A Class of Weighted Low Rank Approximation of the Positive Semidefinite Hankel Matrix

Joint Authors

Bai, Jianchao
Cheng, Kexin
Zhang, Xuewei
Duan, Xue-Feng

Source

Journal of Applied Mathematics

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-03-19

Country of Publication

Egypt

No. of Pages

7

Main Subjects

Mathematics

Abstract EN

We consider the weighted low rank approximation of the positive semidefinite Hankel matrix problem arising in signal processing.

By using the Vandermonde representation, we firstly transform the problem into an unconstrained optimization problem and then use the nonlinear conjugate gradient algorithm with the Armijo line search to solve the equivalent unconstrained optimization problem.

Numerical examples illustrate that the new method is feasible and effective.

American Psychological Association (APA)

Bai, Jianchao& Duan, Xue-Feng& Cheng, Kexin& Zhang, Xuewei. 2015. A Class of Weighted Low Rank Approximation of the Positive Semidefinite Hankel Matrix. Journal of Applied Mathematics،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1067157

Modern Language Association (MLA)

Bai, Jianchao…[et al.]. A Class of Weighted Low Rank Approximation of the Positive Semidefinite Hankel Matrix. Journal of Applied Mathematics No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1067157

American Medical Association (AMA)

Bai, Jianchao& Duan, Xue-Feng& Cheng, Kexin& Zhang, Xuewei. A Class of Weighted Low Rank Approximation of the Positive Semidefinite Hankel Matrix. Journal of Applied Mathematics. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1067157

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1067157