
Sebastiano Seatzu
Retired Full Professor of Numerical Analysis

Contact information
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 2 books and coauthor
of 2 books and has coauthored 80 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 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. p { marginbottom:
0.08in; }
 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.
Last update: 26/07/2012 
