A predictor-corrector iterative method for solving linear least squares problems and perturbation error analysis

The motivation of the present work concerns two objectives. Firstly, a predictor-corrector iterative method of convergence order p = 45 requiring 10 matrix by matrix multiplications per iteration is proposed for computing the Moore–Penrose inverse of a nonzero matrix of rank = r . Convergence and a...

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Bibliographic Details
Published in:	Journal of inequalities and applications Vol. 2019; no. 1; pp. 1 - 14
Main Authors:	Buranay, Suzan C., Iyikal, Ovgu C.
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 20.07.2019 Springer Nature B.V SpringerOpen
Subjects:	Aircraft industry Algorithms Analysis Applications of Mathematics Convergence Error analysis Ill posed problems Image restoration Image restoration problem Iterative methods Least squares Linear least squares problems Mathematics Mathematics and Statistics Matrix algorithms Moore–Penrose inverse Perturbation error analysis Perturbation methods Predictor-corrector methods Recent Advances in General Inequalities on Pure & Applied Mathematics and Related Areas Perturbation error analysis Moore–Penrose inverse Image restoration problem 65F30 65F20 Linear least squares problems Matrix algorithms
ISSN:	1029-242X, 1025-5834, 1029-242X
Online Access:	Get full text
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