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The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g -Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-17
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
Circulant matrices play an important role in solving delay differential equations.
In this paper, circulant type matrices including the circulant and left circulant and g -circulant matrices with any continuous Fibonacci and Lucas numbers are considered.
Firstly, the invertibility of the circulant matrix is discussed and the explicit determinant and the inverse matrices by constructing the transformation matrices are presented.
Furthermore, the invertibility of the left circulant and g -circulant matrices is also studied.
We obtain the explicit determinants and the inverse matrices of the left circulant and g -circulant matrices by utilizing the relationship between left circulant, g -circulant matrices and circulant matrix, respectively.
American Psychological Association (APA)
Jiang, Zhao-lin& Li, Dan. 2014. The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g -Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1034107
Modern Language Association (MLA)
Jiang, Zhao-lin& Li, Dan. The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g -Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers. Abstract and Applied Analysis No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-1034107
American Medical Association (AMA)
Jiang, Zhao-lin& Li, Dan. The Invertibility, Explicit Determinants, and Inverses of Circulant and Left Circulant and g -Circulant Matrices Involving Any Continuous Fibonacci and Lucas Numbers. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-1034107
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034107