JULIANO B. FRANCISCO

Full Professor at Federal University of Santa Catarina. Departament of Mathematics.

Office 103. 88040-900. Florianópolis – Santa Catarina, Brazil.

Curriculum Vitae (pt and en): Curriculum Lattes (CNPq)

Interesting research: Optimization, Numerical Analysis, Electronic Structure Calculation,  Electric Power Systems

Publications (if you are interesting in some paper below, please send me an e-mail asking for):

FRANCISCO, J. B.; GONÇALVES, DOUGLAS S.. Nonmonotone feasible arc search algorithm for minimization on Stiefel manifold. Computational and Applied Mathematics, v. 42, n. 175. To appear. 2023.

BAZAN, F. S. V. ; FRANCISCO, J. B. ; LEEM, K. H. ; PELEKANOS, G. ; SEVROGLOU, V.. On an Application of the Improved Maximum Product Criterion to Inverse Acoustic Scattering in a Layered Medium. JOURNAL OF APPLIED MATHEMATICS AND PHYSICS, v. 09, p. 661-682, 2021.

FRANCISCO, J. B.; GONÇALVES, DOUGLAS S. ; BAZAN, F. S. V. ; PAREDES, LILA L. T. . Nonmonotone inexact restoration approach for minimization with orthogonality constraints. NUMERICAL ALGORITHMS, v. 86, p. 1651-1684, 2021.

FRANCISCO, J. B.; GONÇALVES, DOUGLAS S. ; BAZAN, F. S. V. ; PAREDES, LILA L. T. . Non-monotone inexact restoration method for nonlinear programming. COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, v. 76, p. 867-888, 2020.

BAZAN, F. S. V. ; FRANCISCO, J. B. ; LEEM, K. H. ; PELEKANOS, G. ; SEVROGLOU, V. . A numerical reconstruction method in inverse elastic scattering. Inverse Problems in Science & Engineering (Print), v. 25, p. 1577-1600, 2017.

FRANCISCO, J. B.; GONÇALVES, D. S. . A fixed-point method for approximate projection onto the positive semidefinite cone. Linear Algebra and its Applications, v. 523, p. 59-78, 2017.

FRANCISCO, J.B.; VILOCHE BAZAN, F.S. ; WEBER MENDONÇA, M. . Non-monotone algorithm for minimization on arbitrary domains with applications to large-scale orthogonal Procrustes problem. Applied Numerical Mathematics, v. 112, p. 51-64, 2017.

BAZAN, F. S. V. ; FRANCISCO, J. B. ; PELEKANOS, G. ; LEEM, K. H. . 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.

MARTINI, T. ; FRANCISCO, J. B. . Spectral Projected Gradient Method for the Procrustes Problem. TEMA. Tendências em Matemáa Aplicada e Computacional, v. 15, p. 83-96, 2014.

VILOCHE BAZAN, F. S.; FRANCISCO, J. B.; LEEM, K. H.; PELEKANOS, G. Maximum product criterion as Tikhonov choice-rule for Kirsch's factorization sampling method. Journal of Computational and Applied Mathematics. 2012.

VILOCHE-BAZAN, F. S. ; ; BORGES, L. S. ; FRANCISCO, J. B. . On a generalization of Regi ska s parameter choice rule and its numerical realization in large-scale multi-parameter Tikhonov regularization. Applied Mathematics and Computation, v. 219, p. 2100-2113, 2012.

FRANCISCO, J. B.; VILOCHE BAZAN, F. S. Nonmonotone algorithm for minimization on closed sets with application to minimization on Stiefel manifolds. Journal of Computational and Applied Mathematics, v. 236, n. 10, pp. 2717-2727. 2012.

FRANCISCO, J. B. ; MARTINEZ, J. M. ; MARTINEZ, L. ; PISNITCHENKO, F. I. . Inexact Restoration methods for minimization problems that arise in electronic structure calculations. Computational Optimization and Applications, 50, n. 3, pp. 555-590. 2011.

BARBOZA, L. V; FRANCISCO, J. B.; ZAMBALDI, M. C. Restoring solvability of the electric network equations: an approach based on the Augmented Lagrangean algorithm. Latin America Transactions IEEE. v. 8, n. 6, pp 670-677. 2010.

BAZAN, F. S. V. ; FRANCISCO, J. B. . An improved fixed-point algorithm for determining a Tikhonov regularization parameter. Inverse Problems (Print), v. 25, p. 045007, 2009.

BARBOZA, L. V.; FRANCISCO, J. B. ; ZAMBALDI, M. C.. Restoring solution for unsolvable power flows: an approach using the augmented lagrangean algorithm, Power Systems Computation Conference (PSCC), Glasgow, Scotland, (7 pages) 2008. direct link (pdf)

FRANCISCO, J. B. ; ZAMBALDI, M. C. . Um algoritmo do tipo lagrangeano aumentado para a correção das equações do problema de fluxo de potência. Tendências em Matemática Aplicada e Computacional (TEMA), v. 9, p. 95-104, 2008.

FRANCISCO, J. B. ; MARTINEZ, J. M. ; MARTINEZ, L. . Density-based globally convergent trust-region method for self-consistent field electronic structure calculations. Journal of Mathematical Chemistry, v. 40, p. 349-377, 2006.

FRANCISCO, J. B. ; MARTINEZ, J. M. ; KREJIC, N. . An interior-point method for solving box-constrained underdetermined nonlinear systems. Journal of Computational and Applied Mathematics, v. 177, p. 67-88, 2005.

FRANCISCO, J. B. ; MARTINEZ, J. M. ; MARTINEZ, L. . Globally convergent trust-region methods for self-consistent field electronic structure calculations. Journal of Chemical Physics, v. 121, p. 10863-10878, 2004.

FRANCISCO, J. B. ; BARBOZA, L. V. ; ZAMBALDI, M. C. . Newton-type methods for restorating solution of the eletric network equation. Tendências em Matemática Aplicada e Computacional (TEMA), v. 1, n. 2, p. 35-42, 2002.

Accepted for publication

Preprints:

BARBOZA, L. V.; FRANCISCO, J. B.; ZAMBALDI, M. C., Augmented Lagragian methods applied to unsolvable power flows, 2011.