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 ma...

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Published in:International journal of applied and computational mathematics 2018-06, Vol.4 (3), p.1-8, Article 96
Main Authors: Salkuyeh, Davod Khojasteh, Beik, Fatemeh Panjeh Ali
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
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description 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.
doi_str_mv 10.1007/s40819-018-0527-5
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subjects Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
title An Explicit Formula for the Inverse of Arrowhead and Doubly Arrow Matrices
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