Faculty

• Alexander Kovacec

  kovacec@mat.uc.pt

• 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