OALib Journal期刊
ISSN: 2333-9721
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求解非线性最小二乘问题的自适应锥模型信赖域算法(英文)
, PP. 13-21
Keywords: 非线性最小二乘问题,信赖域方法,锥模型,自适应,总体收敛性,超线性收敛性
Abstract:
针对非线性最小二乘问题,利用锥模型算法思想,给出了海赛矩阵中二阶信息项的割线近似的不同校正公式,并利用自适应信赖域技术给出了求解非线性最小二乘问题的自适应锥模型信赖域算法.算法中我们允许使用非精确方法近似求解信赖域子问题.文中给出了新算法的全局收敛性和超线性收敛性分析以及数值试验结果.
References
[1] | dennisje,gaydm,welschre.anadaptivenonlinearleast-squaresalgorithm[j].acmtransactionsonmathsoftware,1981(7):348-368.
|
[2] | dennisje,gaydm,welschre.algorithms573nl2sol-anadaptivenonlinearleastalgorithme4[j].acmtransactionsonmathsoftware,1981(7):369-383.
|
[3] | davidonwc.conicapproximationandcollinearscalingforoptimizers[j].siamjnumerana,1980(17):268-281.
|
[4] | hanqm,shengsb.conicmodelalgorithmsfornonlinearleast-squaresproblems[j].numericalmathematics,ajournalofchineseuniversities,1995(1):48-59.
|
[5] | yuany,sunw.optimizationtheoryandmethods[m].beijing:sciencepress,1997.
|
[6] | zhangxs,zhangjl,liaolz,eta.lanadaptivetrustregionmethodanditsconvergence[j].scienceinchina(seriesa),2002,45:620-631.
|
[7] | schnabelrb,eskowe.anewmodifiedcholeskyfactorization[j].siamjournalonscientificcomputing,1990(11):1136-1158.
|
[8] | moréjj,garbowbs,hillstromke.testingunconstrainedoptimizationsoftware[j].acmtransmathsoftware,1981,7(1):17-41.
|
[9] | steihaugt.theconjugategradientmethodandtrustregioninlargescaleoptimization[j].siamjnumerana,l1983(20):
|
[10] | 626-637.
|
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