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A QP-FREE AND SUPERLINEARLY CONVERGENT ALGORITHM FOR INEQUALITY CONSTRAINED OPTIMIZATIONS 被引量:3
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作者 徐以凡 王薇 《Acta Mathematica Scientia》 SCIE CSCD 2001年第1期121-130,共10页
In this paper, a new mixed quasi-Newton method for inequality constrained optimization problems is proposed. The feature of the method is that only the systems of linear equations are solved in each iteration, other t... In this paper, a new mixed quasi-Newton method for inequality constrained optimization problems is proposed. The feature of the method is that only the systems of linear equations are solved in each iteration, other than the quadratic programming, which decrease the amount of computations and is also efficient for large scale problem. Under some mild assumptions without the strict complementary condition., the method is globally and superlinearly convergent. 展开更多
关键词 quasi-Newton method strict complementary condition global convergence superlinear convergence
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A MIXED SUPERLINEARLY CONVERGENT ALGORITHM WITH NONMONOTONE SEARCH FOR CONSTRAINED OPTIMIZATIONS
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作者 XuYifan WangWei 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2000年第2期211-219,共9页
In the paper, a new mixed algorithm combined with schemes of nonmonotone line search, the systems of linear equations for higher order modification and sequential quadratic programming for constrained optimizations is... In the paper, a new mixed algorithm combined with schemes of nonmonotone line search, the systems of linear equations for higher order modification and sequential quadratic programming for constrained optimizations is presented. Under some weaker assumptions,without strict complementary condition, the algorithm is globally and superlinearly convergent. 展开更多
关键词 Strict complementary condition nonmonotone line search constrained optimization convergence.
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A FEASIBLE AND SUPERLINEAR ALGORITHM FOR INEQUALITY CONSTRAINED MINIMIZATION PROBLEMS
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作者 徐以汎 王薇 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2000年第1期36-41,共6页
In this paper, a new algorithm for inequality constrained optimization problems is presented. The algorithm is feasible and is globally and superlinearly convergent under some weaker assumptions - without strict comp... In this paper, a new algorithm for inequality constrained optimization problems is presented. The algorithm is feasible and is globally and superlinearly convergent under some weaker assumptions - without strict complementary condition. 展开更多
关键词 Strict complementary condition global convergence superlinear convergence
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