Fuping Tan, Antai Xie
Abstract
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In this paper, we define the logarithmic mean of two accretive matrices and study its basic properties. Among other results, we show that if A; B are accretive matrices, then RL(A,B) ? L(RA,RB), where L(A,B) is the logarithmic mean of A and B, and RA means the real part of A. This complements a recent result of Lin and Sun.
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In this paper, we define the logarithmic mean of two accretive matrices and study its basic properties. Among other results, we show that if A; B are accretive matrices, then RL(A,B) ? L(RA,RB), where L(A,B) is the logarithmic mean of A and B, and RA means the real part of A. This complements a recent result of Lin and Sun.
Key concepts: Mathematics, Logarithm, Logarithmic mean, Combinatorics, Geometric mean, Pure mathematics, Discrete mathematics, Statistics