摘要: |
利用牛顿法和不精确牛顿法构造了1维优化问题的混合算法,用该算法连续2代迭代只计算1次2阶导数值,在一合理的假设下证明了该算法具有Q-2阶敛速率。 |
关键词: 1维优化 精确牛顿法 Q-2阶收敛性 优化问题 |
DOI: |
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基金项目:国家自然科学基金 |
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A Hybrid Algorithm With Q-2 Order Convergence Rate for One Dimension Optimization Problems |
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Abstract: |
A hybrid algorithm exploiting Newton method and inexact Newton method for one dimension optimization problems is presented. The second derivative value is computed one time in two successive iterations. The Q-2 order convergence is proved under a reasonable assumption. |
Key words: 1-dimension optimization,inexact Newton method,Q-2 order convergence |