A generalization of the ABS algorithms and its application to some special real and integer matrix factorizations

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In 1984, Abaffy, Broyden, and Spediacto (ABS) introduced a class of the so-called ABS algorithms to solve systems of real linear equations. Later, the scaled ABS, the extended ABS, the block ABS, and the integer ABS algorithms were introduced leading to various well-known matrix factorizations. Here, we present a generalization of ABS algorithms containing all matrix factorizations such as triangular, W Z, and ZW . We discuss the octant interlocking factorization and make use of the generalized ABS algorithm as a more general approach for producing the octant interlocking factorization.
Language:
English
Published:
Iranian Journal of Numerical Analysis and Optimization, Volume:12 Issue: 2, Summer and Autumn 2022
Pages:
301 to 314
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