Calculating the Weighted Moore–Penrose Inverse by a High Order Iteration Scheme

Haifa Bin Jebreen
Additional contact information
Haifa Bin Jebreen: Mathematics Department, College of Science, King Saud University, Riyadh 11451, Saudi Arabia

Mathematics, 2019, vol. 7, issue 8, 1-11

Abstract: The goal of this research is to extend and investigate an improved approach for calculating the weighted Moore–Penrose (WMP) inverses of singular or rectangular matrices. The scheme is constructed based on a hyperpower method of order ten. It is shown that the improved scheme converges with this rate using only six matrix products per cycle. Several tests are conducted to reveal the applicability and efficiency of the discussed method, in contrast with its well-known competitors.

Keywords: iteration scheme; Moore–Penrose; rectangular matrices; rate of convergence; efficiency index (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/7/8/731/pdf (application/pdf)
https://www.mdpi.com/2227-7390/7/8/731/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:7:y:2019:i:8:p:731-:d:256636

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().