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The spectral form of the Dai-Yuan conjugate gradient algorithm | ||
| IRAQI JOURNAL OF STATISTICAL SCIENCES | ||
| Article 30, Volume 11, Issue 2, 2011, Pages 214-221 PDF (0 K) | ||
| DOI: 10.33899/iqjoss.2011.027906 | ||
| Authors | ||
| Abdul-Ghafoor J. Salem; Khalil K. Abbo | ||
| Abstract | ||
| Conjugate Gradient (CG) methods comprise a class of unconstrained optimization algorithms which are characterized by low memory requirements and strong local and global convergence properties. Most of CG methods do not always generate a descent search directions, so the descent or sufficient descent condition is usually assumed in the analysis and implementations. By assuming a descent and pure conjugacy conditions a new version of spectral Dai-Yuan (DY) non-linear conjugate gradient method introduced in this article. Descent property for the suggested method is proved and numerical tests and comparisons with other methods for large-scale unconstrained problems are given. | ||
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