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Rosario Fernandes. He completed his PhD in Mathematics in 1999/06 from Universidade Nova de Lisboa, her master's degree in Mathematics in 1990/10 from the Faculty of Sciences of the University of Lisbon, her degree in Applied Mathematics in 1996 from the Faculty of Science and Technology of Universidade NOVA de Lisboa and a Degree in Pure Mathematics in 1987 from the Faculty of Sciences of the University of Lisbon. She is an Associate Professor at the Faculty of Science and Technology at NOVA University Lisbon. She published 49 articles in specialized journals. She was co-supervisor of 1 doctoral thesis; the supervisor of 8 undergraduate course completion projects. She participates and/or participated as a researcher in 6 project(s). In your Science Vitae curriculum, the most frequent terms in the scope of scientific, technological and artistic-cultural production are: (0,1)-matrices; Bruhat order; Partial order; Secondary Bruhat order; Algebra and Number Theory; Geometry and Topology; Computational Theory and Mathematics; -Matrices; 05B20; 06A07; maximal matrices; minimal matrices; symmetric matrices; Analytical hierarchical process; Frobenius norm; Perron eigenvalue; Rank; Reciprocal matrix; Toeplitz matrix; Transitive matrix; Computational Mathematics; Applied Mathematics; (0,1)-matrix; Gale-Ryser Theorem; Network flows; t-term rank; Numerical Analysis; Discrete Mathematics and Combinatorics; (0, 1)-Matrices; Interchanges; Minimal elements; Secondary bruhat order; Eigenvalue multiplicities; Symmetric matrices; Trees; Two largest multiplicities; Parter vertices; Maximum nullity; Doubly stochastic matrices; Matrix algebra; Centralizers; Adjacency matrix; Degree sequence; Labeled graph; Switching; Symmetric matrix; Acyclic matrices; Inverse eigenvalue problem; Periodic Jacobi matrix; Eigenvalues; Multiplicities; Graphs; Cycle; .
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Identification

Personal identification

Full name
Rosário Fernandes

Author identifiers

Ciência ID
F51C-3170-CEC1

Knowledge fields

  • Exact Sciences - Mathematics - Pure Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
Spanish; Castilian Proficiency (C2) Proficiency (C2) Advanced (C1) Proficiency (C2) Proficiency (C2)
French Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1) Advanced (C1)
English Upper intermediate (B2) Advanced (C1) Upper intermediate (B2) Upper intermediate (B2) Advanced (C1)
Projects

Contract

Designation Funders
2020 - Current UIDB/00297/2020
UIDB/00297/2020
Researcher
Universidade Nova Centro de Matemática e Aplicações, Portugal
 Associação para a Inovação e Desenvolvimento da FCT
Ongoing
2020 - Current UIDP/00297/2020
UIDP/00297/2020
Researcher
Universidade Nova Centro de Matemática e Aplicações, Portugal
Ongoing
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 1431 - 2011-2012
PEst-OE/MAT/UI1431/2011
Fundação da Faculdade de Ciências da Universidade de Lisboa, Portugal
 Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Conference abstract
  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. Fernandes, R; Palma, R. "Positive vectors, pairwise comparison matrices and directed Hamiltonian cycles". LINEAR ALGEBRA AND ITS APPLICATIONS (2024): https://www.authenticus.pt/P-010-YJC.
    10.1016/j.laa.2024.07.003
  2. Fernandes, R; Palheira, S. "Triple perturbed consistent matrix and the efficiency of its principal right eigenvector". INTERNATIONAL JOURNAL OF APPROXIMATE REASONING (2024): https://www.authenticus.pt/P-010-AFC.
    10.1016/j.ijar.2024.109204
  3. Fernandes, Rosário; de Freitas, Maria A. A.; Silva, Celso M. da; Del-Vecchio, Renata R.. Corresponding author: Silva, Celso M. da. "On the multiplicities of distance Laplacian eigenvalues". Computational and Applied Mathematics 42 7 (2023): http://dx.doi.org/10.1007/s40314-023-02460-1.
    Published • 10.1007/s40314-023-02460-1
  4. Duffner, M. Antónia; Fernandes, Rosário. Corresponding author: Fernandes, Rosário. "On the term rank partitions of matrices in A(R,S)". Linear and Multilinear Algebra (2023): 1-16. http://dx.doi.org/10.1080/03081087.2023.2172375.
    Accepted • 10.1080/03081087.2023.2172375
  5. Fernandes, Rosário; Rosário Fernandes; Brualdi, Richard A.; Furtado, Susana. Corresponding author: Fernandes, Rosário. "On certain trees with the same degree sequence". Discrete Applied Mathematics 321 1 (2022): 138-146. http://dx.doi.org/10.1016/j.dam.2022.06.043.
    Published • 10.1016/j.dam.2022.06.043
  6. Rosário Fernandes; Susana Furtado; Furtado, Susana; Fernandes, Rosário; da Cruz, Henrique F.; Henrique F. da Cruz. Corresponding author: Furtado, Susana. "Efficiency of the principal eigenvector of some triple perturbed consistent matrices". European Journal of Operational Research 298 3 (2022): 1007-1015. https://novaresearch.unl.pt/en/publications/3a3ddb6f-ca0e-445a-b701-8c4ed3fa67a1.
    10.1016/j.ejor.2021.08.012
  7. Fernandes, Rosário. Corresponding author: Fernandes, Rosário. "On the switch-length of two connected graphs with the same degree sequence". The Australasian journal of combinatorics 83 (2022): 87-100.
    Published
  8. da Cruz, Henrique F.; Fernandes, Rosário; Furtado, Susana. "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
  9. Fernandes, Rosário; Da Cruz, Henrique F.; Salomão, Domingos. Corresponding author: Fernandes, Rosário. "On the little secondary Bruhat order". The Electronic Journal of Linear Algebra 37 37 (2021): 113-126. http://dx.doi.org/10.13001/ela.2021.5331.
    10.13001/ela.2021.5331
  10. Fernandes, Rosário; da Cruz, Henrique; Salomão, Domingos. Corresponding author: Fernandes, Rosário. "The Bruhat order on classes of isotopic Latin squares". Portugaliae Mathematica 77 1 (2020): 111-131. http://dx.doi.org/10.4171/pm/2046.
    10.4171/pm/2046
  11. Fernandes, Rosário; da Cruz, Henrique F.; Salomão, Domingos. Corresponding author: Fernandes, Rosário. "On a conjecture concerning the Bruhat order". Linear Algebra and its Applications 600 (2020): 82-95. https://doi.org/10.1016/j.laa.2020.04.015.
    10.1016/j.laa.2020.04.015
  12. Rosário Fernandes; Henrique F. da Cruz; Domingos Salomão; Cruz, Henrique F. da; Salomão, Domingos; Fernandes, Rosário. Corresponding author: Cruz, Henrique F. da. "LATIN SQUARES and THEIR BRUHAT ORDER". Contributions to Discrete Mathematics 15 1 (2020): 102-120. https://novaresearch.unl.pt/en/publications/24b9a5c2-3421-4ed2-99b2-9e4a549b2ae1.
    10.55016/ojs/cdm.v15i1.62708
  13. Fernandes, Rosário; Furtado, Susana. Corresponding author: Fernandes, Rosário. "Extremal matrices for the Bruhat-graph order". Linear and Multilinear Algebra 69 7 (2020): 1255-1274. http://dx.doi.org/10.1080/03081087.2020.1749540.
    10.1080/03081087.2020.1749540
  14. Fernandes, Rosário; da Cruz, Henrique F.; Palheira, Susana C.. Corresponding author: Fernandes, Rosário. "Matrices in A(R,S) with minimum t-term ranks". Linear Algebra and its Applications 586 (2020): 239-261. https://doi.org/10.1016/j.laa.2019.10.010.
    10.1016/j.laa.2019.10.010
  15. Bebiano, Natália; Fernandes, Rosário; Furtado, Susana. Corresponding author: 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
  16. Fernandes, Rosário; da Cruz, Henrique F.; Salomão, Domingos. Corresponding author: da Cruz, Henrique F.. "Classes of (0,1)-matrices Where the Bruhat Order and the Secondary Bruhat Order Coincide". Order 37 2 (2019): 207-221. http://dx.doi.org/10.1007/s11083-019-09500-8.
    10.1007/s11083-019-09500-8
  17. Brualdi, Richard A.; Fernandes, Rosário; Furtado, Susana. "On the Bruhat order of labeled graphs". Discrete Applied Mathematics 258 (2019): 49-64. https://doi.org/10.1016/j.dam.2018.10.039.
    10.1016/j.dam.2018.10.039
  18. Fernandes, Rosário; da Cruz, Henrique F.. Corresponding author: Fernandes, Rosário. "The number of P-vertices in a matrix with maximum nullity". Linear Algebra and its Applications 547 (2018): 168-182. https://doi.org/10.1016/j.laa.2018.02.018.
    10.1016/j.laa.2018.02.018
  19. Fernandes, Rosário; de Freitas, Maria Aguieiras A.; da Silva, Celso M.; Del-Vecchio, Renata R.; da Cruz, Henrique F.; Palheira, Susana C.; Salomão, Domingos; Dolinar, Gregor; Kuzma, Bojan. Corresponding author: Fernandes, Rosário. "Multiplicities of distance Laplacian eigenvalues and forbidden subgraphs". Linear Algebra and its Applications 541 (2018): 81-93. http://dx.doi.org/10.1016/j.laa.2017.11.031.
    10.1016/j.laa.2017.11.031
  20. Fernandes, Rosário; Cruz, Henrique. Corresponding author: Fernandes, Rosário. "Construção de matrizes inteiras com somas das linhas e das colunas prescritas". Boletim da Sociedade Portuguesa da Matemática 75 (2018): 37-48. https://revistas.rcaap.pt/boletimspm/article/view/15168.
    Published
  21. da Cruz, H.F.; Dolinar, G.; Fernandes, Rosário; Kuzma, B.. Corresponding author: Dolinar, G.. "Corrigendum to Maximal doubly stochastic matrix centralizers [Linear Algebra Appl. 532 (2017) 387¿396] (S0024379517303932) (10.1016/j.laa.2017.06.029))". Linear Algebra and Its Applications 555 (2018): 432-433. http://www.scopus.com/inward/record.url?eid=2-s2.0-85050236516&partnerID=MN8TOARS.
    10.1016/j.laa.2018.07.020
  22. da Cruz, Henrique F.; Dolinar, Gregor; Fernandes, Rosário; Kuzma, Bojan. "Maximal doubly stochastic matrix centralizers". Linear Algebra and its Applications 532 (2017): 387-396. https://doi.org/10.1016/j.laa.2017.06.029.
    10.1016/j.laa.2017.06.029
  23. Duffner, M.A.; Fernandes, R.. "Semilinear preservers of the immanants in the set of doubly stochastic matrices". Electronic Journal of Linear Algebra 32 (2017): 76-97. http://www.scopus.com/inward/record.url?eid=2-s2.0-85019553445&partnerID=MN8TOARS.
    10.13001/1081-3810.3190
  24. 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
  25. Rosário Fernandes; Henrique F. da Cruz. "A canonical construction for nonnegative integral matrices with given line sums". Linear Algebra and its Applications 484 (2015): 304-321. http://dx.doi.org/10.1016/j.laa.2015.06.033.
    10.1016/j.laa.2015.06.033
  26. Fernandes, Maria do Rosário Silva Franco; Rosário Fernandes. "The maximum multiplicity and the two largest multiplicities of eigenvalues in a Hermitian matrix whose graph is a tree". Special Matrices 3 1 (2015): http://hdl.handle.net/10362/21965.
    https://doi.org/10.1515/spma-2015-0001
  27. Fernandes, R; Rosário Fernandes. "Computing the degree of a vertex in the skeleton of acyclic Birkhoff polytopes". LINEAR ALGEBRA AND ITS APPLICATIONS 475 (2015): 119-133. https://www.authenticus.pt/P-00G-5NW.
    10.1016/j.1aa.2015.02.005
  28. Rosário Fernandes; Henrique F. da Cruz. "On the term rank partition". Linear Algebra and its Applications 458 (2014): 134-148. http://dx.doi.org/10.1016/j.laa.2014.05.045.
    10.1016/j.laa.2014.05.045
  29. Rosário Fernandes; Henrique F. da Cruz. "Sets of Parter vertices which are Parter sets". Linear Algebra and its Applications 448 (2014): 37-54. http://dx.doi.org/10.1016/j.laa.2014.02.004.
    10.1016/j.laa.2014.02.004
  30. Fernandes, Rosário; Cruz, Henrique F. da. "Algoritmo de construção de matrizes de zeros e uns com soma das filas prescritas". (2014): https://revistas.rcaap.pt/boletimspm/article/view/6791.
  31. Rosário Fernandes; Henrique F. da Cruz. "An extension of Brualdi’s algorithm for the construction of -matrices with prescribed row and column sum vectors". Discrete Mathematics 313 20 (2013): 2365-2379. http://dx.doi.org/10.1016/j.disc.2013.06.016.
    10.1016/j.disc.2013.06.016
  32. Rosário Fernandes; Henrique F. da Cruz. "The Multilinear Algebra of José Dias da Silva and the Portuguese school of mathematics". Linear Algebra and its Applications 436 6 (2012): 1545-1561. http://dx.doi.org/10.1016/j.laa.2011.03.026.
    10.1016/j.laa.2011.03.026
  33. Henrique F. da Cruz; Rosário Fernandes. "On pairs of matrices that satisfy certain polynomial identities". Linear Algebra and its Applications 436 6 (2012): 1589-1605. http://dx.doi.org/10.1016/j.laa.2011.09.025.
    10.1016/j.laa.2011.09.025
  34. Rosário Fernandes. "Location of the eigenvalues of weighted graphs with a cut edge". Linear and Multilinear Algebra 58 3 (2010): 305-322. http://dx.doi.org/10.1080/03081080802443158.
    10.1080/03081080802443158
  35. Fernandes, R.; Da Cruz, H.F.; Rosário Fernandes. "Pairs of matrices that preserve the value of a generalized matrix function on the set of the upper triangular matrices". Linear Algebra and Its Applications 433 7 (2010): 1336-1347. http://www.scopus.com/inward/record.url?eid=2-s2.0-77955556197&partnerID=MN8TOARS.
    10.1016/j.laa.2010.05.013
  36. Rosário Fernandes. "Small perturbations and pairs of matrices that have the same immanent". Linear and Multilinear Algebra 58 8 (2010): 977-991. http://dx.doi.org/10.1080/03081080903152674.
    10.1080/03081080903152674
  37. Fernandes, R.; da Cruz, H.F.. "On the matrices that preserve the value of the immanant of the upper triangular matrices". Operators and Matrices 4 1 (2010): 77-101. http://www.scopus.com/inward/record.url?eid=2-s2.0-77954938521&partnerID=MN8TOARS.
  38. Fernandes, R.; da Cruz, H.F.; Rodrigues, F.. "Decomposable ¿-critical tensors". Linear Algebra and Its Applications 433 1 (2010): 297-317. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950858039&partnerID=MN8TOARS.
    10.1016/j.laa.2010.02.022
  39. Rosário Fernandes. "Rank partitions and covering numbers under small perturbations of an element". Linear and Multilinear Algebra 57 4 (2009): 387-398. http://dx.doi.org/10.1080/03081080701814244.
    10.1080/03081080701814244
  40. Fernandes, Rosário; Fonseca, C.M.. "The inverse eigenvalue problem for Hermitian matrices whose graph is a cycle". Linear and Multilinear Algebra 57 (2009): 673-682.
    Published
  41. Fernandes, R.. "On the inverse eigenvalue problems: The case of superstars". Electronic Journal of Linear Algebra 18 (2009): 442-461. http://www.scopus.com/inward/record.url?eid=2-s2.0-70349472856&partnerID=MN8TOARS.
  42. Fernandes, Rosário; Gomes, Helena Margarida dos Santos Vasconcelos; Martins, Enide; Rosário Fernandes; Helena Gomes; Enide Andrade Martins. "On the spectra of some graphs like weighted rooted trees". Linear Algebra and its Applications 428 11-12 (2008): 2654-2674. http://hdl.handle.net/10400.19/1176.
    10.1016/j.laa.2007.12.012
  43. Fernandes, Rosário; Fonseca, C. M. da; Rosário Fernandes; C.M. da Fonseca. "The inverse eigenvalue problem for Hermitian matrices whose graphs are cycles". Linear and Multilinear Algebra 57 7 (2008): 673-682. http://hdl.handle.net/10316/11145.
    10.1080/03081080802187870
  44. Rosário Fernandes. "On the maximum multiplicity of an eigenvalue in a matrix whose graph contains exactly one cycle". Linear Algebra and its Applications 422 1 (2007): 1-16. http://dx.doi.org/10.1016/j.laa.2006.06.030.
    10.1016/j.laa.2006.06.030
  45. Rosàrio Fernandes; Ceci´lia Perdigão. "The minimum rank of matrices and the equivalence class graph". Linear Algebra and its Applications 427 2-3 (2007): 161-170. http://dx.doi.org/10.1016/j.laa.2007.07.002.
    10.1016/j.laa.2007.07.002
  46. Fernandes, R.. "Matrices that preserve the value of the generalized matrix function of the upper triangular matrices". Linear Algebra and Its Applications 401 1-3 (2005): 47-65. http://www.scopus.com/inward/record.url?eid=2-s2.0-16344391201&partnerID=MN8TOARS.
    10.1016/j.laa.2003.08.009
  47. Fernandes, R.. "On the powers of a vectorial matroid - An equivalence relation". Linear Algebra and Its Applications 381 1-3 (2004): 77-95. http://www.scopus.com/inward/record.url?eid=2-s2.0-1342264190&partnerID=MN8TOARS.
    10.1016/j.laa.2003.08.024
  48. Fernandes, Rosário. Corresponding author: Fernandes, Rosário. "Covering numbers under small perturbations". Linear Algebra and its Applications 350 (2002): 105-124.
    Published
  49. Fernandes, R.. "On the covering number of a matroid element". Linear Algebra and Its Applications 337 1-3 (2001): 21-35. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035501595&partnerID=MN8TOARS.
    10.1016/S0024-3795(01)00332-9
  50. Fernandes, R.. "On the kernel of the derivation operator". Linear Algebra and Its Applications 337 1-3 (2001): 121-138. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035501648&partnerID=MN8TOARS.
    10.1016/S0024-3795(01)00344-5
  51. Dias Da Silva, J.A.; Fernandes, R.. "The rank partition and the covering number of the elements of the dual matroid". Ars Combinatoria 59 (2001): 129-144. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035318060&partnerID=MN8TOARS.
  52. Fernandes, R.. "The covering number of elements of a matroid and associated transformations". Linear Algebra and Its Applications 298 1-3 (1999): 51-71. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033437622&partnerID=MN8TOARS.
    10.1016/S0024-3795(99)00141-X
  53. Dias Da Silva, J.A.; Fernandes, R.; Fonseca, A.. "The covering number of the elements of a matroid and generalized matrix functions". Linear Algebra and Its Applications 271 1-3 (1998): 191-219. http://www.scopus.com/inward/record.url?eid=2-s2.0-0042496385&partnerID=MN8TOARS.
    10.1016/S0024-3795(97)00268-1
  54. Rosário Fernandes. "Pairs of matrices that have the same immanant". Linear and Multilinear Algebra 40 3 (1996): 193-201. https://novaresearch.unl.pt/en/publications/cf840eb8-a064-4e40-a919-39d84bd1a407.
    10.1080/03081089608818436
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/06 Some partial orders on the class of (01)-matrices and related conjectures Combinatorics Day
(Portugal)
2023/06 Number of non-isomorphic graphs obtained from a tree by switches Conference of International Linear Algebra Society
(Madrid, Spain)
2021/10 Eigenvalues of the distance Laplacian matrix MAT Triad
(Portugal)

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2025/01/15 - 2025/02/28 Conjuntos k-independentes de vértices de um grafo
Co-supervisor
 Projeto de Iniciação à Investigação (Degree)
Universidade Nova de Lisboa Departamento de Matemática, Portugal
2024/03/03 - 2024/06/06 A study on chain graphs and on the k-independence number of trees
Supervisor
 Seminário mestrado em matemática pura (Master)
Universidade Nova de Lisboa Departamento de Matemática, Portugal
2023/01/17 - 2023/03/01 Matrizes reais simétricas associadas a grafos simples.
Co-supervisor
 Projeto de Iniciação à Investigação Científica (Degree)
Universidade Nova de Lisboa Departamento de Matemática, Portugal
2023/01/16 - 2023/03/01 Matrizes de julgamento no AHP
Supervisor
 Projeto de Iniciação à Investigação Cientifica (Degree)
Universidade Nova de Lisboa Departamento de Matemática, Portugal
2016 - 2020 Ordens de Bruhat em algumas classes de matrizes
Co-supervisor
 Matemática (PhD)
Universidade da Beira Interior, Portugal
1999 - 1999 Espaços Vectoriais com Produto Interno
Supervisor
 Matemática (Degree)
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal
1999 - 1999 Forma Canónica de Jordan
Supervisor
 Matemática (Degree)
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal
1999 - 1999 Forma Canónica de Jordan
Supervisor
 Matemática (Degree)
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal
1999 - 1999 Aplicações Bilineares
Supervisor
 Matemática (Degree)
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal
1999 - 1999 Espaços Quociente
Supervisor
 Matemática
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal
1999 - 1999 Triangularização de Matrizes
Supervisor
 Matemática (Degree)
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal
1997 - 1997 Grafos Hamiltonianos
Supervisor
 Matemática (Degree)
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2021 Representações de Números Reais
(Thesis) Arguer
 José Chimpamzo (Master)
Universidade da Beira Interior, Portugal
2006 A Dimensão Ortogonal dos Conjuntos Orbitais
(Thesis) Arguer
 Maria Manuel Correia Torres (PhD)
Universidade de Lisboa, Portugal
2002 Desigualdades Traciais e Determinantais
(Thesis) Arguer
 Maria Cecília Perdigão Dias da Silva (PhD)
Universidade NOVA de Lisboa Faculdade de Ciências e Tecnologia, Portugal