Classes of Abaffy-Broyden-Spedicato (ABS) methods have been introduced for solving linear systems of equations. The algorithms are powerful methods for developing matrix factorizations and many fundamental numerical linear algebra processes. Here, we show how to apply the ABS algorithms to devise algorithms to compute the WZ and ZW factorizations of a nonsingular matrix as well as the $W^TW$ and $Z^TZ$ factorizations of a symmetric positives definite matrix. We also describe the QZ and the QW factorizations, with Q orthogonal, and show how to appropriate the parameters of the ABS algorithms to compute these factorizations.
Golpar-Raboky, E., & Mahdavi-Amiri, N. (2014). WZ factorization via Aba y-Broyden-Spedicato algorithms. Bulletin of the Iranian Mathematical Society, 40(2), 399-411.
MLA
Golpar-Raboky, E., & Mahdavi-Amiri, N. "WZ factorization via Aba y-Broyden-Spedicato algorithms", Bulletin of the Iranian Mathematical Society, 40, 2, 2014, 399-411.
HARVARD
Golpar-Raboky E., Mahdavi-Amiri N. (2014). 'WZ factorization via Aba y-Broyden-Spedicato algorithms', Bulletin of the Iranian Mathematical Society, 40(2), pp. 399-411.
CHICAGO
E. Golpar-Raboky & N. Mahdavi-Amiri, "WZ factorization via Aba y-Broyden-Spedicato algorithms," Bulletin of the Iranian Mathematical Society, 40 2 (2014): 399-411,
VANCOUVER
Golpar-Raboky E., Mahdavi-Amiri N. WZ factorization via Aba y-Broyden-Spedicato algorithms. BIMS. 2014;40(2):399-411.
