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Journal of Advances in Mathematics and Computer Science, ISSN: 2456-9968, ISSN: 2231-0851 (Past),Vol.: 30, Issue.: 1


Compounding Commuting Matrices


Ronald P. Nordgren1*
1Brown School of Engineering, Rice University, USA.

Article Information
(1) Dr. Zhenkun Huang, Professor, School of Science, Jimei University, China.
(1) Abdullah Sonmezoglu, Bozok University, Turkey.
(2) Grienggrai Rajchakit, Maejo University, Thailand.
(3) Halil Grgn, Dicle University, Turkey.
Complete Peer review History: http://www.sciencedomain.org/review-history/27948


We formulate a method of constructing families of commuting matrices of increasing order by sequential compounding. Formulas are derived for sequentially constructing their Jordan forms and singular-value decompositions. Examples are given to illustrate our methods including construction of commuting Latin squares.

Keywords :

Commuting matrices; matrix compounding; Circulant Matrices; Latin squares; Jordan Form; SVD.

Full Article - PDF    Page 1-8

DOI : 10.9734/JAMCS/2019/45969

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