1. A Taylor expansion of the square root matrix function.
- Author
-
Del Moral, P. and Niclas, A.
- Subjects
- *
MATRIX functions , *SQUARE root , *TAYLOR'S series , *NUMERICAL analysis , *FUNCTIONAL analysis - Abstract
This short note provides an explicit description of the Fréchet derivatives of the principal square root matrix function at any order. We present an original formulation that allows to compute sequentially the Fréchet derivatives of the matrix square root at any order starting from the first order derivative. A Taylor expansion at any order with an integral remainder term is also provided, yielding the first result of this type for this class of matrix function. [ABSTRACT FROM AUTHOR]
- Published
- 2018
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