Extension of commutator-calculus identities to non-symmetric matrices
Let ddd be a positive integer, let G∈Cd×d\mathbf{G}\in\mathbb{C}^{d\times d}G∈Cd×d, and let A∈Cd×d\mathbf{A}\in\mathbb{C}^{d\times d}A∈Cd×d be such that logA\log\mathbf{A}logA exists. Suppose Definition is…