A New BFGS Algorithm Using the Decomposition Matrix of the Correction Matrix to Obtain the Search Directions

Author

Liu, Li

Source

Journal of Control Science and Engineering

Issue

Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2015-01-31

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Electronic engineering
Information Technology and Computer Science

Abstract EN

We present an improved method for determining the search direction in the BFGS algorithm.

Our approach uses the equal inner product decomposition method for positive-definite matrices.

The decomposition of an approximated Hessian matrix expresses a correction formula that is independent from the exact line search.

This decomposed matrix is used to compute the search direction in a new BFGS algorithm.

American Psychological Association (APA)

Liu, Li. 2015. A New BFGS Algorithm Using the Decomposition Matrix of the Correction Matrix to Obtain the Search Directions. Journal of Control Science and Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067793

Modern Language Association (MLA)

Liu, Li. A New BFGS Algorithm Using the Decomposition Matrix of the Correction Matrix to Obtain the Search Directions. Journal of Control Science and Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1067793

American Medical Association (AMA)

Liu, Li. A New BFGS Algorithm Using the Decomposition Matrix of the Correction Matrix to Obtain the Search Directions. Journal of Control Science and Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1067793

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1067793