An Explicit Formula for the Inverse of Arrowhead and Doubly Arrow Matrices

An Explicit Formula for the Inverse of Arrowhead and Doubly Arrow Matrices Najafi et al. (Appl Math Lett 33:1–5, 2014) have elaborated an approach to compute the inverse of arrowhead matrices. This paper concerns with offering an alternative simple and neat framework to obtain an explicit formula for the inverse of arrowhead matrices. More precisely, the adopted manner makes us capable to derive the inverse of block arrowhead matrices. In addition, we propound a strategy to reckon the inverse of doubly arrow matrices. Finally illustrative examples are examined which reveal the applicability and feasibly of the handled strategies. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Applied and Computational Mathematics Springer Journals

An Explicit Formula for the Inverse of Arrowhead and Doubly Arrow Matrices

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Publisher
Springer India
Copyright
Copyright © 2018 by Springer (India) Private Ltd., part of Springer Nature
Subject
Mathematics; Applications of Mathematics; Mathematical Modeling and Industrial Mathematics; Operations Research/Decision Theory; Theoretical, Mathematical and Computational Physics; Computational Science and Engineering; Nuclear Energy
ISSN
2349-5103
eISSN
2199-5796
D.O.I.
10.1007/s40819-018-0527-5
Publisher site
See Article on Publisher Site

Abstract

Najafi et al. (Appl Math Lett 33:1–5, 2014) have elaborated an approach to compute the inverse of arrowhead matrices. This paper concerns with offering an alternative simple and neat framework to obtain an explicit formula for the inverse of arrowhead matrices. More precisely, the adopted manner makes us capable to derive the inverse of block arrowhead matrices. In addition, we propound a strategy to reckon the inverse of doubly arrow matrices. Finally illustrative examples are examined which reveal the applicability and feasibly of the handled strategies.

Journal

International Journal of Applied and Computational MathematicsSpringer Journals

Published: May 30, 2018

References

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