We know square root of a matrix, but in general what is the fractional and non-integral power of a non zero matrix ?
Amir Sadeghi
Dear Baliarsingh
Yes, there are several approaches to the computation of matrix pth root.
1. Schur decomposition based methods, like the following work:
A Schur Algorithm for Computing Matrix pth Roots
2. Iterative methods, like:
On the Newton Method for the Matrix Pth Root
3. Series based methods. like:
Computing the pth Roots of a Matrix with Repeated Eigenvalues
Best regards
Dr. Sadeghi
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