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On New Version of Strong Hadamard Exponential Function

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Author(s): Haci Civciv | Ramazan Turkmen

Journal: Sel├žuk Journal of Applied Mathematics
ISSN 1302-7980

Volume: 9;
Issue: 1;
Start page: 11;
Date: 2008;
Original page

Keywords: Matrix Group | Hadamard Product | Matrix Functions.

ABSTRACT
It is well known that the matrix versions of the familiar real and complex exponential functions are fundamental for the study of many aspects of matrix theory and matrix group theory. In this note, we first define the strong Hadamard product and the strong Hadamard exponential function for some special block matrices, and obtain various calculus formulas for the strong Hadamard exponentials of some special block triangular matrices. We then give an application of this product for block-diagonal matrix with a special tridiagonal Cauchy-Toeplitz matrix.
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