On the WZ Factorization of the Real and Integer Matrices

Author(s):

E. Golpar-Raboky* , E. Babolian

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

The textit{QIF}  (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ}  factorization. The  WZ factorization can be faster than the textit{LU} factorization  because,  it performs the simultaneous evaluation of two columns or two rows. Here, we present a  method for computing the real and integer textit{WZ} and  textit{ZW} factorizations by using the null space generators of some special nested submatrices of a matrix textit{A}.

Keywords:

Linear systems , Quadrant interlocking factorization , WZ factorization , ZW factorization , Null space generator

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:17 Issue: 1, May 2022
Pages:
71 to 83
https://www.magiran.com/p2420890