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极小化非光滑拟凸函数的广义梯度方法
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作者 孙小玲 《运筹学杂志》 CSCD 1994年第1期71-73,共3页
关键词 非光滑最优化 拟凸函数 法向锥 广义梯度方法
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一类等式约束优化问题的改进牛顿算法
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作者 蔡春 《唐山师范学院学报》 2004年第2期20-25,60,共7页
提出了牛顿方法与预优广义共轭梯度方法相结合的方法(简称为Newton-PGCG)求解库恩-塔克方程组。给出Newton-PGCG算法中预优广义共轭梯度法中预优阵的选取问题及其步数参数的确定原则,并在保证牛顿方法恰二阶收敛的条件下,证明了此算法... 提出了牛顿方法与预优广义共轭梯度方法相结合的方法(简称为Newton-PGCG)求解库恩-塔克方程组。给出Newton-PGCG算法中预优广义共轭梯度法中预优阵的选取问题及其步数参数的确定原则,并在保证牛顿方法恰二阶收敛的条件下,证明了此算法也具有恰二阶收敛的优点。 展开更多
关键词 库恩-塔克方程组 局部算法 预优广义共轭梯度方法 恰二阶收敛 等式约束 牛顿算法 预优阵
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Electronic Structure and Optical Properties of Antimony-Doped SnO_2 from First-Principle Study 被引量:2
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作者 LU Peng-Fei SHEN Yue +5 位作者 YU Zhong-Yuan ZHAO Long LI Qiong-Yao MA Shi-Jia HAN Li-Hong LIU Yu-Min 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第1期145-150,共6页
A first-principles study has been performed to calculate the electronic and optical properties of the SbxSn1xO system.The simulations are based upon the method of generalized gradient approximations with the Perdew-Bu... A first-principles study has been performed to calculate the electronic and optical properties of the SbxSn1xO system.The simulations are based upon the method of generalized gradient approximations with the Perdew-Burke-Ernzerhof form in the framework of density functional theory.The supercell structure shows a trend from expanding to shrinking with the increasing Sb concentration.The increasing Sb concentration induces the band gap narrowing.Optical transition has shifted to the low energy range with increasing Sb concentration.Other important optical constants such as the dielectric function,reflectivity,refractive index,and electron energy loss function for Sb-doped SnO2 are discussed.The optical absorption edge of SnO2 doped with Sb also shows a redshift. 展开更多
关键词 first-principle methods Sb-doped SnO2 electronic structure optical properties
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