• Alexander Kovacec

  • Research Area

    Interests in: Systems of polynomial equations, Polynomial Inequalities, Real Algebra, Matrix Theory,

  • Institution

    University of Coimbra

  • PhD

    Institution: University of Vienna, Austria
    Year: 1980

  • Main research publications

    • Young type inequalities and their Matrix Analogues (with Horst Alzer and Carlos Martins da Fonseca) , Linear and Multilinear Algebra (2014)
    • A bound for the largest eigenvalue of a symmetric nonnegative matrix with zero diagonal (with Jorma K. Merikoski) , The Natália Bebiano Birthday volume: Textos de Matemática, Volume 44 , DMUC (C. Fonseca, S. Furtado, A. Kovacec, C. K. Li, editors), 2013
      ISBN: 9789728564483
    • A note on extrema of linear combinations of elementary symmetric functions (with Salma Kuhlmann, Cordian Riener) , Linear and Multilinear Algebra 60 (2012)
    • Positive semidefinite diagonal minus tail forms are sums of squares (with Carla Fidalgo) , Mathematische Zeitschrift 269 (2011)
    • The Hankel pencil conjecture (with Maria Celeste Gouveia) , Linear Algebra Appl. 431 (2009)
  • PhD Students

    • Carla Florêncio Fidalgo Sums of Squares of Polynomials with emphasis on Diagonal minus Tail Forms 2010
    • Nuno Rodrigues co-supervision with Ana Cristina Almeida, ongoing
  • Adittional information

    Member of Projecto Delfos (school for young mathematicians/problem solving)

    Reviewer of Zentralblatt fuer Mathematik (since~1992;~80reviews)

    Spends also considerable energies for   refereeing of articles. 

Research and Events


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Defended Theses

  • Structure, algorithmics and dynamics of endomorphisms for certain classes of groups
      André da Cruz Carvalho (April 2023)
      Pedro V. Silva
  • A point-free study of z-embeddings, more general classes of localic maps, and uniform continuity
      Ana Belén Avilez García (April 2023)
      Jorge Picado
  • Analysis of equations of motion of inextensible strings and networks
      Ayk Telciyan (April 2023)
      Dmitry Vorotnikov
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