An interval extension of SMS method for computing weighted Moore-Penrose inverse
type: Item
instance of: scholarly article
title: An interval extension of SMS method for computing weighted Moore-Penrose inverse
zbMATH Open document ID: 1397.65060
author: Falguni Roy
author: Predrag S. Stanimirović
author: D. K. Gupta
published in: Calcolo
publication date: 2018-07-24T00:00:00Z
review text: The paper is concerned with the Successive Matrix Squaring (SMS) algorithm for computing the weighted Moore-Penrose inverse \(A^{+}_{M N}\). For full rank \(m \times n\) matrices \(A\), and Hermitian positive definite \(M\) and \(N\) the authors construct an interval arithmetic extension of the SMS iteration. This extension generates a sequence of complex interval matrices, each of them containing \(A^{+}_{M N}\). The authors prove convergence of the new method and show by numerical experiments its better stability compared with the classical SMS algorithm.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65F20
Mathematics Subject Classification ID: 15A09
Mathematics Subject Classification ID: 65G30
zbMATH DE Number: 6909751
zbMATH Keywords: weighted Moore-Penrose inverse
zbMATH Keywords: successive matrix squaring method
zbMATH Keywords: interval arithmetic
zbMATH Keywords: interval iterative method
zbMATH Keywords: order of convergence
describes a project that uses: INTLAB
MaRDI profile type: Publication
full work available at URL: s10092-018-0257-4
OpenAlex ID: W2789417621
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DOI: 10.1007/S10092-018-0257-4
Wikidata QID: Q130120807
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description: scientific article; zbMATH DE number 6909751