Bos, S. De Marchi, M. Redivo-Zaglia, M. Vianello), Dolomites Research Notes on Approximation, ISSN: 20356803, Vol. 6, 2013.
E3
Special Volume International Conference on Scientific Computing (SC2012), S. Margherita di Pula (CA), Italy, October 10-14, 2011 (Guest editors: Z.-Z. Bai, M. Gander, M. Gutknecht, G. Meurant, M. Redivo-Zaglia, G. Rodriguez), Numer. Algorithms 60, Nos. 2, 2012.
E4
Special Volume 2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09), Alba di Canazei (TN), Italy, September 4-9, 2009 (Guest editors: C. Brezinski, A. Iske, M. Redivo-Zaglia, S. Seatzu), Calcolo, vol. 48, 2011.
E5
Special Issue Approximation and extrapolation of convergent and divergent sequences and series, CIRM Luminy, France, September 28- October 2, 2009 (Guest editors: C. Brezinski, M. Redivo-Zaglia, E.J. Weniger), App. Numer. Math., 60 (12), 2010.
E6
Special Volume 2nd Dolomites Workshop on Constructive Approximation and Applications (DWCAA09), Alba di Canazei (TN), Italy, September 4-9, 2009 (Guest editors: J. Carnicer, S. de Marchi, M. Redivo-Zaglia, E. Venturino, M. Vianello), Numer. Algorithms 55, Nos. 2-3, 2010.
E7
In Memory of Luigi Gatteschi (Guest editors: G. Allasia, C. Brezinski, M. Redivo-Zaglia), Numer. Algorithms 49 (2008), no. 1-4, pp. 1–427.
E8
International Conference Approximation and Iterative Methods (AMI06) Lille, France, 22-23 giugno 2006 (Guest editors: M. Prévost, M. Redivo-Zaglia, F. Wielonsky), J. Comput. Appl. Math 219 (2008), pp. 327-552.
E9
Conference 1st Dolomites Workshop on Constructive Approximation and Applications (DWCAA06), Canazei (TN), Italy, 8-12 September 2006 (Guest editors: S. de Marchi, M. Redivo-Zaglia, M. Vianello), Numer. Algorithmsn 45 (2007), no 1–4, pp. 1-408.
E10
International Conference on Numerical Algorithms, Vol. I and II, Proceedings of the conference held in Marrakesh, October 1–5, 2001 (Guest editors: M. Redivo-Zaglia, H. Sadok), Numer. Algorithms 33 (2003), no. 1-4, pp. iii–viii, 1–520, and no. 2-4, pp. i–iv, 107–452, Kluwer, Dordrecht, 2003. MR2005546, MR2043887.
E11
Matrix Iterative Analysis and Biorthogonality, Dedicated to the memory of Rüdiger Weiss. Articles from the International Meeting held in Luminy, France, October 2–6, 2000 (Guest editors: C. Brezinski, P. Graves-Morris, M. Redivo-Zaglia, A. Salam), Numer. Algorithms 29 (2002), no. 1-3, Kluwer, Dordrecht, pp. iii–xx and 1–279. MR1896939 (2002k:00036).
E12
In Memory of Wolf Gross (Guest editors: F. Costabile, M. Redivo-Zaglia), Numer. Algorithms 28 (2001), no. 1-4. Kluwer, Dordrecht, 2001. pp. i–iv and 1–327. MR1887743.
E13
Numerical Software, (Guest editor: M. Redivo Zaglia), Numer. Algorithms, 20 (1999), Kluwer, Dordrecht, pp. 1–161.


Michela Redivo Zaglia
Michela.RedivoZaglia@unipd.it