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参数二次规划解的分歧问题

THE BIFURCATION OF PARAMETRIC SECOND-ORDER PROGRAMME
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摘要 通过讨论Fritz John一阶必要条件形成的方程系统,研究参数二次规划解的分歧性质.先证明了由参数二次规划形成的方程系统的Jacobian矩阵具有一维核空间;又证明了该系统有两条解分支,并计算出解的基本表达式. In this paper, we mainly consider the parametric second - order programme. And we study the bifurcation propositions of the parametric second - order programme through a system of nonlinear equation formed by Fritz John first - order necessary condition. First, we prove that the Jacobian of the formulated system of nonlinear equation has one - dimensional null space ; and then, display two branches of the system and state their basic forms.
作者 阚超 宋文
机构地区 哈尔滨师范大学
出处 《哈尔滨师范大学自然科学学报》 CAS 2009年第2期4-8,共5页 Natural Science Journal of Harbin Normal University
关键词 参数二次性规划 分歧 解分支 The parametric second - order programme Bifurcation The branches of solutions
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参考文献6

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