Blockwise inversion and algorithms for inverting large partitioned matrices

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Publication date: 18 May 2023

Abstract: Using the blockwise matrix inversion, inversions of large matrices with different ways of memory handling are presented in this article. Algorithm for performing inversion of matrix which is partitioned into large number of blocks is presented in which inversions and multiplications involving the blocks can be carried out with parallel processing. Optimized memory handling and efficient methods for intermediate multiplications among the partitioned blocks are implemented in this algorithm.

Has companion code repository: https://github.com/rthirusenthil/invertor

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