Unit:
Κατεύθυνση Θεωρητικά ΜαθηματικάLibrary of the School of Science
Supervisors info:
Ιωάννης Ντόκας, Επίκουρος Καθηγητής, Τμήμα Μαθηματικών, ΕΚΠΑ
Μαριλένα Μητρούλη, Καθηγήτρια, Τμήμα Μαθηματικών, ΕΚΠΑ
Ondřej Turek, Assistant Professor, Department of Mathematics, University of Ostrava
Original Title:
On the growth problem for Hadamard matrices
Translated title:
On the growth problem for Hadamard matrices
Summary:
In this master thesis, we present basic properties of Hadamard matrices, focusing on their growth factor.
The determination of the growth factor of a Hadamard matrix is still an open problem and a lot of investigation is ongoing. We study extensively the cases of Hadamard matrices of orders 12, 16 and 20 and to that end we examine their pivot patterns by employing useful formulae for minors and bounds for pivots.
Main subject category:
Science
Keywords:
Hadamard matrices, Gaussian elimination, pivoting, growth factor, minors
