An efficient method for computing the inverse of arrowhead matrices |
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| Affiliation: | 1. Department of Applied Mathematics, Lahijan Branch, Islamic Azad University, P.O. Box 1616, Lahijan, Iran;2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 41335-1914, Rasht, Iran;3. Department of Electrical and Computer Engineering, School of Engineering, Democritus University of Thrace, University Campus, Kimmeria, GR 67100 Xanthi, Greece |
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| Abstract: | In this paper we propose a simple and effective method to find the inverse of arrowhead matrices which often appear in wide areas of applied science and engineering such as wireless communications systems, molecular physics, oscillators vibrationally coupled with Fermi liquid, and eigenvalue problems. A modified Sherman–Morrison inverse matrix method is proposed for computing the inverse of an arrowhead matrix. The effectiveness of the proposed method is illustrated and numerical results are presented along with comparative results. |
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| Keywords: | Arrowhead matrix Inverse matrix |
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