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Higher Order Logarithmic Derivatives of Matrices

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Let A be an n × n complex matrix and ||A| | its norm as a linear operator on the Euclidean space C n; i.e., (1) ||A| | = sup {||Ax||2: x ∈ C n, ||x||2 = 1}, where ||x||2

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Let A be an n × n complex matrix and ||A| | its norm as a linear operator on the Euclidean space C n; i.e., (1) ||A| | = sup {||Ax||2: x ∈ C n, ||x||2 = 1}, where ||x||2

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