A Review on Quadrant Interlocking Factorization: WZ and WH Factorization

Dlal Bashir; Hailiza Kamarulhaili; Olayiwola Babarinsa

doi:10.46481/jnsps.2023.1112

Authors

Dlal Bashir
[email protected]

School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang, Malaysia
Hailiza Kamarulhaili
School of Mathematical Sciences, Universiti Sains Malaysia, 11800 Pulau Pinang, Malaysia
Olayiwola Babarinsa
Department of Mathematics, Federal University Lokoja, Kogi State, Nigeria

Keywords:

Quadrant interlocking factorization,WZ factorization,WH factorization, LU factorization, Linear systems

Abstract

Quadrant Interlocking Factorization (QIF), an alternative to LU factorization, is suitable for factorizing invertible matrix A such that det(A) , 0. The QIF, with its application in parallel computing, is the most efficient matrix factorization technique yet underutilized. The two forms of QIF among others, which are not only similar in algorithm but also in computation, are WZ factorization and WH factorization yet differs in applications and properties. This review discusses both the old form of QIF, called WZ factorization, and the latest form of QIF, called WH factorization, with an example and open questions to further the studies between the two factorization techniques.

Dimensions

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