ON THE FUNCTION OF BLOCK ANTI DIAGONAL MATRICES AND ITS APPLICATION

International Journal of Mathematical Modelling & Computations

مقاله 1، دوره 6، 2 (SPRING)، خرداد 2016، صفحه 105-117   

نویسنده

A. Sadeghi

Department of Mathematics, Islamic Azad University, Robat Karim Branch, Tehran, Iran.

چکیده

The matrix functions appear in several applications in engineering and sciences. The computation of these functions almost involved complicated theory. Thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. The aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. Moreover, some theorems will be proven and applications will be given.

کلیدواژه‌ها

Matrix functions؛ Block anti diagonal matrix؛ Central symmetric X-form matrix؛ Matrix exponential؛ Matrix differential function

مراجع

B. N. Datta, Numerical Methods for Linear Control Systems. Elsevier Academic Press,(2004).

G. Golub, C.F. Van Loan, Matrix Computations, Johns Hopkins Univ. Press, Baltimore,MA, (1989).

N. J. Higham, Functions of Matrices: Theory and Computation. Society for Industrial and Applied Mathematics, Philadelphia (2008).

Roger A. Horn and Charles R. Johnson. Matrix Analysis. Cambridge University Press,xiii+561 pp. ISBN 0-521-30586-1, (1985).

A. M. Nazari, E. Afshari and A. Omidi Bidgoli, Properties of Central Symmetric X-Form Matrices, Iranian Journal of Mathematical Sciences and Informatics, 6(2), pp: 9-20, (2011).

A. Sadeghi, Some new formulas for the exponential of central symmetric X form matrices, To appear (2016)