A Gradient Based Iterative Solutions for Sylvester Tensor Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper is concerned with the numerical solution of the Sylvester tensor equation, which includes the Sylvester matrix equation as special case.
By applying hierarchical identification principle proposed by Ding and Chen, 2005, and by using tensor arithmetic concepts, an iterative algorithm and its modification are established to solve the Sylvester tensor equation.
Convergence analysis indicates that the iterative solutions always converge to the exact solution for arbitrary initial value.
Finally, some examples are provided to show that the proposed algorithms are effective.
American Psychological Association (APA)
Chen, Zhen& Lu, Linzhang. 2013. A Gradient Based Iterative Solutions for Sylvester Tensor Equations. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010839
Modern Language Association (MLA)
Chen, Zhen& Lu, Linzhang. A Gradient Based Iterative Solutions for Sylvester Tensor Equations. Mathematical Problems in Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-1010839
American Medical Association (AMA)
Chen, Zhen& Lu, Linzhang. A Gradient Based Iterative Solutions for Sylvester Tensor Equations. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-1010839
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1010839