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Accumulative Approach in Multistep Diagonal Gradient-Type Method for Large-Scale Unconstrained Optimization
Joint Authors
Farid, Mahboubeh
Zheng, Lihong
Leong, Wah June
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-07-10
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper focuses on developing diagonal gradient-type methods that employ accumulative approach in multistep diagonal updating to determine a better Hessian approximation in each step.
The interpolating curve is used to derive a generalization of the weak secant equation, which will carry the information of the local Hessian.
The new parameterization of the interpolating curve in variable space is obtained by utilizing accumulative approach via a norm weighting defined by two positive definite weighting matrices.
We also note that the storage needed for all computation of the proposed method is just O(n).
Numerical results show that the proposed algorithm is efficient and superior by comparison with some other gradient-type methods.
American Psychological Association (APA)
Farid, Mahboubeh& Leong, Wah June& Zheng, Lihong. 2012. Accumulative Approach in Multistep Diagonal Gradient-Type Method for Large-Scale Unconstrained Optimization. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1029035
Modern Language Association (MLA)
Farid, Mahboubeh…[et al.]. Accumulative Approach in Multistep Diagonal Gradient-Type Method for Large-Scale Unconstrained Optimization. Journal of Applied Mathematics No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-1029035
American Medical Association (AMA)
Farid, Mahboubeh& Leong, Wah June& Zheng, Lihong. Accumulative Approach in Multistep Diagonal Gradient-Type Method for Large-Scale Unconstrained Optimization. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-1029035
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029035