Add matrix.power to compute e.g. A @ A @ A @ ...#483
Merged
eriknw merged 8 commits intopython-graphblas:mainfrom Jul 26, 2023
Merged
Add matrix.power to compute e.g. A @ A @ A @ ...#483eriknw merged 8 commits intopython-graphblas:mainfrom
matrix.power to compute e.g. A @ A @ A @ ...#483eriknw merged 8 commits intopython-graphblas:mainfrom
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jim22k
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Jul 26, 2023
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This uses #481 (and is actually why I made #481).
I still need to write the docstring.
I tried to make this efficient by performing repeated squaring. For example, for
A.power(8), this will compute:This makes the implementation a little... uh... not obvious, but it works well.
A.power(n)returns an expression so mask can be applied. Even if a mask is used, an intermediate resultA.power(n // 2)can still be pretty large--we only apply the mask on the very last matrix multiply.I decided to require
nto be a positive integer.n == 0could return "the" identity, but what would be the identity for different semirings?This method will let us easily and efficiently implement
number_of_walksingraphblas_algorithms.