A SELF-ADAPTIVE ALGORITHM FOR NONLINEAR LEAST SQUARES WITH LINEAR CONSTRAINTS-中国期刊网

摘要 Analgorithmforsolvingnonlinearleastsquaresproblemswithgenerallinearinequalityconstraintsisdescribed.Ateachstep,theproblemisreducedtoanunconstrainedlinearleastsquaresprobleminasubspacedefinedbytheactiveconstraints,whichissolvedusingthequasi-Newtonmethod.ThemajorupdateformulaissimilartotheonegivenbyDennis,GayandWelsch(1981).Inthispaper,westatethedetailedimplementofthealgorithm,suchasthechoiceofactiveset,thesolutionofsubproblemandtheavoidanceofzigzagging.Wealsoprovethegloballyconvergentpropertyofthealgorithm.

1Kezong TANG;Jingyu YANG;Shang GAO;Tingkai SUN. A self-adaptive linear evolutionary algorithm for solving constrained optimization problems.控制理论与控制工程,2010-04.
2. SUBCONVERGENCE OF FINITE ELEMENTS AND A SELF-ADAPTIVE ALGORITHM.计算数学,1996-04.
3Zhao, JX. A COLUMN RECURRENCE ALGORITHM FOR SOLVING LINEAR LEAST SQUARES PROBLEM.计算数学,1996-04.
4王丽平. A SELF-ADAPTIVE TECHNIQUE FOR A KIND OF NONLINEAR CONJUGATE GRADIENT METHODS.基础数学,2004-02.
5Pei Wang;Gerhard Reinelt;Yuejin Tan. Self-adaptive large neighborhood search algorithm for parallel machine scheduling problems.物理电子学,2012-02.
6Xu Zhaotao Wang Huazhong. A self-adaptive algorithm for choosing reference velocities in the presence of lateral velocity variations.地球物理学,2006-04.
7杨海天;刘岩;邬瑞锋. SOLVING 2-D NONLINEAR COUPLED HEAT AND MOISTURE TRANSFER PROBLEMS VIA A SELF-ADAPTIVE PRECISE ALGORITHM IN TIME DOMAIN.力学,2005-07.
8ZHU Jin-jun;ZHANG Xiao-guang;DUAN Gao-yan;WANG Qiu-guo. PSO-based Control Algorithm for Polarization Mode Dispersion Self-adaptive Compensation.物理电子学,2006-04.
9Zhongyi Liu;Linping Sun. A Hybrid Method for Nonlinear Least Squares Problems.基础数学,2007-01.
10王国荣. PCR ALGORITHM FOR PARALLEL COMPUTING MINIMUM-NORM LEAST-SQUARES SOLUTION OF INCONSISTENT LINEAR EQUATIONS.基础数学,1993-01.

A SELF-ADAPTIVE ALGORITHM FOR NONLINEAR LEAST SQUARES WITH LINEAR CONSTRAINTS

来源期刊

相关推荐

同分类资源更多

相关关键词

A SELF-ADAPTIVE ALGORITHM FOR NONLINEAR LEAST SQUARES WITH LINEAR CONSTRAINTS

来源期刊

相关推荐

同分类资源 更多

相关关键词

同分类资源更多