???global.info.a_carregar???
Identification

Personal identification

Full name
Susana Borges

Citation names

  • Borges, Susana

Author identifiers

Ciência ID
6610-BD04-F1A4
ORCID iD
0000-0003-0395-5972
Education
Degree Classification
1996 - 2000
Concluded
 Matemática (Doutoramento)
Major in Álgebra, Lógica e Fundamentos
Universidade de Lisboa Faculdade de Ciências, Portugal
"Problemas de completação de matrizes e aplicações à teoria do controlo" (THESIS/DISSERTATION)
 Aprovada com Distinção e louvor
1991 - 1994
Concluded
 Matemática Aplicada à Economia e à Gestão (Mestrado)
Major in Estatística e Econometria
ISEG Lisbon School of Economics and Management, Portugal
"Avaliação de Opções: Fundamentos e análise do modelo de Black-Scholes" (THESIS/DISSERTATION)
 Muito Bom
1986 - 1990
Concluded
 Matemática Aplicada, ramo de Ciência de Computadores (Licenciatura)
Universidade do Porto Faculdade de Ciências, Portugal
 15
Affiliation

Teaching in Higher Education

Category
Host institution 		Employer
1993/01/01 - Current Assistant Professor (University Teacher) Universidade do Porto Faculdade de Economia, Portugal
Universidade do Porto Faculdade de Economia, Portugal

Other Careers

Category
Host institution 		Employer
1990/01/10 - 1991/10/01 Técnico de Informática Grau 2 Nível 1 (Técnico de informática) BPI, Portugal
Outputs

Publications

Conference paper
  1. Henrique F. Cruz; Rosário Fernandes; Susana Borges Furtado. "Bruhat order for the class of symmetric (0,1)-Matrices with prescribed row sum vector". 2018.
Journal article
  1. Susana Furtado; Charles R. Johnson. "Efficient vectors in priority setting methodology". Annals of Operations Research (2024): https://doi.org/10.1007/s10479-023-05771-y.
    10.1007/s10479-023-05771-y
  2. Susana Furtado; Charles R. Johnson. "Efficiency of any weighted geometric mean of the columns of a reciprocal matrix". Linear Algebra and its Applications (2024): https://doi.org/10.1016/j.laa.2023.10.001.
    10.1016/j.laa.2023.10.001
  3. M.I. Bueno; Susana Furtado. "Singular matrices whose Moore-Penrose inverse is tridiagonal". Applied Mathematics and Computation (2023): https://doi.org/10.1016/j.amc.2023.128154.
    10.1016/j.amc.2023.128154
  4. Susana Furtado; Charles R. Johnson; Carlos Marijuán; Miriam Pisonero. "Square matrices with the inverse diagonal property". Kuwait Journal of Science (2023): https://doi.org/10.1016/j.kjs.2023.09.001.
    10.1016/j.kjs.2023.09.001
  5. Bueno Cachadina, Maria Isabel; Furtado, Susana; Sivakumar, K. C.. "Singular linear preservers of majorization and cone type majorization". Linear and Multilinear Algebra 71 16 (2022): 2631-2644. http://dx.doi.org/10.1080/03081087.2022.2117267.
    10.1080/03081087.2022.2117267
  6. Bueno, María I.; Furtado, Susana; Klausmeier, Aelita; Veltri, Joey. "Linear maps preserving the Lorentz spectrum: the $2 \times 2$ case". The Electronic Journal of Linear Algebra (2022): 317-330. http://dx.doi.org/10.13001/ela.2022.6925.
    10.13001/ela.2022.6925
  7. Furtado, Susana. "Efficient vectors for double perturbed consistent matrices". Optimization 72 11 (2022): 2679-2701. http://dx.doi.org/10.1080/02331934.2022.2070067.
    10.1080/02331934.2022.2070067
  8. Rosário Fernandes; Susana Furtado. "Efficiency of the principal eigenvector of some triple perturbed consistent matrices". European Journal of Operational Research (2022): https://doi.org/10.1016/j.ejor.2021.08.012.
    10.1016/j.ejor.2021.08.012
  9. Henrique F. da Cruz; Rosário Fernandes; Susana Furtado. "Efficient vectors for simple perturbed consistent matrices". International Journal of Approximate Reasoning 139 (2021): 54-68. https://doi.org/10.1016/j.ijar.2021.09.007.
    10.1016/j.ijar.2021.09.007
  10. M. I. Bueno; S. Furtado; K. C. Sivakumar. "Linear maps preserving the Lorentz-cone spectrum in certain subspaces of $$M_{n}$$". Banach Journal of Mathematical Analysis 15 3 (2021): https://doi.org/10.1007/s43037-021-00140-y.
    10.1007/s43037-021-00140-y
  11. Furtado, Susana; Johnson, Charles R.. "Power normal matrices". Linear and Multilinear Algebra 70 20 (2021): 5423-5432. http://dx.doi.org/10.1080/03081087.2021.1917499.
    10.1080/03081087.2021.1917499
  12. Bebiano, Natália; Furtado, Susana. "A note on classes of structured matrices with elliptical type numerical range". Czechoslovak Mathematical Journal 71 4 (2021): 1015-1023. http://dx.doi.org/10.21136/cmj.2021.0174-20.
    10.21136/cmj.2021.0174-20
  13. Furtado, Susana; Johnson, C. R.; Zhang, Yulin. "Linear preservers of copositive matrices". (2021): https://hdl.handle.net/1822/63718.
    10.1080/03081087.2019.1692775
  14. Fernandes, Rosário; Furtado, Susana. "Extremal matrices for the Bruhat-graph order". (2021): http://hdl.handle.net/10362/97936.
    https://doi.org/10.1080/03081087.2020.1749540
  15. Natália Bebiano; Susana Furtado. "Approximating the eigenvalues and eigenvectors of birth and death matrices". Computational and Applied Mathematics 39 4 (2020): https://doi.org/10.1007/s40314-020-01327-z.
    10.1007/s40314-020-01327-z
  16. Natália Bebiano; Susana Furtado. "Remarks on anti-tridiagonal matrices". Applied Mathematics and Computation 373 (2020): 125008-125008. https://doi.org/10.1016/j.amc.2019.125008.
    10.1016/j.amc.2019.125008
  17. Bebiano, Natália; Fernandes, Rosário; Furtado, Susana. "Reciprocal matrices: properties and approximation by a transitive matrix". (2020): http://hdl.handle.net/10362/116008.
    https://doi.org/10.1007/s40314-020-1075-2
  18. Brualdi, R.A.; Fernandes, R.; Furtado, S.. "On the Bruhat order of labeled graphs". Discrete Applied Mathematics 258 (2019): 49-64. http://www.scopus.com/inward/record.url?eid=2-s2.0-85057041913&partnerID=MN8TOARS.
    10.1016/j.dam.2018.10.039
  19. Bebiano, N.; Furtado, S.. "Nearness results for real tridiagonal 2-Toeplitz matrices". Numerical Linear Algebra with Applications 26 5 (2019): http://www.scopus.com/inward/record.url?eid=2-s2.0-85067701125&partnerID=MN8TOARS.
    10.1002/nla.2257
  20. Bebiano, N.; Furtado, S.. "A reducing approach for symmetrically sparse banded and anti-banded matrices". Linear Algebra and Its Applications 581 (2019): 36-50. http://www.scopus.com/inward/record.url?eid=2-s2.0-85068557079&partnerID=MN8TOARS.
    10.1016/j.laa.2019.07.006
  21. Bebiano, N.; Susana, F.; Da Providência, J.; Xu, W.-R.; Da Providência, J.P.. "Approximations for von neumann and rényi entropies of graphs using the euler-maclaurin formula". Electronic Transactions on Numerical Analysis 48 (2018): 227-242. http://www.scopus.com/inward/record.url?eid=2-s2.0-85053505247&partnerID=MN8TOARS.
    10.1553/etna_vol48s227
  22. Bueno, M.I.; Dopico, F.M.; Furtado, S.; Medina, L.. "A block-symmetric linearization of odd degree matrix polynomials with optimal eigenvalue condition number and backward error". Calcolo 55 3 (2018): http://www.scopus.com/inward/record.url?eid=2-s2.0-85050592866&partnerID=MN8TOARS.
    10.1007/s10092-018-0273-4
  23. Bebiano, N.; Furtado, S.. "Structured distance to normality of tridiagonal matrices". Linear Algebra and Its Applications 552 (2018): 239-255. http://www.scopus.com/inward/record.url?eid=2-s2.0-85046786081&partnerID=MN8TOARS.
    10.1016/j.laa.2018.04.023
  24. Bueno, M.I.; Dopico, F.M.; Furtado, S.. "Linearizations of Hermitian matrix polynomials preserving the sign characteristic". SIAM Journal on Matrix Analysis and Applications 38 1 (2017): 249-272. http://www.scopus.com/inward/record.url?eid=2-s2.0-85008324238&partnerID=MN8TOARS.
    10.1137/151004847
  25. Bueno, M.I.; Breen, J.; Ford, S.; Furtado, S.. "On the sign characteristic of Hermitian linearizations in DL(P)". Linear Algebra and Its Applications 519 (2017): 73-101. http://www.scopus.com/inward/record.url?eid=2-s2.0-85008331093&partnerID=MN8TOARS.
    10.1016/j.laa.2016.12.035
  26. da Cruz, H.F.; Fernandes, R.; Furtado, S.. "Minimal matrices in the Bruhat order for symmetric (0,1)-matrices". Linear Algebra and Its Applications 530 (2017): 160-184. http://www.scopus.com/inward/record.url?eid=2-s2.0-85019469175&partnerID=MN8TOARS.
    10.1016/j.laa.2017.05.014
  27. Maria I. Bueno; Susana Furtado; Jennifer Karkoska; Kyanne Mayfield; Robert Samalis; Adam Telatovich. "The kernel of the matrix [ij (modn)] when n is prime". Involve (2016): https://publons.com/wos-op/publon/25318510/.
    10.2140/INVOLVE.2016.9.265
  28. Furtado, S.; Johnson, C.R.; Marijuán, C.; Pisonero, M.. "Comparison on the spectral radii of weighted digraphs that differ in a certain subdigraph". Electronic Notes in Discrete Mathematics 54 (2016): 85-90. http://www.scopus.com/inward/record.url?eid=2-s2.0-84992672007&partnerID=MN8TOARS.
    10.1016/j.endm.2016.09.016
  29. Bueno, M.I.; Dopico, F.M.; Furtado, S.; Rychnovsky, M.. "Large vector spaces of block-symmetric strong linearizations of matrix polynomials". Linear Algebra and Its Applications 477 (2015): 165-210. http://www.scopus.com/inward/record.url?eid=2-s2.0-84927647331&partnerID=MN8TOARS.
    10.1016/j.laa.2015.03.032
  30. Bueno, M.I.; Curlett, K.; Furtado, S.. "Structured strong linearizations from Fiedler pencils with repetition I". Linear Algebra and its Applications 460 (2014): 51-80. http://dx.doi.org/10.1016/j.laa.2014.07.039.
    10.1016/j.laa.2014.07.039
  31. Bueno, M.I.; Furtado, S.; Curlett, K.. "Structured strong linearizations from Fiedler pencils with repetition II". Linear Algebra and Its Applications 463 (2014): 282-321. http://www.scopus.com/inward/record.url?eid=2-s2.0-84907555733&partnerID=MN8TOARS.
    10.1016/j.laa.2014.08.029
  32. Furtado, S.; Johnson, C.R.. "On the similarity classes among products of m nonsingular matrices in various orders". Linear Algebra and Its Applications 450 (2014): 217-242. http://www.scopus.com/inward/record.url?eid=2-s2.0-84897501965&partnerID=MN8TOARS.
    10.1016/j.laa.2014.03.017
  33. Furtado, S.; Johnson, C.R.; Marijuán, C.; Pisonero, M.. "Submatrix monotonicity of the Perron root, II". Linear Algebra and Its Applications 458 (2014): 679-688. http://www.scopus.com/inward/record.url?eid=2-s2.0-84904214691&partnerID=MN8TOARS.
    10.1016/j.laa.2014.06.047
  34. Bebiano, N.; Furtado, S.; da Providência, J.. "An algorithm for constructing a pseudo-Jacobi matrix from given spectral data". Numerical Linear Algebra with Applications 20 2 (2013): 185-197. http://www.scopus.com/inward/record.url?eid=2-s2.0-84873676429&partnerID=MN8TOARS.
    10.1002/nla.1855
  35. Bueno, M.I.; Furtado, S.; Bueno, M. I.. "Palindromic linearizations of a matrix polynomial of odd degree obtained from fiedler pencils with repetitio". Electronic Journal of Linear Algebra 23 (2012): 562-577. http://www.scopus.com/inward/record.url?eid=2-s2.0-84892671810&partnerID=MN8TOARS.
    10.13001/1081-3810.1541
  36. Bebiano, N.; Furtado, S.; Da Providência, J.. "A quasi-Jacobi form for J-normal matrices and inverse eigenvalue problems". Linear Algebra and Its Applications 436 6 (2012): 1739-1753. http://www.scopus.com/inward/record.url?eid=2-s2.0-84865787721&partnerID=MN8TOARS.
    10.1016/j.laa.2011.06.017
  37. Maria Isabel Bueno; Kuan-Ying Fang; Samantha Fuller; Susana Furtado. "Distribution of the exponents of primitive circulant matrices in the first four boxes of Z n ". Involve (2012): https://publons.com/wos-op/publon/16138239/.
    10.2140/INVOLVE.2012.5.187
  38. Bebiano, N.; Furtado, S.; Da Providência, J.. "On the eigenvalues of principal submatrices of J-normal matrices". Linear Algebra and Its Applications 435 12 (2011): 3101-3114. http://www.scopus.com/inward/record.url?eid=2-s2.0-80051584097&partnerID=MN8TOARS.
    10.1016/j.laa.2011.05.033
  39. Bueno, M.I.; Furtado, S.; Bueno, Maribel I.; Furtado, Susana. "On the gaps in the set of exponents of boolean primitive circulant matrices". Electronic Journal of Linear Algebra 20 (2010): 640-660. http://www.scopus.com/inward/record.url?eid=2-s2.0-78449270657&partnerID=MN8TOARS.
    10.13001/1081-3810.1399
  40. Furtado, S.; Johnson, C.R.. "Order invariant spectral properties for several matrices". Linear Algebra and Its Applications 432 8 (2010): 1950-1960. http://www.scopus.com/inward/record.url?eid=2-s2.0-75749098094&partnerID=MN8TOARS.
    10.1016/j.laa.2009.04.014
  41. Bebiano, N.; Furtado, S.; da Providência, J.. "Analogs of Cauchy-Poincaré and Fan-Pall interlacing theorems for J-Hermitian and J-normal matrices". Linear Algebra and Its Applications 433 1 (2010): 80-90. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950859975&partnerID=MN8TOARS.
    10.1016/j.laa.2010.01.035
  42. Bueno, M. I.; Furtado, S.; Sherer, N.. "Maximum exponent of boolean circulant matrices with constant number of nonzero entries in their generating vector". Electronic Journal of Combinatorics (2009): https://publons.com/wos-op/publon/10497591/.
  43. Furtado, S.; Johnson, C.R.. "Variation in Jordan structure under congruence: The nonsingular case". Linear and Multilinear Algebra 57 1 (2009): 29-54. http://www.scopus.com/inward/record.url?eid=2-s2.0-54249099942&partnerID=MN8TOARS.
    10.1080/03081080701553719
  44. Bueno, M.I.; Furtado, S.. "On the exponent of r-regular primitive matrices". Electronic Journal of Linear Algebra 17 (2008): 28-47. http://www.scopus.com/inward/record.url?eid=2-s2.0-38749153570&partnerID=MN8TOARS.
  45. Furtado, S.. "Products of two involutions with prescribed eigenvalues and some applications". Linear Algebra and Its Applications 429 7 (2008): 1663-1678. http://www.scopus.com/inward/record.url?eid=2-s2.0-48749095420&partnerID=MN8TOARS.
    10.1016/j.laa.2008.04.044
  46. Furtado, S.; Johnson, C.; Le, J.. "Variation in Jordan structure under congruence: The Nilpotent case". Linear Algebra and Its Applications 429 8-9 (2008): 1970-1982. http://www.scopus.com/inward/record.url?eid=2-s2.0-49249137031&partnerID=MN8TOARS.
    10.1016/j.laa.2008.05.032
  47. Bueno, M.I.; Furtado, S.; Johnson, C.R.. "Congruence of Hermitian matrices by Hermitian matrices". Linear Algebra and Its Applications 425 1 (2007): 63-76. http://www.scopus.com/inward/record.url?eid=2-s2.0-34249719030&partnerID=MN8TOARS.
    10.1016/j.laa.2007.03.016
  48. Furtado, Susana; Johnson, Charles. "Congruence and A-1A*". Portugaliae Mathematica (2007): 237-251. http://dx.doi.org/10.4171/pm/1785.
    10.4171/pm/1785
  49. Furtado, S.; Iglésias, L.; Silva, F.C.. "Eigenvalues of products of matrices". Linear and Multilinear Algebra 54 5 (2006): 343-353. http://www.scopus.com/inward/record.url?eid=2-s2.0-33745417595&partnerID=MN8TOARS.
    10.1080/03081080500230089
  50. Furtado, S.; Johnson, C.R.. "Perturbation of matrices diagonalizable under congruence". SIAM Journal on Matrix Analysis and Applications 28 1 (2006): 81-88. http://www.scopus.com/inward/record.url?eid=2-s2.0-33847176243&partnerID=MN8TOARS.
    10.1137/S089547980343775X
  51. Furtado, S.; Johnson, C.R.. "Unitary similarity classes within the cospectral-congruence class of a matrix". Linear Algebra and Its Applications 394 1-3 (2005): 291-307. http://www.scopus.com/inward/record.url?eid=2-s2.0-7544231845&partnerID=MN8TOARS.
    10.1016/j.laa.2004.07.019
  52. Furtado, S.; Martins, E.A.; Silva, F.C.. "On similarity invariants of matrix commutators and Jordan products". Linear Algebra and Its Applications 401 1-3 (2005): 453-466. http://www.scopus.com/inward/record.url?eid=2-s2.0-16344367089&partnerID=MN8TOARS.
    10.1016/j.laa.2004.12.011
  53. Furtado, S.; Johnson, C.R.. "Congruential automorphism groups of general matrices". Linear Algebra and Its Applications 376 1-3 (2004): 291-298. http://www.scopus.com/inward/record.url?eid=2-s2.0-0142125711&partnerID=MN8TOARS.
    10.1016/j.laa.2003.07.006
  54. Furtado, S.; Johnson, C.R.. "Spectral variation under congruence for a nonsingular matrix with 0 on the boundary of its field of values". Linear Algebra and Its Applications 359 1-3 (2003): 67-78. http://www.scopus.com/inward/record.url?eid=2-s2.0-0037437508&partnerID=MN8TOARS.
    10.1016/S0024-3795(02)00429-9
  55. Furtado, S; Iglésias, L; Silva, FC. "Products of matrices with prescribed spectra and ranks". Linear Algebra and Its Applications (2002): https://publons.com/wos-op/publon/12941297/.
    10.1016/S0024-3795(01)00418-9
  56. Furtado, S.; Johnson, C.R.. "On the number of unitary similarity classes in a C-S equivalence class: The normal case". Linear Algebra and Its Applications 348 1-3 (2002): 193-202. http://www.scopus.com/inward/record.url?eid=2-s2.0-31244435855&partnerID=MN8TOARS.
    10.1016/S0024-3795(01)00579-1
  57. Furtado, S.; Iglésias, L.; Silva, F.C.. "Products of real matrices with prescribed characteristic polynomials". SIAM Journal on Matrix Analysis and Applications 23 3 (2002): 656-672. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036018685&partnerID=MN8TOARS.
    10.1137/S0895479800381690
  58. Johnson, C.R.; Furtado, S.. "A generalization of Sylvester's law of inertia". Linear Algebra and Its Applications 338 1-3 (2001): 287-290. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035889794&partnerID=MN8TOARS.
    10.1016/S0024-3795(01)00408-6
  59. Furtado, S.; Johnson, C.R.. "Spectral variation under congruence". Linear and Multilinear Algebra 49 3 (2001): 243-259. http://www.scopus.com/inward/record.url?eid=2-s2.0-0142076661&partnerID=MN8TOARS.
  60. Furtado, S.; Martins, E.A.; Silva, F.C.. "On similarity invariants of matrix commutators". Linear Algebra and Its Applications 335 1-3 (2001): 81-93. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035885343&partnerID=MN8TOARS.
    10.1016/S0024-3795(00)00334-7
  61. Furtado, S; Silva, FC. "On the characteristic polynomial of matrices with prescribed rows". Linear Algebra and Its Applications (1999): https://publons.com/wos-op/publon/12941308/.
    10.1016/S0024-3795(99)00020-8
  62. Furtado, S.; Silva, F.C.. "Embedding a regular subpencil into a general linear pencil". Linear Algebra and Its Applications 295 1-3 (1999): 61-72. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033467867&partnerID=MN8TOARS.
  63. Susana Furtado; Fernando C. Silva. "On the characteristic polynomial of matrices with prescribed columns and the stabilization and observability of linear systems". Electronic Journal of Linear Algebra (1998): https://publons.com/wos-op/publon/15699399/.
    10.13001/1081-3810.1022
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/08 A matrix approach in the study of efficient vectors in priority setting methodology, minisimposyum "Structured matrices with applications in sciences and engineering". 10th International Conference on Industrial and Applied Mathematics
(Tóquio, Japan)
2023/06 Generating efficient vectors for pairwise comparison matrices 25th Conference of the International Linear Algebra Society
(Madrid, Spain)
2022/06 Efficient vectors for perturbed consistent matrices mini-simpósio "Special matrices", 24th Conference of the International Linear Algebra Society,
(Galway, Ireland)
2019/07 Nearness Problems for Tridiagonal Complex Matrices mini-simpósio "New trends on Toeplitz matrices and operators", International congress on industrial and applied mathematics
(Valência, Spain)
2019/07 Structured distance to normality of tridiagonal matrices 22nd conference of the ILAS
(Rio de Janeiro, Brazil)
2018/05 Block-tridiagonal linearizations of matrix polynomials, mini-simpósio "Tridiagonal matrices and their applications in physics and mathematics", SIAM Conference on Applied Linear Algebra,
(Hong kong, Hong Kong SAR China)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2023/10 - 2024/01 Teorema de Perron e aplicações ao estudo de propriedades espetrais de matrizes recíprocas.
Supervisor
Universidade de Lisboa Centro de Análise Funcional Estruturas Lineares e Aplicações, Portugal

Event organisation

Event name
Type of event (Role) 		Institution / Organization
2023/10 - Current Organization of a webseminar "Special matrices and their applications (SMATA)", with Natália Bebiano, Alex Dyachenko and Mikhial Tyaglov https://math.sjtu.edu.cn/conference_a/tyaglov/seminars/special%20matrices/index.html (2023/10)
Seminar (Member of the Organising Committee)
2023/08 - 2023/08 Minisymposium "Structured matrices with applications in sciences and engineering", 10th International Conference on Industrial and Applied Mathematics, Tokyo, Japan. (2023/08 - 2023/08)
Symposium (Co-organisor)
2022/06 - 2022/06 Minisymposium Special Matrices, 23rd meeting of the international linear algebra society (ILAS 2022), Galway, Ireland; organized with Natália Bebiano and Mikail Tyaglov. (2022/06 - 2022/06)
Symposium (Member of the Organising Committee)
2019/07 - 2019/07 Special session Matrix Theory and Control, International workshop on operator theory and its applications (IWOTA 2019), organized with Marija Dodig. (2019/07 - 2019/07)
Symposium (Member of the Organising Committee)
 Universidade de Lisboa, Portugal
2019 - 2019 Minisymposium New trends on Toeplitz matrices and operators, International congress on industrial and applied mathematics (ICIAM 2019), Valência, Espanha, julho de 2019; organized with Natália Bebiano and Rosário Fernandes. (2019 - 2019)
Symposium

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2020/09 Generalized companion forms for scalar and matrix polynomials
(Thesis) Main arguer
 Carla Hernando Fuster (PhD)
Distinctions

Award

1994 Prémio Companhia de Seguros Império
ISEG Lisbon School of Economics and Management, Portugal