Hybrid Modification of Accelerated Double Direction Method

Petrovic Milena J.; Stanimirovic Predrag S.; Kontrec Natasa; Mladenovic Julija

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Hybrid Modification of Accelerated Double Direction Method

机译：加速双向方法的混合修改

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We present a hybridization of the accelerated gradient method with two vector directions. This hybridization is based on the usage of a chosen three-term hybrid model. Derived hybrid accelerated double direction model keeps preferable properties of both included methods. Convergence analysis demonstrates at least linear convergence of the proposed iterative scheme on the set of uniformly convex and strictly convex quadratic functions. The results of numerical experiments confirm better performance profile in favor of derived hybrid accelerated double direction model when compared to its forerunners.

机译：我们提出了具有两个向量方向的加速梯度方法的混合。此杂交基于所选三项杂交模型的使用。派生的混合加速双向模型保留了所包含的两种方法的较佳属性。收敛分析表明，在一致的凸函数和严格凸的二次函数集上，所提出的迭代方案至少具有线性收敛性。数值实验的结果证实，与先驱相比，其派生的混合加速双向模型具有更好的性能。

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《Mathematical Problems in Engineering》 |2018年第15期|1523267.1-1523267.8|共8页
作者
Petrovic Milena J.; Stanimirovic Predrag S.; Kontrec Natasa; Mladenovic Julija;
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Univ Pristina Fac Sci Lole Ribara 29 Kosovska Mitrovica 28000 Serbia;

Univ Nis Fac Sci & Math Visegradska 33 Nish 18000 Serbia;

Politehnika Belgrade Sch New Technol Autoput 18 Belgrade 11000 Serbia;

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1. Hybrid Modification of Accelerated Double Direction Method [J] . Milena J. Petrovi, Predrag S. Stanimirovi, Nataa Kontrec, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第4期

机译：加速双向方法的混合修改
2. Hybrid Modification of Accelerated Double Direction Method [J] . Milena J. Petrovi, Predrag S. Stanimirovi, Nataa Kontrec, Mathematical Problems in Engineering: Theory, Methods and Applications . 2018,第4期

机译：加速双向方法的混合修改
3. Accelerated Double Direction Method for Solving Unconstrained Optimization Problems [J] . Milena J.Petrovi?, Predrag S.Stanimirovi? Mathematical Problems in Engineering: Theory, Methods and Applications . 2014,第1期

机译：解决无约束优化问题的加速双向方法
4. Accelerating Direction-Optimized Breadth First Search on Hybrid Architectures [C] . Scott Sallinen, Abdullah Gharaibeh, Matei Ripeanu Workshop on big data management in clouds;Euro-Par 2015 International workshops;Workshop on parallel and distributed computing education for undergraduate students;Workshop on algorithms, models, and tools for parallel computing on heterogeneous platforms;Workshop on large-scale distributed virtual environments;Workshop on on-chip memory hierarchies and interconnects: organization, management and implementation;Workshop on parallel distributed agent-based simulations;Workshop on performance engineering for large-scale graph analytics;Workshop on reproducibility in parallel computing;Workshop on resiliency in high-performance computing with clouds, grids, and clusters;Workshop on runtime and operating systems for the many-core era;Workshop on unconventional high performance computing;Workshop on virtualization in high-performance cloud computing . 2015

机译：在混合架构上加快方向优化的广度优先搜索
5. Structural direction of hybrid organic-inorganic materials: Synthesis of vanadium oxyfluoride, copper vanadate, and copper molybdate solid state materials through solvuthermal and solution methods [D] . DeBurgomaster, Paul 2009

机译：有机-无机杂化材料的结构方向：溶剂热和溶液法合成氟氧化钒，钒酸铜和钼酸铜固态材料
6. Accelerated nuclei preparation and methods for analysis of histone modifications in yeast. [O] . Kelby O. Kizer, Tiaojiang Xiao, Brian D. Strahl -1

机译：加速的细胞核制备和分析酵母中组蛋白修饰的方法。
7. Hybrid Modification of Accelerated Double Direction Method [O] . Milena J. Petrović, Predrag S. Stanimirović, Nataša Kontrec, 2018

机译：加速双向法的混合改性
8. Accelerated Conjugate Direction Methods for Unconstrained Optimization. [R] . Lenard, M. L. 1976

机译：无约束优化的加速共轭方向法。

Hybrid Modification of Accelerated Double Direction Method

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