2. Methods for calculating f (A)
There are many methods for calculating matrix functions. Some are general, others are designed for specific functions. The most general methods use approximations of the function f and/or factorizations of the matrix A.
Note that a matrix function of a real matrix is not always real. However, if possible, we want to avoid using complex arithmetic if A is real.
Most of the algorithms described below are designed to achieve high accuracy at the lowest possible cost.
2.1 Approximation methods
If we know a Taylor expansion of f in the vicinity of a,
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Methods for calculating f (A)
Methods for f (A)v
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