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https://hdl.handle.net/20.500.11851/2939| Title: | A Proof of Clarke's Conjecture | Authors: | Kılıç, Emrah Arıkan, Talha |
Keywords: | LULU-decomposition inverse matrix Lehmer matrix min and max matrices |
Publisher: | Cambridge University Press | Source: | Kiliç, E., & Arikan, T. (2019). 103.26 A proof of Clarke’s conjecture. The Mathematical Gazette, 103(557), 346-352. | Abstract: | We consider new kinds of max and min matrices, [amax(i,j)]i,j?1 and [amin(i,j)]i,j?1, as generalizations of the classical max and min matrices. Moreover, their reciprocal analogues for a given sequence {an} have been studied. We derive their LU and Cholesky decompositions and their inverse matrices as well as the LU -decompositions of their inverses. Some interesting corollaries will be presented. | URI: | https://hdl.handle.net/20.500.11851/2939 https://doi.org/10.1017/mag.2019.73 |
ISSN: | 0025-5572 |
| Appears in Collections: | Matematik Bölümü / Department of Mathematics WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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