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51.
不等式约束优化一个新的SQP算法 总被引:5,自引:0,他引:5
本文提出了一个处理不等式约束优化问题的新的SQP算法.和传统的SQP算法相比,该算法每步只需求解一个仅含等式约束的子二次规划,从而减少了算法的计算工作量.在适当的条件下,证明算法是全局收敛的且具有超线性收敛速度.数值实验表明算法是有效的. 相似文献
52.
S. MARDARE 《数学年刊B辑(英文版)》2003,24(2):191-204
Inequalities of Korn's type on a surface with boundary have been proved in many papers using different techniques (see e.g. [4, 5, 11]). The author proves here an inequality of Korn's type on a compact surface without boundary. The idea is to use a finite number of maps for defining the surface and the inequality of Korn's type without boundary conditions for every map and to recast these in a general functional analysis setting about quotient spaces. 相似文献
53.
Junhua Tong Liang Zhao Huihui Li Chenglin Wu Xu Han Jiang Wang Hong Liu 《Tetrahedron》2018,74(27):3755-3760
Asymmetric construction of β,β-diaryl substituted glycine bearing two contiguous chiral centers remains a significant challenge. Herein, the application of the para-quinone methides (p-QMs) and Ni(II)- complex of glycine via 1,6-conjugate addition to achieve asymmetric synthesis of β,β-diaryl substituted glycine has been explored successfully. This protocol features operational simplicity, high diastereoselectivity, and recyclable chiral ligand, which provides a versatile approach to the synthesis of highly enantiopure β,β-diaryl substituted glycine. 相似文献
54.
P. G. Spain 《Proceedings of the American Mathematical Society》1996,124(9):2813-2819
The Operator Kantorovich Inequality
holds for a wide class of operators on a Hilbert space and all operators for which is a partial isometry, being the range projection of
55.
56.
57.
In this paper, we introduce the notion of -decomposability of probability density functions in one dimension. Using -decomposability, we derive an inequality that applies to all symmetric unimodal densities. Our inequality involves only
the standard deviation of the densities concerned. The concept of -decomposability can be used as a non-parametric criterion for mode-finding and cluster analysis. 相似文献
58.
Chao-Ping Chen 《Applied mathematics and computation》2010,217(7):2905-2911
In this paper, the monotonicity properties of functions related to the psi function are obtained, a double inequality for the Euler-Mascheroni constant is established. Relevant connections of the results presented here with those derived in earlier works are also pointed out. 相似文献
59.
An inequality model for solving interval dynamic response of structures with uncertain-but-bounded parameters 总被引:1,自引:0,他引:1
In this paper, we look into the dynamic response of structures with uncertain-but-bounded parameters. A new inequality model for determining the interval dynamic response is presented. First we propose an interval dynamic response solution theorem. An inequality model which is a mathematics programming problem is suggested by the presented theorem. Using the central difference method, we substitute the differential items of the inequality model by difference items. By solving them, the interval dynamic response can be obtained. Two examples are used to illustrate the feasibility and the efficiency of the model. 相似文献
60.
Guowu Yao 《Proceedings of the American Mathematical Society》2003,131(7):2271-2277
In this paper, we discuss harmonic mappings on the unit disk with respect to any metric by using the -energy integral that was first introduced by Li in 1997 to treat quasiconformal harmonic mappings on the Poincaré disk, instead of the total energy integral. Some basic properties of harmonic mappings are given. Moreover, we give a new proof of the uniqueness theorem of Markovic and Mateljevic, which is more explicit and natural.