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Exponential Matrix and Their Properties

International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Volume 4, Issue 1, January 2016, PP 53-63 ISSN 2347-307X (Print) & ISSN 2347-3142 (Online) ARC Page | 53 Exponential Matrix and Their Properties Mohammed Abdullah Saleh Salman1,2 College of Education & languages, Department of Mathematics & Statistics, University of Amran. Amran, Yemen. Dr. Yeshwant Mahavidyalaya, Department of Mathematics & Statistics, Swami Ramanand Teerth Marthwada University, Nanded, India Abstract: The Matrix Exponential is a very important subclass of Matrix functions. In this paper, we discuss some of the more common Matrix Exponential and some methods for computing it.

Mohammed Abdullah Saleh Salman & Dr. V.C.Borkar International Journal of Scientific and Innovative Mathematical Research (IJSIMR) Page 54 Theorem (2.1) for more detail in [6]: The series (1) converges absolutely for all A M n. Furthermore, let be a normalized sub multiplicative norm on M n. Then e A e A (2)

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