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Block Recursive Matrix Inverse | | Iria C. S. Cosme
; Isaac F. Fernandes
; João L. de Carvalho
; Samuel Xavier-de-Souza
; | | Date: |
30 Nov 2016 | | Abstract: | The inversion of extremely high order matrices has been a challenging task
because of the limited processing and memory capacity of conventional
computers. In a scenario in which the data does not fit in memory, it is worth
to consider increasing iterations on the data, even if that increases
processing time in order to allow such computations to be completed. We propose
a algorithm to compute the inverse of block partitioned matrices as a new form
of decreasing the memory footprint. The proposed algorithm works recursively to
invert one block of a $k imes k$ block matrix $A$, with $k geq 2$, based on
the successive splitting of A. The algorithm compute one block of the inverse
at a time, in order to limit memory usage during the entire processing. | | Source: | arXiv, 1612.0001 | | Services: | Forum | Review | PDF | Favorites | |
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