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Nonsingularity in second-order cone programming via the smoothing metric projector

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Science China Mathematics 2010年第4期53卷 1025-1038页

作者： WANG Yun 1,& ZHANG LiWei 2 1 College of Information Sciences and Engineering,Shandong Agricultural University,Tai’an 271018,China 2 Department of Applied Mathematics,Dalian University of Technology,Dalian 116024,China 1. College of Information Sciences and Engineering Shandong Agricultural University Tai’an 271018 China2. Department of Applied Mathematics Dalian University of Technology Dalian 116024 China

Based on the differential properties of the smoothing metric projector onto the second-order cone,we prove that,for a locally optimal solution to a nonlinear second-order cone programming problem,the nonsingularity of the Clarke's generalized Jacobian of the smoothing Karush-Kuhn-Tucker system,constructed by the smoothing metric projector,is equivalent to the strong second-order sufficient condition and constraint nondegeneracy,which is in turn equivalent to the strong regularity of the Karush-Kuhn-Tucker ***,this nonsingularity property guarantees the quadratic convergence of the corresponding smoothing Newton method for solving a Karush-Kuhn-Tucker ***,the analysis does not need the strict complementarity condition.

关键词： second-order cone programming problem smoothing metric projector B-subdifferential Clarke’s generalized Jacobian smoothing Newton method

Ultra-lightweight and wide field of view augmented reality virtual retina display based on optical fiber projector and volume holographic lens

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Chinese Optics Letters 2019年第9期17卷 38-42页

作者： Zhidong Chen Xinzhu Sang Hui Li Yuan Wang Linmin Zhao State Key Laboratory of Information Photonics and Optical Communications Beijing University of Posts and Telecommunications

A novel see-through virtual retina display(VRD) system is proposed in this Letter. An optical fiber projector is used as the thin-light-beam source, which is modified from a laser scan projector by separating the laser sources and the scan mechanical structure. A synthetic aperture method is proposed for simple, low-cost fabrication of a volume holographic lens with large numerical aperture. These two key performance-enhanced elements are integrated into a lightweight and ordinary-glasses-like optical see-through VRD system. The proposed VRD system achieves a weight of 30g and a diagonal field of view of 60°.

关键词： Ultra-lightweight virtual retina display(VRD) An optical fiber projector

Multiobjective Optimal Design of Underwater Acoustic projector with Porous Piezocomposite Active Elements

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Journal of Applied Mathematics and Physics 2013年第6期1卷 89-94页

作者： A. V. Nasedkin M. S. Shevtsova J.-C. Liu S.-H. Chang J.-K. Wu 1Mathematical Modeling Department Southern Federal University Rostov-on-Don Russia 2Department of Electrical Engineering National Taiwan Ocean University Zhongzheng Taiwan 3Departments of Microelectronics & Marine Engineering National Kaoshiung Marine University Kaoshiung Taiwan

This paper concerns the optimization problem for multilayered ultrasonic transducer with active porous piezoelectric layer. The dependences of the effective moduli for porous piezoelectric material on porosity have been previously obtained and allowed to decrease the number of design variables. The multiobjective optimization problem based on the Pareto-frontier calculation has been solved using the live-link of finite-element (FE) package Comsol Multiphysics with MATLAB.

关键词： Porous Piezoceramics Multiobjective Optimization Pareto Frontier Multilayered Acoustic projector Underwater Applications

基于projector的球罐表面测地线展开法

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东华大学学报（自然科学版） 2011年第4期37卷 490-492页

作者：白顺琴张云飞石娟上海海事大学物流工程学院上海200135 上海应用技术学院机械工程学院上海200235

基于投影工具projector,提出一种实用的球罐表面展开方法.过球罐表面上一系列测地线将罐体表面划分为小块,提取每一小块的曲面边界曲线作为输入项逐一进行计算、连线并自动生成展开图,最后再集拢到展开后的球罐外表面.与传统的方法相比... 详细信息

基于投影工具projector,提出一种实用的球罐表面展开方法.过球罐表面上一系列测地线将罐体表面划分为小块,提取每一小块的曲面边界曲线作为输入项逐一进行计算、连线并自动生成展开图,最后再集拢到展开后的球罐外表面.与传统的方法相比,应用该方法对球罐表面进行展开可以保证焊缝的长度最短,且展开过程形象直观.故球罐的质量、安全性和精度均有所提高.

关键词：球面展开 AutoCAD projector 测地线

基于AutoCAD projector辅助软件的夹具设计

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煤矿机械 2011年第4期32卷 225-226页

作者：陈燕上海工程技术大学高职学院上海200437

借助AutoCAD平台上二次开发后形成的projector软件进行加工工件及其夹具零件的设计,具有简便易行的特性,克服了在短时间内熟练使用大型设计软件的困难。结合projector软件设计拨叉工件及其夹具零件,简化了设计过程,为其他设计研究提供... 详细信息

借助AutoCAD平台上二次开发后形成的projector软件进行加工工件及其夹具零件的设计,具有简便易行的特性,克服了在短时间内熟练使用大型设计软件的困难。结合projector软件设计拨叉工件及其夹具零件,简化了设计过程,为其他设计研究提供了新的思路。

关键词： AutoCAD projector 加工零件夹具设计

基于projector的曲面展开程序开发与应用

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淮阴工学院学报 2017年第1期26卷 17-20页

作者：顾燕程洋葛常清南通理工学院机械工程学院江苏南通226002

基于AutoCAD projector软件,可简便地编制计算机程序,自动绘制可展曲面的展开图。计算每一小块曲面的边界曲线,分点数增加到足够多。最后连线生成展开图,并存放有关数据,以满足机床加工的需要。与传统方法相比,不仅可以提高设计效率,还... 详细信息

基于AutoCAD projector软件,可简便地编制计算机程序,自动绘制可展曲面的展开图。计算每一小块曲面的边界曲线,分点数增加到足够多。最后连线生成展开图,并存放有关数据,以满足机床加工的需要。与传统方法相比,不仅可以提高设计效率,还可以提高加工精度和生产效率,是当前计算机辅助设计与制造中的一种实际工艺手段。

关键词： AutoCAD projector 二次开发曲面展开