A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F

Joint Authors

Liu, Zhibing
Xu, Chengfeng
Wang, Kanmin

Source

Journal of Applied Mathematics

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-02-27

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Mathematics

Abstract EN

In this paper, we develop a modified gradient based algorithm for solving matrix equations AXB+CXTD=F.

Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution.

Theoretical analysis shows that the new method converges under certain assumptions.

Numerical results are given to verify the efficiency of the new method.

American Psychological Association (APA)

Wang, Kanmin& Liu, Zhibing& Xu, Chengfeng. 2014. A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-511162

Modern Language Association (MLA)

Wang, Kanmin…[et al.]. A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F. Journal of Applied Mathematics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-511162

American Medical Association (AMA)

Wang, Kanmin& Liu, Zhibing& Xu, Chengfeng. A Modified Gradient Based Algorithm for Solving Matrix Equations AXB+CXTD=F. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-511162

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-511162