
Sebastiano Seatzu
Retired Full Professor of Numerical Analysis

Sebastiano Seatzu left us on February 13, 2018.
Condolence messages for the family may be sent to
sebastiano@bugs.unica.it.
Curriculum
Sebastiano Seatzu, now retired,
has been a full professor of numerical analysis at the
University of Cagliari in Italy
since 1980. His primary research area is numerical analysis. He
has been coeditor of 3 books and coauthor of 3 books and has
coauthored 86 publications, mostly published in international
journals. He has also coauthored several papers in physics and
chemical physics. His papers in the past 15 years have mainly been
on numerical solutions of integral equations of the first kind,
numerical linear algebra of structured matrices, and numerical
solution of illconditioned systems of linear equations. His
current scientific interests include numerical solution of
integral equations with structured kernels, numerical solution of
nonlinear evolution equations, and analytical and numerical
methods related to the design of photonic crystals. He is
coeditor of
Calcolo
and associate editor of
Advances
in Computational Mathematics.
Prof. Seatzu graduated with honors
with a physics degree from the University of Cagliari in 1965 and
did research on theoretical physics during 19651968 as an
assistant professor of analysis in Cagliari. He then switched his
research area to numerical analysis as he worked as a professor of
analysis in Cagliari during 19681980, primarily working on
approximation theory, numerical solution of integral equations of
the first kind, parameter identification in systems of ODEs, and
numerical solution of systems of linear equations governed by
mono and multiindexed structured matrices. During 19811995
Prof. Seatzu also served as a professor of operations research.
In Cagliari, Prof. Seatzu was the
Chair of Electrical Engineering Degree Council during 19801994,
the Chair of the Department of Mathematics during 19861989, the
Chair of the Ph.D. School of Mathematics and Informatics during
20032010, and the Coordinator of the Numerical Analysis and
Mathematical Modelling Group during 20072010. He also
served as the Chair of the Cagliari branch of UMI (Italian Mathematical
Society) during 19941999 and the Chair of the Cagliari branch of
INDAM (National
Institute of Higher Mathematics) during 19942010.
Prof. Seatzu has also held various
relevant positions at the national level. He contributed to the
founding of the CRS4 (Center for
Advanced Studies, Research and Development in Sardinia) and was a
member of its scientific board during 19931999. He was a member
of the scientific board of GNIM (Numerical and Mathematical
Informatics Group) of CNR
(National Research Council) during 19972000, and he became a
member of the scientific board of GNCS (National
Scientific Computation Group of INDAM) during 20002008.
In the period 19892001, he has been
responsible for the protocol of scientific collaboration between
the Department of Mathematics of the university of Cagliari and
the Institute of Mathematics and Mechanics of the Ural Branch of
the Russian Academy of
Science.
He was also Italian Correspondent for the S.E.F.I. (Societé Européenne pour la
Formation des Ingenieurs) in the period 19891998 and referee of
the International Science Foundation
(Washingtton, DC, USA) for mathematical research projects from the
countries of the former Soviet Union.
In October 2011 the International
Conference on Scientific Computing (SC 2011) has been
organized in Santa Margherita di Pula at the occasion of the 70^{th}
birthday of Proff.s Claude Brezinski and Sebastiano Seatzu. This
conference has been attended by scientists from 39 countries who
have given 176 talks.
Selected Publications
 S. Seatzu (1983), Evaluation of the error in Sard's optimal
quadrature formulae of order three, Boll. Un. Mat. It. (6)
2B,417430.
 L. Guerri, S. Seatzu (1984), Some properties of the
regularized solutions of illconditioned linear systems, Boll.
Un. Mat. It. (6), 3B, 435450.
 G. Di Cola, S. Seatzu (1984), Numerical parameter
identification and optimal control in population dynamics, in
Statistical and Mathematical Methods in Population Dynamics and
Pest Control (R. Cavalloro, ed.) A.A.Balkema, Rotterdam and
Boston 151156.
 S. Seatzu (1986), A remark on the numerical solution of linear
inverse problems with discrete data, Inverse Problems 2,
L27L30.
 A. Corrias, G. Navarra, S. Seatzu, F.I. Utreras (1988),
Twophase regularisation method in Hilbert spaces: description
and application to EXAFS problems, Inverse Problems 4, 449470.
 G. Rodriguez and S. Seatzu (1990), Numerical solution of the
finite moment problem in a reproducing kernel Hilbert space, J.
Comp. Appl. Math. 33(3), 233244.
 G. Rodriguez and S. Seatzu (1992), On the solution of the
finite moment problem, J. Math. Anal. Appl., 171, 321333.
 G. Rodriguez and S. Seatzu (1993), On the numerical inversion
of the Laplace transform in reproducing kernel Hilbert spaces,
IMA Journal of Numerical Analysis, 13, 463475.
 J.C. Mason, G. Rodriguez and S. Seatzu (1993), Orthogonal
splines based on Bsplines with applications to least squares,
smoothing and regularization problems, Numerical Algorithms, 5,
2540.
 P. Benvenuti, F. Maggio and S. Seatzu (1993), Regularization
and smoothing for the restoration of the faint object camera
images, in The Restoration of HST Images and Spectra II, in
Proceedings of The restoration of HST images and spectra  II,
R.J.Hanisch and R.L.White, Eds., Baltimore, 1819 November 1993.
 A. Backushinsky, A. Goncharsky, S. Romanov and S. Seatzu
(1994), On the identification of velocity in seismics and in
acoustic sounding, Pubblicazioni IAGA, Serie "Problemi non ben
posti e inversi", n. 71.
 T.N.T. Goodman, C.A. Micchelli, G.Rodriguez and S. Seatzu
(1995), On the Cholesky factorization of the Gram matrix of
locally supported functions, BIT 35 (2) 233257.
 C. van der Mee, G. Rodriguez and S. Seatzu (1996), LDU
factorization results for biinfinite and semiinfinite scalar
and block Toeplitz matrices, Calcolo 33,307335, 1996.
 T.N.T. Goodman, C.A. Micchelli, G.Rodriguez and S. Seatzu
(1997), Spectral factorization of Laurent polynomials, Advances
in Computational Mathematics 7, 429454.
 T.N.T. Goodman, C.A. Micchelli, G.Rodriguez and S. Seatzu
(1998), On the limiting profile of exponentially decaying
functions, IMA Journal of Numerical Analysis 18, 331354.
 C. Brezinski, M. Redivo Zaglia, G. Rodriguez and S. Seatzu
(1998), Extrapolation techniques for illconditioned linear
systems, Numer. Math. 81, 129.
 T.N.T. Goodman, C.A. Micchelli, G. Rodriguez, and S. Seatzu
(2000), On the Cholesky factorization of the Gram matrix of
multivariate functions, SIAM Journal on Matrix Analysis and its
Applications, 22(2):501526.
 C.V.M. van der Mee, G. Rodriguez, and S. Seatzu (2002),
Spectral factorization of biinfinite multiindex block Toeplitz
matrices, Linear Algebra and its Applications, 343344:355380.
 C.V.M. van der Mee, G. Rodriguez, and S. Seatzu (2003),
Semiinfinite multiindex perturbed block Toeplitz systems,
Linear Algebra and its Applications, 366(C):459482.
 C. Brezinski, M. RedivoZaglia, G. Rodriguez, and S. Seatzu
(2003), Multiparameter regularization techniques for
illconditioned linear systems, Numerische Mathematik,
94:203228.
 Cornelis V.M. van der Mee, M.Z. Nashed, and Sebastiano Seatzu
(2003), Sampling expansions in unitarily translation invariant
reproducing kernel Hilbert spaces, Advances in Computational
Mathematics 19(4), 355372.
 C.V.M van der Mee, and S. Seatzu (2005), A method for
generating infinite positive selfadjoint test matrices and
Riesz bases. SIAM Journal on Matrix Analysis and Applications,
vol. 26(4); p. 11321149, ISSN: 08954798.
 G. Rodriguez, S. Seatzu, and D. Theis (2005), An algorithm for
solving Toeplitz systems by embedding in infinite systems. In R.
Kaashoek, S. Seatzu, and C.V.M. van der Mee, editors, Recent
Advances in Operator Theory and its Applications, IWOTA 2003
Proceedings, Operator Theory: Advances and Applicationsi, Vol.
160, Birkhauser Verlag, Basel, 2005.
 C.V.M. van der Mee, and S. Seatzu (2005), A method for
generating infinite positive selfadjoint test metrices and
Riesz bases, SIAM Journal on Matrix Analysis and Applications
26(4), 11321149.
 C.V.M. van der Mee, G. Rodriguez, and S. Seatzu (2006) Fast
superoptimal precomditioning of multiindex Toepltz matrices,
Linear Algebra and its Applications, vol. 418; p. 576590, ISSN:
00243795
 C.V.M van der Mee, S. Seatzu, and D. Theis (2007), Structured
matrix algorithms for inverse scattering on the line, Structured
matrix algorithms for inverse scattering on the line. Calcolo,
vol. 44; p. 4459, ISSN: 00080624
 C.M.V. Van der Mee, Pintus P. and Seatzu S. (2008).
Mathematical principles in photonic crystals. Rivista di
Matematica della Università di Parma, vol. 7 (8); p. 139, ISSN:
00356298
 Brezinski C, Rodriguez G. and Seatzu S. (2008). Error
estimates for linear systems with applications to
regularization. Numerical Algoritms, vol. 49; p. 85104, ISSN:
10171398, doi: 10.1007/s1107500891631
 Reichel L., Rodriguez G. and Seatzu S. (2009). Error estimates
for largescale illposed problems. Numerical Algorithms, vol.
51; p. 341361, ISSN: 10171398, doi: 10.1007/s1107500892441
 Brezinski C, Rodriguez G and Seatzu S. (2009). Error estimates
for the regularization of least squares problems. Numerical
Algorithms, vol. 51; p. 6176, ISSN: 10171398, doi:
10.1007/s1107500892432
 Aricò A, van der Mee, CVM and C, SEATZU S. (2009). Structured
matrix numerical solution of the nonlinear Schrödinger equation
by the inverse scattering transform. Electronics Journal of
Differential Equations , vol. 15; p. 121, ISSN: 1072669.
 Brezinski C., Redivo Zaglia M. and Seatzu S. (2010). Second
Dolomites Workshop on Constructive Approximation and
Applications, Calcolo (2010). p { marginbottom:
0.08in; }
 Aricò A, Rodriguez G and Seatzu, S. (2011), Numerical solution
of nonlinear Schrödinger, starting from scattering data,
Calcolo, 48(1):7588, DOI: 10.1007/s110750109421x.
 Contu P., C. Van der Mee and Seatzu S. (2011), Fast and
Effective Finite Difference Method for 2D Photonic Crystals,
Communications in Applied and Industrial Mathematics (CAIM);
doi: 10.1685/journal.caim.374.
 Contu P., C. Van der Mee and Seatzu S. (2012), A FInite
Element Frequency Domain method for 2D Photonic Crystals,
Journal of Computational and Applied Mathematics (JCAM); doi:
10.1016/j.cam.2012.02.041.
 Fermo L., van der Mee C., and Seatzu S., (2015), Parameter
estimation of monomial exponential sums in one and two
variables, Applied and Computation (258), 576586.
 Fermo L., van der Mee C., and Seatzu S., (2016), Scattering
data computation for the ZakharovShabat systems, Calcolo, vol.
53, pp 478520.
 Fermo L., van der MEE C., and Seatzu S. (2017), Scattering
data computation for the ZakharovShabat system with nonsmooth
potentials, Applied Numerical Mathematics, vol.116, pp. 1952.
Last update: 10/01/2018 
