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Susana
Furtado
Name: Susana Margarida Figueiredo de Sousa Borges
Furtado
Assistant Professor at Faculdade de Economia do Porto, Universidade do Porto
Member of the research institution CEAFEL
Email: sbf@fep.up.pt
Address: Faculdade de Economia do Porto, Rua Dr. Roberto
Frias, 4200-464 Porto, Portugal
Phone number: (+351) 22 0426458
Research interests: Linear Algebra
and Combinatorics; Matrix Theory, Control Theory, Numerical Linear Algebra.
Academic Degrees
·
Bachelor in Applied Mathematics (Computer Science), Faculdade de Ciências,
Universidade do Porto (1990).
·
Master in Applied Mathematics to Economics and Management (Statistics and Econometrics), Instituto Superior de Economia e Gestão,
Universidade Técnica de Lisboa (1994).
·
Ph.D. in Mathematics (Algebra, Logic and Fundamentals), Faculdade
de Ciências, Universidade de Lisboa (2000).
Refereed Research Publications
1. M. I. Bueno, S. Furtado, A. Klausmeier^{∗}, J. Veltri^{∗}, Linear
maps preserving the Lorentz spectrum: the 2x2 case, Electronic Journal of
Linear Algebra, accepted.
2. S. Furtado, C. R. Johnson, Power
normal matrices, Linear and Multilinear Algebra (published online, 2021).
3. S. Furtado, Efficient
vectors for double perturbed consistent matrices, Optimization (published
online, 2022)
4. R. Fernandes, S. Furtado, Efficiency
of the principal eigenvector of some triple perturbed consistent matrices,
European Journal of Operational Research 298 (3), 1007-1015 (2022).
5. S. Furtado, C. R. Johnson, Y.L.
Zhang, Linear preservers of copositive
matrices,
Linear and Multilinear Algebra 69 (10), 1779-1788 (2021).
6. H. Cruz, R. Fernandes, S. Furtado, Efficient
vectors for simple perturbed consistent matrices, International Journal of
Approximating Reasoning 139 (2021), 54-68.
7. M. I. Bueno, S. Furtado, K. C.
Sivakumar, Linear
maps preserving the Lorentz-cone spectrum in certain subspaces of Mn,
Banach journal of Mathematical Analysis 15, article 58, (2021).
8. N. Bebiano,
S. Furtado, A
note on classes of structured matrices with elliptical type numerical range,
Czechoslovak Mathematical Journal 71 (146) (2021), 1015-1023.
9. R. Fernandes, S. Furtado, Extremal
matrices for the Bruhat-graph order, Linear and
Multilinear Algebra 69 (2021), 1255-1274.
10. N. Bebiano,
S. Furtado, Approximating
the eigenvalues and eigenvectors of birth and death matrices, Computational
and Applied Mathematics 39 (2020), article 279
11. N. Bebiano,
R. Fernandes, S. Furtado, Reciprocal
matrices: properties and approximation by a transitive matrix,
Computational and Applied Mathematics 39 (2020), article 50.
12. N. Bebiano,
S. Furtado, Remarks
on anti-tridiagonal matrices, Applied Mathematics and Computation 373
(2020).
13. N. Bebiano, S. Furtado, Nearness results for real
tridiagonal 2-Toeplitz matrices, Numerical Linear Algebra with Applications 26
(2019).
14. N. Bebiano, S. Furtado, A reducing approach for
symmetrically sparse banded and anti-banded matrices, Linear Algebra and its Applications
581 (2019), 36-50.
15. R. A. Brualdi, R. Fernandes, S.
Furtado, On the Bruhat
order of labeled graphs, Discrete Applied Mathematics 258 (2019), 49-64.
16. M. I. Bueno, F. M. Dopico, S.
Furtado, L. Medina, A block-symmetric linearization of
odd degree matrix polynomials with optimal eigenvalue condition number and
backward error,
Calcolo (2018), 55-32.
17. N. Bebiano, S. Furtado, J. da Providência, W-R Xu, J. P. da Providência,
Approximations for Von Neumann and Rényi entropies of graphs using the Euler-Maclaurin formula, Electronic Transactions on
Numerical Analysis 48 (2018), 227-242.
18. N. Bebiano, S. Furtado, Structured distance to normality of
tridiagonal matrices, Linear Algebra and its Applications 552 (2018), 239-255.
19. H. F. Cruz, R. Fernandes, S.
Furtado, Minimal matrices in the Bruhat order for symmetric (0,1)-matrices, Linear Algebra and its Applications
530 (2017), 160-184.
20. M. I. Bueno, F. M. Dopico, S.
Furtado, Linearizations of Hermitian matrix polynomials
preserving the sign characteristic, SIAM Journal on Matrix Analysis and
Applications 38 (2017), 249-272.
21. M. I. Bueno, J. Breen, S. Ford, S.
Furtado, On the sign characteristic of
Hermitian linearizations in DL(P), Linear Algebra and its Applications
519 (2017), 73-101.
22. S. Furtado, C. R. Johnson, C. Marijuán, M. Pisonero, Comparison on the spectral radii of
weighted digraphs that differ in a certain subdigraph, Electronic Notes in Discrete
Mathematics 54 (2016), 85-90.
23. M. I. Bueno, S. Furtado, J. Karkoska, K. Mayfield, R. Samalis,
A. Telatovich, The kernel of the matrix [i.j
mod n] when n is prime, Involve 9 (2016), 265-280.
24. M. I. Bueno,
F. M. Dopico, S. Furtado and M. Richnovsky, Large vector spaces of block-symmetric strong linearizations
of matrix polynomials, Linear Algebra and its
Applications 477 (2015),
165-210.
25. M. I. Bueno and S. Furtado, Structured linearizations
from Fiedler pencils with repetition II, Linear
Algebra and its Applications 463 (2014), 282-321.
26. M. I. Bueno, K. Curlett
and S. Furtado, Structured
linearizations from Fiedler pencils with repetition I,
Linear Algebra and its Applications 460
(2014), 51-80.
27. S. Furtado, C. R. Johnson, C. Marijuán and M. Pisonero, Submatrix monotonocity
of the Perron root II, Linear Algebra and its Applications 458 (2014), 679-688.
28.
S.
Furtado and C. R. Johnson, On the similarity classes among
products of m nonsingular matrices in various orders, Linear Algebra and its Applications 450 (2014), 217-242.
29.
N.
Bebiano, S. Furtado and J. da Providência, An algorithm for constructing a
pseudo-Jacobi matrix from given spectral data, Numerical Linear Algebra with Applications 20 (2013), 185-197.
30. M. I. Bueno, K. Y. Fang, S. Fuller
and S. Furtado, Distribution of the exponents of Primitive
Circulant Matrices in the First Four Boxes of Zn, Involve, a Journal of Mathematics 5-2 (2012),
187--205.
31. M. I. Bueno and S. Furtado, Palindromic linearizations
of a matrix polynomial of odd degree obtained from Fiedler pencils with
repetition, The Electronic Journal of Linear Algebra,
23 (2012), 562-577.
32. N. Bebiano, S. Furtado and J. da Providência, A Quasi-Jacobi form for J-normal matrices
and inverse eigenvalue problems, Linear
Algebra and Its Applications 436 (2012), 1739-1753.
33. N. Bebiano, S. Furtado and J. da Providência, On the eigenvalues of principal submatrices
of J-normal matrices, Linear Algebra and Its
Applications 435 (2011), 3101-3114.
34.
N.
Bebiano, S. Furtado and J. da Providência, Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for J-Hermitian
and J-normal matrices, Linear Algebra and Its
Applications 433 (2010), 80-90.
35. M. I. Bueno and S. Furtado, On
the gaps in the set of exponents of Boolean primitive circulant matrices,
The Electronic Journal of Linear Algebra 20 (2010),
640-660.
36.
S.
Furtado and C. R. Johnson, Order invariant spectral properties
for several matrices, Linear Algebra and Its Applications 432 (2010), 1950-1960.
37. M. I. Bueno, S. Furtado and N. Sherer, The maximum exponent of Boolean circulant
matrices with constant number of nonzero entries in its generating vector, Electronic Journal of Combinatorics 16 No. 1 (2009), Research Paper 66.
38. S. Furtado and C. R. Johnson, Variation in Jordan structure under
congruence: the nonsingular case, Linear and Multilinear Algebra 57, No. 1 (2009), 29-54.
39. S. Furtado, C. R. Johnson and J. Le,
Variation in Jordan structure under
congruence: the nilpotent case, Linear Algebra and Its Applications 429 (2008), 1970-1982.
40.
S.
Furtado, Products of two involutions with prescribed
eigenvalues and some applications, Linear Algebra and Its Applications 429 (2008), 1663-1678.
41.
M. I. Bueno and S. Furtado, On
the exponent of r-regular primitive matrices, The Electronic Journal of Linear Algebra 17 (2008), 28-47.
42.
S. Furtado and C. R. Johnson, Congruence and A-1A*, Portugaliae Mathematica 64, fasc. 2 (2007), 237-251.
43.
M.
I. Bueno, S. Furtado and C. R. Johnson, Congruence of Hermitian matrices by
Hermitian matrices, Linear Algebra and Its Applications 425
(2007), 63-76.
44.
S. Furtado, L. Iglésias and F. C. Silva, Eigenvalues of products of matrices, Linear and Multilinear Algebra
54 (2006), 343-353.
45.
S. Furtado and C. R. Johnson, Perturbation of matrices
diagonalizable under congruence, SIAM
Journal on Matrix Analysis and Applications 28 (2006), 81-88.
46.
S. Furtado, E. Martins and F.
C. Silva, On
similarity invariants of matrix commutators and Jordan products, Linear Algebra and Its Applications 401 (2005), 453-466.
47.
S. Furtado and C. R. Johnson,
Unitary
similarity classes among the cospectral-congruence class
of a matrix,
Linear Algebra and Its Applications 394 (2005), 291-307.
48.
S. Furtado and C. R. Johnson, Congruential automorphism groups of
general matrices, Linear Algebra and Its
Applications 376 (2004), 291-298.
49.
S. Furtado and C. R. Johnson, Spectral
variation under congruence for a nonsingular matrix
with 0 on the boundary of its field of values, Linear Algebra and Its Applications 359 (2003), 67-78.
50.
S. Furtado and C. R. Johnson, On
the number of unitary similarity classes in a C-S equivalence class: The normal
case, Linear Algebra and Its
Applications 348 (2002), 193-202.
51. S. Furtado, L. Iglésias and F. C. Silva, Products of matrices with prescribed spectra and ranks, Linear Algebra and Its Applications 340 (2002), 137-147.
52. S. Furtado, L. Iglésias and F. C. Silva, Products of real matrices with prescribed characteristic polynomials, SIAM Journal on Matrix Analysis and Applications 23 (2001), 656-672.
53. S. Furtado and C. R. Johnson, Spectral variation under congruence, Linear and Multilinear Algebra 49 (2001), 243-259.
54. C. R. Johnson and S. Furtado, A generalization of Sylvester’s law of inertia, Linear Algebra and Its Applications 338 (2001), 287-290.
55.
S. Furtado, E. Martins and F.
C. Silva, On
similarity invariants of matrix commutators, Linear Algebra and Its Applications 335 (2001), 81-93.
56.
S. Furtado and F. C. Silva, Embedding
a regular subpencil into a general linear pencil, Linear Algebra and Its Applications 295 (1999), 61-72.
57. S. Furtado and F. C. Silva, On the characteristic polynomial of matrices with prescribed rows, Linear Algebra and Its Applications 293 (1999), 51-72.
58. S. Furtado and F. C. Silva, On
the characteristic polynomial of matrices with prescribed columns and the stabilization
and observability of linear systems, The
Electronic Journal of Linear Algebra 4 (1998), 19-31.
·
Master thesis Avaliação de
Opções: Fundamentos e Análise do Modelo de Black-Scholes,
supervised by Professor
Bento Murteira (1994).
·
Ph.D. thesis Problemas de
Completação de Matrizes e Aplicações à Teoria do Controlo, supervised by Professor Fernando
Conceição Silva (2000).
Awards
·
Prize Companhia de Seguros Império for the best
Master class student
(1992).