Unconstrained Minimization; Line Search Method; Global Convergence; Convergence Rate - Articles

Several New Line Search Methods and Their Convergence (Articles)

Zhenjun Shi, Kimberly Kendricks, Zhiwei Xu, Yongning Tang

American Journal of Operations Research Vol.3 No.5, September 18, 2013

DOI: 10.4236/ajor.2013.35040 4,446 Downloads 7,405 Views Citations
Global Convergence of Curve Search Methods for Unconstrained Optimization (Articles)

Zhiwei Xu, Yongning Tang, Zhen-Jun Shi

Applied Mathematics Vol.7 No.7, April 28, 2016

DOI: 10.4236/am.2016.77066 1,912 Downloads 3,017 Views Citations
A hybrid conjugate gradient method for optimization problems (Articles)

Xiangrong Li, Xupei Zhao

Natural Science Vol.3 No.1, January 29, 2011

DOI: 10.4236/ns.2011.31012 6,658 Downloads 15,422 Views Citations
Global Convergence of an Extended Descent Algorithm without Line Search for Unconstrained Optimization (Articles)

Cuiling Chen, Liling Luo, Caihong Han, Yu Chen

Journal of Applied Mathematics and Physics Vol.6 No.1, January 16, 2018

DOI: 10.4236/jamp.2018.61013 1,029 Downloads 2,217 Views Citations
A Line Search Algorithm for Unconstrained Optimization (Articles)

Gonglin Yuan, Sha Lu, Zengxin Wei

Journal of Software Engineering and Applications Vol.3 No.5, May 24, 2010

DOI: 10.4236/jsea.2010.35057 7,959 Downloads 15,302 Views Citations
Modified LS Method for Unconstrained Optimization (Articles)

Jinkui Liu, Li Zheng

Applied Mathematics Vol.2 No.6, June 22, 2011

DOI: 10.4236/am.2011.26104 5,159 Downloads 9,502 Views Citations
A Non-Monotone Trust Region Method with Non-Monotone Wolfe-Type Line Search Strategy for Unconstrained Optimization (Articles)

Changyuan Li, Qinghua Zhou, Xiao Wu

Journal of Applied Mathematics and Physics Vol.3 No.6, June 30, 2015

DOI: 10.4236/jamp.2015.36084 3,030 Downloads 4,237 Views Citations
A Look at the Tool of BYRD and NOCEDAL (Articles)

Linghua Huang, Guoyin Li, Gonglin Yuan

American Journal of Computational Mathematics Vol.1 No.4, December 9, 2011

DOI: 10.4236/ajcm.2011.14028 4,527 Downloads 8,496 Views Citations
A Nonmonotone Line Search Method for Symmetric Nonlinear Equations (Articles)

Gonglin Yuan, Laisheng Yu

Intelligent Control and Automation Vol.1 No.1, August 27, 2010

DOI: 10.4236/ica.2010.11004 5,255 Downloads 8,037 Views Citations
A New Nonmonotone Adaptive Trust Region Method (Articles)

Yang Zhang, Quanming Ji, Qinghua Zhou

Journal of Applied Mathematics and Physics Vol.9 No.12, December 23, 2021

DOI: 10.4236/jamp.2021.912202 402 Downloads 1,553 Views Citations
On the Global Convergence of the PERRY-SHANNO Method for Nonconvex Unconstrained Optimization Problems (Articles)

Linghua Huang, Qingjun Wu, Gonglin Yuan

Applied Mathematics Vol.2 No.3, March 24, 2011

DOI: 10.4236/am.2011.23037 4,675 Downloads 8,832 Views Citations
Three New Hybrid Conjugate Gradient Methods for Optimization (Articles)

Anwa Zhou, Zhibin Zhu, Hao Fan, Qian Qing

Applied Mathematics Vol.2 No.3, March 24, 2011

DOI: 10.4236/am.2011.23035 6,763 Downloads 14,312 Views Citations
A Novel Cuckoo Search Algorithm and Its Application (Articles)

Ping Liu, Shengjiang Zhang

Open Journal of Applied Sciences Vol.11 No.9, September 30, 2021

DOI: 10.4236/ojapps.2021.119079 372 Downloads 1,589 Views Citations
New Variants of Newton’s Method for Nonlinear Unconstrained Optimization Problems (Articles)

V. KANWAR, Kapil K. SHARMA, Ramandeep BEHL

Intelligent Information Management Vol.2 No.1, January 27, 2010

DOI: 10.4236/iim.2010.21005 6,055 Downloads 11,366 Views Citations
Higher Order Iteration Schemes for Unconstrained Optimization (Articles)

Yangyang Shi, Pingqi Pan

American Journal of Operations Research Vol.1 No.3, September 30, 2011

DOI: 10.4236/ajor.2011.13011 6,596 Downloads 11,379 Views Citations
A Modified Limited SQP Method For Constrained Optimization (Articles)

Gonglin Yuan, Sha Lu, Zhengxin Wei

Applied Mathematics Vol.1 No.1, June 2, 2010

DOI: 10.4236/am.2010.11002 5,891 Downloads 11,288 Views Citations
A Nonmonotone Line Search Method for Regression Analysis (Articles)

Gonglin Yuan, Zengxin Wei

Journal of Service Science and Management Vol.2 No.1, March 21, 2009

DOI: 10.4236/jssm.2009.21005 5,381 Downloads 10,377 Views Citations
Convergence Analysis of a Kind of Deterministic Discrete-Time PCA Algorithm (Articles)

Ze Zhu, Wanzhou Ye, Haijun Kuang

Advances in Pure Mathematics Vol.11 No.5, May 24, 2021

DOI: 10.4236/apm.2021.115028 336 Downloads 1,180 Views Citations
This article belongs to the Special Issue on Mathematical Algorithms and Applications
PRP-Type Direct Search Methods for Unconstrained Optimization (Articles)

Qunfeng Liu, Wanyou Cheng

Applied Mathematics Vol.2 No.6, June 22, 2011

DOI: 10.4236/am.2011.26096 7,215 Downloads 12,557 Views Citations
An Improved Line Search and Trust Region Algorithm (Articles)

Qinghua Zhou, Yarui Zhang, Xiaoli Zhang

Journal of Software Engineering and Applications Vol.6 No.5B, October 12, 2013

DOI: 10.4236/jsea.2013.65B010 4,246 Downloads 6,509 Views Citations

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