On a Zero-Finding Problem Involving the Matrix Exponential
نویسندگان
چکیده
منابع مشابه
On a Zero-Finding Problem Involving the Matrix Exponential
An important step in the solution of a matrix nearness problem that arises in certain machine learning 3 applications is finding the zero of f(α) = z exp(logX + αzz )z − b. The matrix valued exponential and logarithm 4 in f(α) arises from the use of the von Neumann matrix divergence tr(X logX − X log Y − X + Y ) to measure the 5 nearness between the positive definite matrices X and Y . A key st...
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ژورنال
عنوان ژورنال: SIAM Journal on Matrix Analysis and Applications
سال: 2012
ISSN: 0895-4798,1095-7162
DOI: 10.1137/11082498x