VanderLaan Circulant Type Matrices
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-01-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Circulant matrices have become a satisfactory tools in control methods for modern complex systems.
In the paper, VanderLaan circulant type matrices are presented, which include VanderLaan circulant, left circulant, and g-circulant matrices.
The nonsingularity of these special matrices is discussed by the surprising properties of VanderLaan numbers.
The exact determinants of VanderLaan circulant type matrices are given by structuring transformation matrices, determinants of well-known tridiagonal matrices, and tridiagonal-like matrices.
The explicit inverse matrices of these special matrices are obtained by structuring transformation matrices, inverses of known tridiagonal matrices, and quasi-tridiagonal matrices.
Three kinds of norms and lower bound for the spread of VanderLaan circulant and left circulant matrix are given separately.
And we gain the spectral norm of VanderLaan g-circulant matrix.
American Psychological Association (APA)
Pan, Hongyan& Jiang, Zhao-lin. 2015. VanderLaan Circulant Type Matrices. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1052017
Modern Language Association (MLA)
Pan, Hongyan& Jiang, Zhao-lin. VanderLaan Circulant Type Matrices. Abstract and Applied Analysis No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1052017
American Medical Association (AMA)
Pan, Hongyan& Jiang, Zhao-lin. VanderLaan Circulant Type Matrices. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1052017
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052017
