• 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

    • Sums of Squares of Polynomials with emphasis on Diagonal minus Tail Forms 2010
    • 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


  • PhD Defense
    Khadijeh Alibabaei - On the profinite topology on groups and tameness of pseudo-varieties of groups
    15h00m - Room FC1 029, Dep. Mathematics, Univ. Porto
    March 1, 2018
  • Research Seminar Program (RSP)
    2017/18 second session
    Room 2.5, DMat UC
    March 9, 2018
  • PhD Defense
    Muhammad Ali Khan - Statistical instability in chaotic dynamics
    Room 031, Dep. Mathematics, Univ. Porto
    March 9, 2018
  • PhD Defense
    Anderson Feitoza Leitão Maia - Sharp regularity for the inhomogeneous porous medium equation
    14:30 - Sala dos Capelos, Univ. Coimbra
    March 21, 2018
More Events

Defended Theses

  • Forward-backward stochastic differential equations and applications
      Rui Manuel Tavares Pinto de Sá Pereira (January 2018)
      Evelina Shamarova
      Margarida Brito
  • Pseudomonads and descent
      Fernando Lucatelli Nunes (January 2018)
      Maria Manuel Clementino
  • Descent theory of (T,V)-categories: global-descent and étale-descent
      Pier Giorgio Basile (September 2017)
      Maria Manuel Clementino
More Theses