Fast Algorithms for Solving FLS R -Factor Block Circulant Linear Systems and Inverse Problem of A X = b
Author
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Block circulant and circulant matrices have already become an ideal research area for solving various differential equations.
In this paper, we give the definition and the basic properties of FLS R -factor block circulant (retrocirculant) matrix over field F .
Fast algorithms for solving systems of linear equations involving these matrices are presented by the fast algorithm for computing matrix polynomials.
The unique solution is obtained when such matrix over a field F is nonsingular.
Fast algorithms for solving the unique solution of the inverse problem of A X = b in the class of the level-2 FLS ( R , r ) -circulant(retrocirculant) matrix of type ( m , n ) over field F are given by the right largest common factor of the matrix polynomial.
Numerical examples show the effectiveness of the algorithms.
American Psychological Association (APA)
Jiang, Zhao-lin. 2014. Fast Algorithms for Solving FLS R -Factor Block Circulant Linear Systems and Inverse Problem of A X = b. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013730
Modern Language Association (MLA)
Jiang, Zhao-lin. Fast Algorithms for Solving FLS R -Factor Block Circulant Linear Systems and Inverse Problem of A X = b. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1013730
American Medical Association (AMA)
Jiang, Zhao-lin. Fast Algorithms for Solving FLS R -Factor Block Circulant Linear Systems and Inverse Problem of A X = b. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1013730
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013730