[ https://issues.apache.org/jira/browse/MATH435?page=com.atlassian.jira.plugin.system.issuetabpanels:alltabpanel
]
Mikkel Meyer Andersen reopened MATH435:

FieldMatrix also has to have the (duplicate) power functionality.
> Efficient matrix power
> 
>
> Key: MATH435
> URL: https://issues.apache.org/jira/browse/MATH435
> Project: Commons Math
> Issue Type: Improvement
> Reporter: Mikkel Meyer Andersen
> Assignee: Mikkel Meyer Andersen
> Fix For: 3.0
>
> Attachments: MATH435patch1
>
> Original Estimate: 4m
> Remaining Estimate: 4m
>
> For symmetric matrices A it is easy to find A^n also for large n by making an eigenvalue/vector
decomposition.
> In general, if the structure of the matrix is not know and the n'th power is needed,
A*A*...*A is way too inefficient. By using a binary representation and powers of 2, powers
can be found far faster similar to finding 5^14 as 5^14 = 5^8 * 5^4 = ((5^2)^2)^2 * (5^2)^2
= x3 * x2 where x1 = 5^2, x2 = x1^2, and x3 = x2^2, thus saving a lot of computations.

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