Sebastiano Seatzu

Sebastiano Seatzu

Retired Full Professor of Numerical Analysis

Department of Mathematics and Computer Science
University of Cagliari
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 ill-conditioned 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 co-editor 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 1965-1968 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 1968-1980, 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 multi-indexed structured matrices. During 1981-1995 Prof. Seatzu also served as a professor of operations research.

In Cagliari, Prof. Seatzu was the Chair of Electrical Engineering Degree Council during 1980-1994, the Chair of the Department of Mathematics during 1986-1989, the Chair of the Ph.D. School of Mathematics and Informatics during 2003-2010, and the Coordinator of the Numerical Analysis and  Mathematical Modelling Group during 2007-2010. He also served as the Chair of the Cagliari branch of UMI (Italian Mathematical Society) during 1994-1999 and the Chair of the Cagliari branch of INDAM (National Institute of Higher Mathematics) during 1994-2010.

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 1993-1999. He was a member of the scientific board of GNIM (Numerical and Mathematical Informatics Group) of CNR (National Research Council) during 1997-2000, and he became a member of the scientific board of GNCS (National Scientific Computation Group of INDAM) during 2000-2008. 

In the period 1989-2001, 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 1989-1998 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 70th 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

  1. S. Seatzu (1983), Evaluation of the error in Sard's optimal quadrature formulae of order three, Boll. Un. Mat. It. (6) 2-B,417-430.
  2. L. Guerri, S. Seatzu (1984), Some properties of the regularized solutions of ill-conditioned linear systems, Boll. Un. Mat. It. (6), 3-B, 435-450.
  3. 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 151-156.
  4. S. Seatzu (1986), A remark on the numerical solution of linear inverse problems with discrete data, Inverse Problems 2, L27-L30.
  5. A. Corrias, G. Navarra, S. Seatzu, F.I. Utreras (1988), Two-phase regularisation method in Hilbert spaces: description and application to EXAFS problems, Inverse Problems 4, 449-470.
  6. 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), 233-244.
  7. G. Rodriguez and S. Seatzu (1992), On the solution of the finite moment problem, J. Math. Anal. Appl., 171, 321-333.
  8. 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, 463-475.
  9. J.C. Mason, G. Rodriguez and S. Seatzu (1993), Orthogonal splines based on B-splines with applications to least squares, smoothing and regularization problems, Numerical Algorithms, 5, 25-40.
  10. 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, 18-19 November 1993.
  11. 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.
  12. 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) 233-257.
  13. C. van der Mee, G. Rodriguez and S. Seatzu (1996), LDU factorization results for bi-infinite and semi-infinite scalar and block Toeplitz matrices, Calcolo 33,307-335, 1996.
  14. T.N.T. Goodman, C.A. Micchelli, G.Rodriguez and S. Seatzu (1997), Spectral factorization of Laurent polynomials, Advances in Computational Mathematics 7, 429-454.
  15. 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, 331-354.
  16. C. Brezinski, M. Redivo Zaglia, G. Rodriguez and S. Seatzu (1998), Extrapolation techniques for ill-conditioned linear systems, Numer. Math. 81, 1-29.
  17. 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):501-526.
  18. C.V.M. van der Mee, G. Rodriguez, and S. Seatzu (2002), Spectral factorization of bi-infinite multi-index block Toeplitz matrices, Linear Algebra and its Applications, 343-344:355-380.
  19. C.V.M. van der Mee, G. Rodriguez, and S. Seatzu (2003), Semi-infinite multi-index perturbed block Toeplitz systems, Linear Algebra and its Applications, 366(C):459-482.
  20. C. Brezinski, M. Redivo-Zaglia, G. Rodriguez, and S. Seatzu (2003), Multi-parameter regularization techniques for ill-conditioned linear systems, Numerische Mathematik, 94:203-228.
  21. 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), 355-372.
  22. C.V.M van der Mee, and S. Seatzu (2005), A method for generating infinite positive self-adjoint test matrices and Riesz bases. SIAM Journal on Matrix Analysis and Applications, vol. 26(4); p. 1132-1149, ISSN: 0895-4798.
  23. 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.
  24. C.V.M. van der Mee, and S. Seatzu (2005), A method for generating infinite positive self-adjoint test metrices and Riesz bases, SIAM Journal on Matrix Analysis and Applications 26(4), 1132-1149.
  25. 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. 576-590, ISSN: 0024-3795
  26. 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. 44-59, ISSN: 0008-0624
  27. 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. 1-39, ISSN: 0035-6298
  28. Brezinski C, Rodriguez G. and Seatzu S. (2008). Error estimates for linear systems with applications to regularization. Numerical Algoritms, vol. 49; p. 85-104, ISSN: 1017-1398, doi: 10.1007/s11075-008-9163-1
  29. Reichel L., Rodriguez G. and Seatzu S. (2009). Error estimates for large-scale ill-posed problems. Numerical Algorithms, vol. 51; p. 341-361, ISSN: 1017-1398, doi: 10.1007/s11075-008-9244-1
  30. Brezinski C, Rodriguez G and Seatzu S. (2009). Error estimates for the regularization of least squares problems. Numerical Algorithms, vol. 51; p. 61-76, ISSN: 1017-1398, doi: 10.1007/s11075-008-9243-2
  31. 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. 1-21, ISSN: 1072-669.
  32. Brezinski C., Redivo Zaglia M. and Seatzu S. (2010). Second Dolomites Workshop on Constructive Approximation and Applications, Calcolo (2010). p { margin-bottom: 0.08in; }
  33. Aricò A, Rodriguez G and Seatzu, S. (2011), Numerical solution of nonlinear Schrödinger, starting from scattering data, Calcolo, 48(1):75-88, DOI: 10.1007/s11075-010-9421-x.
  34. 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.
  35. 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.
  36. 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), 576-586.
  37. Fermo L., van der Mee C., and Seatzu S., (2016), Scattering data computation for the Zakharov-Shabat systems, Calcolo, vol. 53, pp- 478-520.
  38. Fermo L., van der MEE C., and Seatzu S. (2017), Scattering data computation for the Zakharov-Shabat system with nonsmooth potentials, Applied Numerical Mathematics, vol.116, pp. 195-2.
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