
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

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

cosupervision 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.