Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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ON COMPUTATION OF MATRIX LOGARITHM

  • Sherif, Nagwa (Department of Mathematics, Suez Canal University) ;
  • Morsy, Ehab (Department of Mathematics, Faculty of Science)
  • 발행 : 2009.01.31
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초록

In this paper we will be interested in characterizing and computing matrices $X\;{\in}\;C^{n{\times}n}$ that satisfy $e^X$ = A, that is logarithms of A. The study in this work goes through two lines. The first is concerned with a theoretical study of the solution set, S(A), of $e^X$ = A. Along the second line computational approaches are considered to compute the principal logarithm of A, LogA.

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