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Identification

Personal identification

Full name
Carla Maria Alves Ferreira

Citation names

  • Ferreira, Carla

Author identifiers

Ciência ID
4C10-E288-DB4F
ORCID iD
0000-0002-2230-422X
Education
Degree Classification
2007/07/03
Concluded
Doutoramento em Matemática (Doutoramento)
Major in Matemática
Universidade do Minho Escola de Ciências, Portugal
"The Unsymmetric Tridiagonal Eigenvalue Problem" (THESIS/DISSERTATION)
Aprovado
1999
Concluded
Mestrado em Matemática Computacional (Mestrado)
Universidade do Minho Escola de Ciências, Portugal
"Métodos para Inclusão de Raízes Simples de uma equação Não Linear" (THESIS/DISSERTATION)
Muito Bom
1995
Concluded
Licenciatura em Matemática Aplicada - Ramo Ciência de Computadores (Licenciatura)
Universidade do Porto Faculdade de Ciências, Portugal
14
Affiliation

Teaching in Higher Education

Category
Host institution
Employer
2007/07/03 - Current Assistant Professor (University Teacher) Universidade do Minho, Portugal
1999/03/29 - 2007/07/02 Assistant (University Teacher) Universidade do Minho, Portugal
1996/01/09 - 1999/03/28 Trainee Assistant (University Teacher) Universidade do Minho, Portugal

Others

Category
Host institution
Employer
1996/01/09 - Current Membro do Centro de Matemática Universidade do Minho, Portugal
Projects

Grant

Designation Funders
2014/10/31 - 2015/01/30 DESENVOLVIMENTO DE MÉTODOS NUMÉRICOS PARA O CÁLCULO DE VALORES PRÓPRIOS DE MATRIZES ESTRUTURADAS
SFRH/BSAB/1410/2014
Fundação para a Ciência e a Tecnologia
Concluded

Contract

Designation Funders
2020/01/01 - 2023/12/31 Centro de Matemática da Universidade do Minho
UIDB/00013/2020
Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2020/01/01 - 2023/12/31 Centro de Matemática da Universidade do Minho
UIDP/00013/2020
Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
2011/01/01 - 2013/12/31 Projecto Estratégico - UI 13 - 2011-2012
PEst-C/MAT/UI0013/2011
Universidade do Minho, Portugal

Universidade do Minho Centro de Matemática, Portugal
Fundação para a Ciência e a Tecnologia
Concluded
Outputs

Publications

Book
  1. Ferreira, Carla. Ciência com Vistas - uma vis(i)ta multidisciplinar, guia de campo do Professor. Portugal. 2009.
Conference paper
  1. Moreira, Francisco; Fernandes, Sandra; Malheiro, Teresa; Ferreira, Carla; Costa, Nélson Bruno Martins Marques da; Rodrigues, Cristina Maria Santos. "Assessing student individual performance within PBL teams: findings from the implementation of a new mechanism". São Sebastião, 2015.
    Published
Journal article
  1. Zhongyun Liu; Xiaofei Xu; Yang Zhou; Carla Ferreira; yulin zhang. "On relaxed acceleration of the ADI iteration". Computational and Applied Mathematics (2023): http://dx.doi.org/10.1007/s40314-023-02558-6.
    10.1007/s40314-023-02558-6
  2. Charles Johnson; Yulin Zhang; Frank Qiu; Carla Ferreira. "Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices". Linear and Multilinear Algebra (2023): 1-10.
    Published • 10.1080/03081087.2023.2177581
  3. "On circulant and skew-circulant splitting algorithms for (continuous) Sylvester equations". Computers & Mathematics with Applications 109 (2022): 30-43. http://dx.doi.org/10.1016/j.camwa.2022.01.027.
    10.1016/j.camwa.2022.01.027
  4. Carla Ferreira; Beresford Parlett. "A real triple dqds algorithm for the nonsymmetric tridiagonal eigenvalue problem". Numerische Mathematik 150 2 (2022): 373-422. https://doi.org/10.1007%2Fs00211-021-01254-z.
    10.1007/s00211-021-01254-z
  5. Ferreira, Carla. "Eigenpairs of wilkinson matrices". SIAM Journal on Matrix Analysis and Applications 41 3 (2020): 1388-1415. http://www.scopus.com/inward/record.url?eid=2-s2.0-85094864323&partnerID=MN8TOARS.
    10.1137/20M1327343
  6. Ferreira, Carla. "Stationary splitting iterative methods for the matrix equation AXB=C". Applied Mathematics and Computation 378 (2020): 125195-125195. http://dx.doi.org/10.1016/j.amc.2020.125195.
    10.1016/j.amc.2020.125195
  7. Parlett, B.; Dopico, F.M.; Ferreira, C.. "The inverse eigenvector problem for real tridiagonal matrices". SIAM Journal on Matrix Analysis and Applications 37 2 (2016): 577-597. http://www.scopus.com/inward/record.url?eid=2-s2.0-84976892456&partnerID=MN8TOARS.
    10.1137/15M1025293
  8. Liu, Z.; Ralha, R.; Zhang, Y.; Ferreira, C.. "Minimization problems for certain structured matrices". Electronic Journal of Linear Algebra 30 (2015): 613-631. http://www.scopus.com/inward/record.url?eid=2-s2.0-84946555930&partnerID=MN8TOARS.
    10.13001/1081-3810.3144
  9. Ferreira, C.; Parlett, B.; Dopico, F.M.. "Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix". Numerische Mathematik 122 3 (2012): 527-555. http://www.scopus.com/inward/record.url?eid=2-s2.0-84867511181&partnerID=MN8TOARS.
    10.1007/s00211-012-0470-z
  10. Ferreira, Carla; Liu, Z.; Zhang, Y.; Ferreira, C.; Ralha, R.. "Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices". Electronic Journal of Linear Algebra 23 (2012): 845-865. http://www.ams.org/mathscinet/search/publdoc.html?pg1=INDI&s1=879403&vfpref=html&r=1&mx-pid=2992398.
    10.13001/1081-3810.1561
  11. Ferreira, Carla; Liu, Z.; Zhang, Y.; Ferreira, C.; Ralha, R.. "On inverse eigenvalue problems for block Toeplitz matrices with Toeplitz blocks". Applied Mathematics and Computation 216 6 (2010): 1819-1830. http://www.ams.org/mathscinet/search/publdoc.html?pg1=INDI&s1=879403&vfpref=html&r=3&mx-pid=2645315.
    10.1016/j.amc.2009.12.023
  12. Ferreira, C.; Parlett, B.. "Convergence of LR algorithm for a one-point spectrum tridiagonal matrix". Numerische Mathematik 113 3 (2009): 417-431. http://www.scopus.com/inward/record.url?eid=2-s2.0-71749111479&partnerID=MN8TOARS.
    10.1007/s00211-009-0238-2
Thesis / Dissertation
  1. Ferreira, Carla. "The unsymmetric tridiagonal eigenvalue problem". PhD, Universidade do Minho, 2007. https://hdl.handle.net/1822/6761.
  2. Ferreira, Carla. "Métodos para Inclusão de Raízes s Simples de uma Equação não linear". Master, Universidade do Minho, 1999. https://hdl.handle.net/1822/7924.
Working paper
  1. Ferreira, Carla. 2012. "Real dqds for the nonsymmetric tridiagonal eigenvalue problem". http://arxiv.org/abs/1201.5065v1.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2023/11/21 Orthogonal Zero Patterns Online seminar ''Special matrices and their applications (SMATA)''
2023/05/18 Computing the eigenstructure of unsymmetric tridiagonal matrices ALC Seminar
Centre of Mathematics, University of Minho (Braga)
2022/12/18 Inseparable Gershgorin discs and the existence of conjugate complex eigenvalues of real matrices ALC Meeting, December 18, 2022
Centre of Mathematics, University of Minho (Braga, Portugal)
2022/09/05 Circulant and skew-circulant splitting iteration for the Sylvester equation (poster communication) CNASC - Challenges in Numerical Analysis and Scientific Computing, September 5-6
Centre of Mathematics, University of Minho (Braga, Portugal)
2021/12/17 Eigenstructure of Wilkinson test matrices ALC Meeting, December 17 (hybrid format)
Centre of Mathematics, University of Minho (Braga, Portugal)
2019/06/25 Eigenpairs of Wilkinson Matrices 28th Biennial Numerical Analysis Conference, University of Strathclyde, Scotland, June 25-29, 2019
University of Strathclyde (Glasgow, United Kingdom)
2019/05/29 Wilkinson Test Matrices (poster communication) Advances in Numerical Linear Algebra: Celebrating the Centenary of the Birth of James H. Wilkinson, June 29-30, 2019
School of Mathematics, University of Manchester (Manchester, United Kingdom)
2017/07/13 The inverse eigenvector problem for real tridiagonal matrices Mathematics and Computing Science Seminar
School of Mathematics and Computing Science, Changsha University of Science and Technology (Changsha, China)
2015/03 Fiedler companion matrices Open Day of CMAT 2015
Centre of Mathematics, University of Minho (Braga, Portugal)
2014/10 Fiedler matrices and the LR method for the computation of roots of polynomials CMAT Seminar
Centre of Mathematics, University of Minho (Braga)
2014/06/30 The inverse complex eigenvector problem for real tridiagonal matrices First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Special session "Linear Algebra: Algorithms and Applications", June 30-July 4, 2014
Universidad del País Vasco (Bilbao, Spain)
2014/06/02 The Fiedler companion matrix and the LR transform International Workshop on Accurate Solutions of Eigenvalue Problems, June 2-5, 2014
University of Zagreb (Dubrovnik, Croatia)
2013/12/11 Why dqds for the tridiagonal nonsymmetric eigenproblem? (poster communication) Bay Area Scientific Computing Day 2013, December 11, 2013
Lawrence Berkeley National Laboratory (Berkeley, United States)
2012/06/18 Relative condition numbers for eigenvalues of an unsymmetric tridiagonal matrix SIAM Conference on Applied Linear Algebra, minisimposium ''Eigenvalue perturbations and pseudospectra'', June 18-22, 2012
UPV Universitat Politècnica de València (Valência, Spain)
2011/08/26 Sensitivity of eigenvalues of an unsymmetric tridiagonal matrix Pure and Applied Linear Algebra: The new Generation, 17th ILAS Conference, August 22-26, 2011
Technische Universität Braunschweig (Braunschweig, Germany)
2011/07 Structure-preserving Schur methods for computing square roots of real skew-Hamiltonian matrices CMAT Seminar
Centre of Mathematics, University of Minho (Braga, Portugal)
2009/10/27 Triple dqds algorithm: eigenvalues of real unsymmetric tridiagonals SIAM Conference on Applied Linear Algebra, minisimposium ''Numerical computation and localization of eigenvalues'', October 26-29, 2009
SIAM (Monterey Bay-Seaside, United States)
2009/07 Convergence of the LR method for unsymmetric tridiagonal matrices with only one Jordan block CMAT Seminar
Centre of Mathematics, University of Minho (Braga)
2009/06/25 Convergence of LR for one-point spectrum unsymmetric tridiagonal matrices 23rd Biennial Conference on Numerical Analysis, June 23-27, 2009
University of Strathclyde (Glasgow, United Kingdom)
2008/06/09 Triple dqds for real unsymmetric tridiagonal matrices 7th International Workshop on Accurate Solution of Eigenvalue Problems, June 9-12, 2008
University of Zagreb (Dubrovnik, Croatia)
2007/07 Triple dqds algorithm for the computation of eigenvalues of unsymmetric tridiagonal matrices CMAT Seminar
Centre of Mathematics, University of Minho (Braga)
2006/09 Triple dqds: complex eigenvalues of tridiagonals from real arithmetic Matrix Computations and Scientific Computing Seminar
Mathematics Department of the University of California, Berkeley (Berkeley, United States)

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2018/09 - 2019/10 Numerical solution of the Poisson equation
Co-supervisor of Osvaldo Pedro Candeia Jamba
Mestrado em Matemática e Computação (Master)
Universidade do Minho, Portugal
2016/09 - 2017/12 Automatização de testes para aplicações web
Co-supervisor of Raquel Sepúlveda da Costa
Mestrado em matemática e Computação (Master)
Universidade do Minho, Portugal

Event organisation

Event name
Type of event (Role)
Institution / Organization
2023/12/18 - 2023/12/18 ALC Meeting 2023 (2023/12/18 - 2023/12/18)
Meeting (Member of the Organising Committee)
Universidade do Minho Centro de Matemática, Portugal
2023/03/14 - 2023/03/15 CMAT - Labs Fest 2023 (2023/03/14 - 2023/03/15)
Meeting (Member of the Organising Committee)
Universidade do Minho Centro de Matemática, Portugal
2022/09/05 - 2022/09/06 CNASC - Challenges in Numerical Analysis and Scientific Computing, University of Minho, Braga (2022/09/05 - 2022/09/06)
Conference (Member of the Organising Committee)
Universidade do Minho Centro de Matemática, Portugal
2019/10/25 - 2019/10/25 CMAT Open Day 2019 (2019/10/25 - 2019/10/25)
Meeting (Member of the Organising Committee)
Universidade do Minho Centro de Matemática, Portugal