On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-05
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Circulant matrices have important applications in solving various differential equations.
The level-k scaled factor circulant matrix over any field is introduced.
Algorithms for finding the minimal polynomial of this kind of matrices over any field are presented by means of the algorithm for the Gröbner basis of the ideal in the polynomial ring.
And two algorithms for finding the inverses of such matrices are also presented.
Finally, an algorithm for computing the inverse of partitioned matrix with level-k scaled factor circulant matrix blocks over any field is given by using the Schur complement, which can be realized by CoCoA 4.0, an algebraic system, over the field of rational numbers or the field of residue classes of modulo prime number.
American Psychological Association (APA)
Jiang, Zhao-lin. 2014. On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014159
Modern Language Association (MLA)
Jiang, Zhao-lin. On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices. Abstract and Applied Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1014159
American Medical Association (AMA)
Jiang, Zhao-lin. On the Minimal Polynomials and the Inverses of Multilevel Scaled Factor Circulant Matrices. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1014159
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014159