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Logarithm of a matrix
・ Logarithmic
・ Logarithmic conformal field theory
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Logarithm of a matrix : ウィキペディア英語版
Logarithm of a matrix
In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus a generalization of the scalar logarithm and in some sense an inverse function of the matrix exponential. Not all matrices have a logarithm and those matrices that do have a logarithm may have more than one logarithm. The study of logarithms of matrices leads to Lie theory since when a matrix has a logarithm then it is in a Lie group and the logarithm is the corresponding element of the Lie algebra.
==Definition==

A matrix ''B'' is a logarithm of a given matrix ''A'' if the matrix exponential of ''B'' is ''A'':
: e^B = A. \,

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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