Matrix functions
A matrix function is a function that maps a square matrix to another square matrix via a power series. These should not be confused with vectorization: the application of any given function of one variable to each element of a matrix. For example, it is not the same to compute the square of a square matrix, A.dot(A)
(for example, In [8]
), than a matrix with all the elements of A
squared (examples In [5]
through In []
).
Note
To make the proper distinction in notation, we will write A^2
to denote the actual square of a square matrix and A^n
to represent the subsequent powers (for all positive integers n).
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Extension of a scalar-valued function called |
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