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基于非光滑优化的投资组合问题
Portfolio selection problem based on nonsmooth optimization
【摘要】 采用HT∞(X)-风险函数衡量组合风险,建立新的双标准优化模型.该模型所反映的均衡关系,可作为投资者进行投资组合的依据.由于风险函数是不可微的,故传统的优化方法在此并不适用.利用非光滑优化方法可以很好地解决该问题并得出其有效前沿.
【Abstract】 The risk was weighted with a risk function called HT ∞(X),and the corresponding portfolio optimization model was further formulated as a new bi-criteria problem.Equilibrium relations reflected by the model can turn to be a base for investors’ making portfolio decision.The risk function is nondifferentiable,so the traditional optimization method cann’t be applied to.By nonsmooth optimization method the problem was solved and the efficient frontier of the problem was obtained.
【关键词】 有效前沿;
均衡关系;
非光滑优化;
次微分;
【Key words】 efficient frontier; equilibrium relations; nonsmooth optimization; subdifferential;
【Key words】 efficient frontier; equilibrium relations; nonsmooth optimization; subdifferential;
【基金】 国家自然科学基金资助项目(10671126);上海市重点学科建设资助项目(S30501);江西省教育厅科技研究资助项目(GJJ09257)
- 【文献出处】 上海理工大学学报 ,Journal of University of Shanghai for Science and Technology , 编辑部邮箱 ,2009年04期
- 【分类号】F830.59
- 【下载频次】119