Anew family of second-order iterative methods for computing the Moore-Penrose inverse based on Penrose equations

Abu Iram, Zainab; Zein, Ali

dc.contributor.author	Abu Iram, Zainab
dc.contributor.author	Zein, Ali
dc.date.accessioned	2023-05-28T09:30:39Z
dc.date.available	2023-05-28T09:30:39Z
dc.date.issued	2022-08-12
dc.identifier.issn	1314-8060
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/8868
dc.description.abstract	A new family of second-order iterative algorithms for computing the Moore-Penrose inverse is developed. The construction of this algorithm is based on the usage of Penrose Equations (1) and (2). Convergence properties are considered. Numerical results are also presented and a comparison with Newton’s method is made. It is observed that the new methods require less number of iterations than that of Newton’s method. In addition, numerical experiments show that these methods are more effective than Newton’s method when the number of columns increases than the number of rows	en_US
dc.language.iso	en	en_US
dc.publisher	International Journal of Applied Mathematics	en_US
dc.relation.ispartofseries	35;3
dc.subject	generalized inverse; Moore-Penrose inverse; iterative method; Penrose equations	en_US
dc.title	Anew family of second-order iterative methods for computing the Moore-Penrose inverse based on Penrose equations	en_US
dc.type	Article	en_US