\titleofpresentation{On the strong Hadamard exponential and logarithm
  functions} 
\presenter{Haci Civciv}

This is joint work with Ramazan T\"urkmen.
The strong Hadamard product is considered a powerful matrix multiplication
tool for Hadamard and other orthogonal matrices from combinatorial theory.
Also, it is well known that the matrix versions of the familiar real and
complex exponential and logarithm functions are fundamental for the study of
many aspects of matrix group theory. In this note, we first introduce the
strong Hadamard exponential and logarithm functions of some special
matrices, and then investigate some properties of these functions for these
matrices.


\begin{ourbiblio}{1}
\bibitem[1]{civciv1} J. W. Brewer, Kronecker products and matrix calculus in
system theory, IEEE Trans. on circuit and systems, 25, 772-781, 1978.

\bibitem[2]{civciv2} A. Baker, Matrix groups; An introduction to Lie group theory,
Springer-Verlag London Ltd., France, 2002.

\bibitem[3]{civciv3} A. K. Feyzioglu, A course on algebra, Bo\u{g}azi\c{c}i
University Publication, \.{I}stanbul, Turkey, 1990.

\bibitem[4]{civciv4} A. Graham, Kronecker products and matrix calculus with
applications, Ellis Horwood Ltd., Chichester, England, 1981.

\bibitem[5]{civciv5} R. A. Horn and C. R. Johnson, Topics in matrix analysis,
Cambridge University Press, 1991.

\bibitem[6]{civciv6} F. Zhang, Matrix Theory; Basic results and techniques,
Sipringer-Verlag, New York, 1999.

\bibitem[7]{civciv7} W. D. Launey and J. Seberry, The strong Kronecker product,
Journal of Combinatorial Theory, Series A, 66(2), 192-213, 1994.
\end{ourbiblio}

\presenteraddress{Department of Mathematics, Faculty of Art and Science,
Selcuk University, Konya, Turkey}

\email{hacicivciv@selcuk.edu.tr}
