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无约束优化问题新的谱共轭梯度法(英文)

A New Spectral Conjugate Gradient Algorithm for Unconstrained Optimization Problems
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摘要 通过结合牛顿法与PRP谱共轭梯度法提出一新的谱共轭梯度法.该方法为下降方法且为Birgin谱共轭梯度法与PRP共轭梯度法的线性组合.在适当的假设下算法全局收敛. A new spectral conjugate gradient method is proposed by combining Newton method and PRP spectral conjugate gradient method,which is a descent method.Furthermore,the new method is a combination of Birgin's spectral conjugate gradient method and PRP conjugate gradient method.The global convergence of the algorithm is proved under some assumptions.
作者 乌彩英 赵越
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第6期626-629,共4页 Journal of Inner Mongolia University:Natural Science Edition
基金 Supported by the Natural Science Foundation of Inner Mongolia Autonomous Region(2010BS0108) SPH-IMU(Z20090135)~~
关键词 谱共轭梯度法 无约束优化 全局收敛 Spectral conjugate gradient method unconstrained optimization global convergence
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参考文献7

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