Two Modified Hager and Zhang's Conjugate Gradient Algorithms For Solving Large-Scale Optimization Problems
Journal Title: INTERNATIONAL JOURNAL OF COMPUTERS & TECHNOLOGY - Year 2013, Vol 11, Issue 5
Abstract
At present, the conjugate gradient (CG) method of Hager and Zhang (Hager and Zhang, SIAM Journal on Optimization, 16(2005)) is regarded as one of the most effective CG methods for optimization problems. In order to further study the CG method, we develop the Hager and Zhang's CG method and present two modified CG formulas, where the given formulas possess the value information of not only the gradient but also the function. Moreover, the sufficient descent condition will be holden without any line search. The global convergence is established for nonconvex function under suitable conditions. Numerical results show that the proposed methods are competitive to the normal conjugate gradient method.
Authors and Affiliations
Gonglin Yuan, Yong Li
Keywords
Related Articles
- EP ID EP650334
- DOI 10.24297/ijct.v11i5.1145
- Views 58
- Downloads 0
Security Defects in Biometric- based IdentificationSystemsand Mechanisms torectify them
Biometrics is one of the evolving technologies widely used in different aspects of life today. Theuse of biometrics for identification is a system mainly established to recognize a certain person through authentication b...
Analysis of Load Balancing Techniques in Cloud Computing
Cloud Computing is an emerging computing paradigm. It aims to share data, calculations, and service transparently over a scalable network of nodes. Since Cloud computing stores the data and disseminated resources in the...
Enhancing the Security of the GPT Cryptosystem Against Attacks
The concept of Public key cryptosystems based on error correcting codes was invented by McEliece in 1978. In 1991 Gabidulin, Paramonov and Tretjakov proposed a new mversion of the McEliece cryptosystem (GPT) based on max...
Calcination and alkali metal modification of alumina as solid stationary phase in GC
Alumina has unique textural properties and functionalized surface. The single or multi-treatments of alumina with calcination and alkali metal treatment (NaCl) are of prime one importance not only for determining the str...
Impact of on-the-job Training on Employee Performance (A Case Study of Microfinance Banks in District Khairpur)
The study was conducted to examine the impact of on-the- job training on employee performance by using a questionnaire for collecting responses from the sample to check the above relation through SPSS 16. Data reduction...