Fermín S. V. Bazán


Office

Department of Mathematics
Federal University of Santa Catarina
88040-900 Florianopolis, SC Brazil
Email: fermin@mtm.ufsc.br
URL: http://www.mtm.ufsc.br/~fermin
Phone: +51 48-331.9221 
Fax: +51 48-331.9221   

  Research Interests

  • Numerical linear algebra
  • Inverse problems
  • Modal analysis

Research Group: Numerical Analysis and Scientific Computing (Portuguese)

Publications, Technical Reports, etc

  • Refereed Papers

    • J. B. Francisco, D. S. Gonçalves, F. S. V. Bazán and L. L. T. Paredes, Non-monotone inexact restoration method for nonlinear programming, Computational Optimization and Applications, September 2019, DOI:10.1007/s10589-019-00129-2

    • F. S. V. Bazán and Luciano Bedin, Filtered spectral differentiation method for numerical differentiation of periodic functions with application to heat flux estimation, Computational & Applied Mathematics 38(4), December 2019, DOI: 10.1007/s40314-019-0968-4

    • L. Bedin, F. S. V. Bazán and F. T. Giordani, Analysis and spline approximation of surface charge and potential at planar electrochemical interfaces, Mathematical Methods in the Applied Sciences, July 2019, DOI: 10.1002/mma.5753

    • F. S. V. Bazán, Luciano Bedin and Fabio Bozzoli, New Methods for numerical estimation of convective heat transfer in circular ducts, International Journal of Thermal Sciences, 139:387-402 · February 2019, DOI: 10.1016/j.ijthermalsci.2019.02.025

    • F. Bozzoli, L. Cattani, A. Mocerino, S. Rainieri and F. S. V. Bazán, A novel method for estimating the distribution of convective heat flux in ducts: Gaussian filtered singular value decomposition, Inverse problems in Science and Engineering 27(11):1-13 · November 2018, DOI: 10.1080/17415977.2018.1540615

    • F. S. V. Bazán and J. R. Quiroz, Galerkin approach for estimating boundary data in Poisson equation on annular domain with application to heat transfer coefficient estimation in coiled tubes, Numerical Algorithms 81(1) May 2018, DOI: 10.1007/s11075-018-0536-9

    • L. Bedin, F. S. V. Bazán and J. R. Quiroz, Method for recovering boundary data in a two-dimensional Poisson equation on annular domain, Journal of Computational and Applied Mathematics 2018, DOI: 10.1016/j.cam.2018.03.016.

    • M. I. Ismailov, F. S. V. Bazán and L. Bedin, Time-dependent perfusion coefficient estimation in a bioheat transfer problem, Computer Physics Communications, 230,  April 2018, DOI: 10.1016/j.cpc.2018.04.019

    • L. S. Borges, F. S. V. Bazán and L. Bedin, A projection-based algorithm for ℓ 2 - ℓ p Tikhonov regularization, Math. Methods in the Applied Sciences, June 2018, DOI: 10.1002/mma.5110

    • F. S. V. Bazán and E. Boos, Schultz matrix iteration based method for stable solution of discrete ill-posed problems, Linear Algebra and Its Applications 554, 2018,DOI: 10.1016/j.laa.2018.05.022

    • J. B. Francisco, F. S. V. Bazán and M. Weber Mendonça, Non-monotone algorithm for minimization on arbitrary domains with applications to large-scale orthogonal Procrustes problem, Appl. Num. Math., 112 (2017), 51-64. (pdf-file)

    • F. S. V. Bazán and L. Bedin, Identification of heat transfer coefficient trough linearization: explicit solution and approximation, Inverse Problems 33(2017), DOI, https://doi.org/10.1088/1361-6420/aa97c1

    • F. S. V. Bazán, L. Bedin and L. S. Borges, Space-dependent perfusion coefficient estimation in a 2D  bioheat transfer problem, Computer Physics Communicactions, DOI, 10.1016/j.cpc.2017.01.002 (2017). (pdf-file)

    • F. S. V. Bazán, J. B. Francisco, Koung Hee Leem, G. Pelekanos and V. Sevroglou, A numerical reconstruction method in inverse elastic scattering. To appear in Inv. Prob. Sc. Eng., 2017. (pdf-file)

    • F. Bozzoli, L. Cattani, S. Rainieri, F. S. V. Bazán and L. S. Borges, Estimation of the local heat transfer coefficient in coiled tubes:Comparison between Tikhonov regularization method and Gaussian Filtering Technique. To appear in Int. J. of Num. Meth. for Heat and Fluid Flow., 2017.

    • F. S. Viloche Bazán, Andreas Kleefeld, Koung Hee Leem, and G. Pelekanos, Sampling method based projection approach for the reconstruction of 3D acoustical penetrable scatters, Lin. Alg. Appl., 495 (2016), 289-323. (pdf-file)

    • L. Bedin and F. S. Viloche Bazán, A note on existence and uniqueness for a 2D bioheat problem, Appl. Anal., (2016), DOI, 10.10.1080/00036811.2016.1148138. (pdf-file)

    • F. S. Viloche Bazán, L. Bedin and , F. Bozzoli, Numerical estimation of convective heat transfer coefficient through linearization, Int. J. Heat and Mass Transfer, (2016), 1230-1244. (pdf-file)

    • F. S. Viloche Bazán, J. B. Francisco, Koung Hee Leem, and G. Pelekanos, Using the linear sampling method and an improved maximum product criterion for the solution of the electromagnetic inverse medium problem, Journal of Computational and Applied Mathematics v. 273, p. 61-75, 2015. (pdf-file)

    • F. S. Viloche Bazán, Simple and efficient determination of the Tikhonov regularization parameter chosen by the generalized discrepancy principle for discrete ill-posed problems, Journal of Scientific Computing, DOI 10.1007/s10915-014-9888-z, 63(1), 163-184, 2015. (pdf-file)

    • F. Bozzoli, L. Catani, S. Rainieri, F. S. V. Bazán and and L. S. Borges, Estimation of the local heat-transfer coefficient in the laminar flow regime in coiled tubes by the Tikhonov regularisation method, International Journal of Heat and Mass Transfer, v. 72, p. 352-361, 2014. (pdf-file)

    • L. Bedin and F. S. Viloche Bazán, On the 2D bioheat equation with convective boundary conditions and its numerical realization via a highly accurate approach, Applied Mathematics and Computation v. 236, p. 422-436, 2014. (pdf)

    • L. S. Borges, F. S. Viloche Bazán and M. C. Cunha, Automatic stopping rule for iterative methods in discrete ill-posed problems, Comp. Appl. Math., DOI 10.1007/s40314-014-0174-3, 2014. (pdf-file)

    • F. S. Viloche Bazán, M. C. Cunha and L. S. Borges, Extension of GKB-FP algorithm to large-scale general-form Tikhonov regularization, Numerical Linear Alg. With Appl. (2013),   (pdf-file)

    • J. B. Francisco and F. S. Viloche Bazán, Nonmonotone algorithm for minimization on closed sets with application to minimization on Stiefel manifolds, J. Comp. and Appl. Math.,  236(10), 2717-2727, 2012 (pdf-file)

    • F. S. Viloche Bazán,  J. B. Francisco, K. H.    Leem and G. Pelekanos, Maximum product criterion as a Tikhonov choice-rule for Kirsch's factorization sampling method, J. Comp. and Appl. Math.,  236, 4264-4275, 2012. (pdf-file)

    • F. S. Viloche Bazán,  L,  S. Borges and J. B. Francisco, On a generlization of Regińska's parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization,  Applied Mathematics and Computation,Volume 219, Issue 4, 1 November 2012, Pages 2100-2113 (pdf-file)

    • Zibetti, Marcelo V.W. ; Bazán, Fermín S.V. ; Mayer, Joceli . Estimation of the parameters in regularized simultaneous super-resolution. Pattern Recognition Letters, v. 32, p. 69-78, 2011.

    • F. S. Viloche Bazán and L. S. Borges, GKB-FP:an algorithm for large-scale discrete ill-posed problems. BIT, DOI 10.1007/s10543-010-0275-3, 2010 (pdf-file)

    • Bazán, Fermín S. Viloche . Chebyshev pseudospectral method for wave equation eith absorbing boundary conditions that does not use a first order hyberbolic system. Mathematics and Computers in Simulation (Print), v. 80, p. 2124-2133, 2010. (pdf-file)

    •  Bazán, Fermín S. Viloche ; K. H. Leem ; G. Pelekanos . Fixed-point iterations in determining a Tikhonov regularization parameter in Kirsch's factorization metho. Applied Mathematics and Computation, v. 216, p. 3747-3753, 2010. (pdf-file)

    • Viloche Bazan, Fermin S. ; Leem, Koung Hee ; Pelekanos, George . An Application of a Fixed Point Iteration Method to Object Reconstruction. PIERS Online, v. 6, p. 227-231, 2010.

    • Oliverira, J., Bazán, F. S. V. . Poisson approach for evaluating numerical methods for the two-dimensional wave equation constrained to absorbing boundary conditions. Applied Mathematics and Computation, v. 209, p. 273-284, 2010.

    • Bazán, F. S. V. ; Francisco, J. B. An improved fixed-point algorithm for determining a Tikhonov regularization parameter. Inverse Problems, v. 25, p. 045007, 2009. (pdf-file)

    • Bazán, F. S. V.,. Fixed-Point iterations in determining the Tikhonov regularization parameter. Inverse Problems, v. 24, p. 035001-035001, 2008. (pdf-file)

    • F. S. V. Bazán, Chebyshev Pseudospectral Method for Computing  Numerical Solution of  Convection-diffusion equation.  Appl.  Math. Comput., vol. 200, 537-546,2008. (pdf-file)  

    • M. V. W. Zibetti, F. S. V. Bazán and J. Mayer, Determining the regularization parameters for super-resolution problems, Signal Processing, vol. 88, p. 2890-1901, 2008. pdf-file

    • F. S. V. Bazán and S. Gratton, An explicit Jordan Decomposition of Companion Matrices, TEMA, (pdf-file)

    • F. S. V. Bazán, Matrix polynomials with partially prescribed eigenstrucutre: Eigenvalue sensitivity and condition estimation. To appear in J. Comp. Appl. Math, 2005 (pdf-file)

    • F. S. V. Bazán and C. Cunha, Solving damped wave equations with the method of lines and quadratic matrix eigenvalues. Far East J. Appl. Math. 17(1) (2004), 105-120.

    • F. S. V. Bazán, Eigensystem realization algorithm: Reformulation and system pole perturbation analysis. J. Sound and Vibration 274 (2004), 433-444. (pdf-file)

    • E. Kraemer and F. S. V. Bazán, Some measures of non normality of matrices (in Portuguese). Tema Vol. 4(1), pp. 61-70, 2003 .

    • F. S. V. Bazán, Error analysis of signal zeros: a projected companion matrix approach, Lin. Alg. Appl. Vol. 369 pp. 153-167, 2003 (pdf file)

    • F. S. V. Bazán, CGLS-GCV: a hybrid algorithm for solving low-rank-deficient problems. Appl. Num. Math. 47, pp. 91-108, 2003. (pdf-file)

    • F. S. V. Bazán,  Conditioning of rectangular Vandermonde matrices with nodes in the unit disk, SIAM J. Mat. Anal. Appl. Vol. 21(2) pp. 679-693, 2000. (pdf-file)

    • F. S. V. Bazán and Ph. L. Toint, Error analysis of signal zeros from a related companion matrix eigenvalue problem, Appl. Math Letters, Vol. 14, pp. 859-866, 2001.

    • F. S. V. Bazán and Ph. L. Toint, Singular value analysis of predictor matrices, Mechanical Systems and Signal Processing, Vol. 15(4), pp. 667-683, 2001.

    • F. S. V. Bazán and Ph. L. Toint, Conditioning of infinite Hankel matrices of finite rank, Systems and Control Letters, Vol. 41, pp. 347-359, 2000. (pdf-file)

    • F. S. V. Bazán, Sensitivity eigenanalysis for single shift-invariant subspace-based methods, Signal Processing, Vol. 80, pp. 89-100, 2000. (pdf-file)

    • M. I. Cardoso and F. S. V. Bazán, Fast signal subspace computation in solving rank-deficient problems (in Portuguese), Tema, Vol.1, Part. 1, pp. 29-44, 2000. (pdf-file)

    • F. S. V. Bazán, Sensitivity eigenvalue analysis in recovering exponential data (in Portuguese), Tema, Vol.1, Part. 2, pp. 289-302, 2000.

    • L. H. Bezerra and F. S. V. Bazán, Eigenvalue locations of Generalized Companion Predictor matrices, SIAM J. Matrix. Anal. Appl. Vol. 19(4) pp. 886-897, 1998.

    • F. S. V. Bazán and L. H. Bezerra, On zero locations of predictor polynomials, Num. Lin. Alg. Appl., Vol. 4(6), pp. 459-468, 1997.

    • F. S. V. Bazán and C. Bavastri, An optimized pseudo-inverse algorithm (OPIA) for multi-input multi-output modal parameter identification, Mechanical Systems and Signal Processing, Vol. 10, pp. 365-380, 1996. (pdf-file)

    • C. Cunha and F. S. V. Bazán , An iterative method for the numerical inversion of Laplace Transforms, Math. Of Computations, Vol. 64(211), pp. 1193-1198, July 1995. (pdf-file)

    • F. S. V. Bazán and P. G. Kurka, A Prony-moments method for parameter identification in overdetermined systems, Mechanical Systems and Signal Processing, Vol. 8(2), march, pp.145-154, 1994.

    • C. Cunha and F. S. V. Bazán , The Laguerre functions in the inversion of the Laplace Transform, Inverse Problems, Vol.9, pp. 57-68, 1993. (pdf-file)

  • Technical Reports and Preprints.

    PostScript versions of some technical reports and preprints are available:

    • F. S. V. Bazán, An explicit Jordan Decomposition of Companion Matrices pdf-file

    • F. S. V. Bazán, Eigensystem realization algorithm: Reformulation and system pole perturbation analysis. Submitted to J. Sound and Vibration, Aug. 2002. (ps file)

    • F. S. V. Bazán, Ph. L. Toint and M. C. Zambaldi, A conjugate-Gradients based method for Harmonic Retrieval that does not use explicit signal subspace computation, Tech. rep. 16, Department of Mathematics, FUNDP, Namur Belgium, November 1997.

  • Talks

    • An Explicit Jordan Decomposition of Companion Matrices, XXVIII CNMAC- São Paulo, 2005. Slides (pdf-file)

    • Influência da Variação do Espectro em Computação Científica. Encontro Univ., UFSC, Nov. , 2005. Slides (pdf-file)

    • Solução Numérica da Equação da Onda Amortecida através do Método das Linhas e Auto-pares de Polinômios Matriciais Quadráticos. Seminário Brasileiro de Análise, UNIRIO, R.J., Nov. 2005. Slides (pdf-file)

  • Books and Lecture Notes

    • Eigenvalues of Matrix Polynomials, Sensitivity, Computation and Applications (in Portuguese). Edited by IMPA, Rio de Janeiro - Brazil, July 2003. ISBN: 85-244-0206-7, 167 pag. Short course prepared for the XXIV Coloquio de Matemática, IMPA July 2003. (pdf-file)Slides: Part I (slide1), Parts II-III (slide2-3), Part IV, (slide4) Part V (slide5)

    • Álgebra Linear Computacional e Problemas de posto incompleto. Monografia de Minicurso presentado no XXIII CNMAC, Setembro 2000, Santos SP, Brasil (com M. I. Cardoso). Editado pela SBMAC, Santos 2000. 86 pag.

    • Métodos de decomposição parcial do espectro de uma matriz. Monografia de Minicurso presentado no XXIV CNMAC, Setembro 2001, Belo Horizonte MG, Brasil (com L. H. Bezerra). Editado pela SBMAC, Belo Horizonte 2001, 43 pag.