The Chain Rule for Matrix Exponential Functions
نویسندگان
چکیده
منابع مشابه
A Chain Rule for Matrix Functions and Applications
Let f be a not necessarily analytic function and let A(t) be a family of n n matrices depending on the parameter t. Conditions for the existence of the rst and higher derivatives of f(A(t)) are presented together with formulae that represent these derivatives as a submatrix of f(B) where B is a larger block Toeplitz matrix. This block matrix representation of the rst derivative is shown to be u...
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ژورنال
عنوان ژورنال: The College Mathematics Journal
سال: 2004
ISSN: 0746-8342
DOI: 10.2307/4146900