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大视场双目视觉传感器的现场标定 被引量:40
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作者 孙军华 吴子彦 +1 位作者 刘谦哲 张广军 《光学精密工程》 EI CAS CSCD 北大核心 2009年第3期633-640,共8页
分析了摄像机和双目视觉传感器的数学模型,针对大视场视觉测量应用,提出了一种基于基线尺的大视场双目视觉传感器标定方法。在测量空间内任意多次摆放基线尺,由两摄像机拍摄基线尺图像。利用基本矩阵及基线尺上两特征点之间距离的约束,... 分析了摄像机和双目视觉传感器的数学模型,针对大视场视觉测量应用,提出了一种基于基线尺的大视场双目视觉传感器标定方法。在测量空间内任意多次摆放基线尺,由两摄像机拍摄基线尺图像。利用基本矩阵及基线尺上两特征点之间距离的约束,采用线性解和非线性优化相结合的方法同时估计摄像机的内部参数以及双目视觉传感器的结构参数。该标定方法操作简单,标定效率高,无需初始参数即可估计双目立体传感器的全部参数。实验结果表明,该方法适合双目立体视觉传感器的现场标定,在6000mm×4500mm的范围内可以得到0.06mm的测量精度。 展开更多
关键词 立体视觉传感器 标定 大视场 基线尺 基本矩阵
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网壳结构节点体对其承载性能的影响 被引量:21
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作者 罗永峰 沈祖炎 《同济大学学报(自然科学版)》 EI CAS CSCD 1995年第1期21-25,共5页
提出用大位移带刚臂杆元来考虑节点大小对网壳结构承载性能的影响,推导出大位移带刚臂元的影响矩阵,修正了C.Oran[1]的渠-柱单元切线刚度矩阵,并对类似的支座节点体进行了同样的推导修正.通过对网壳结构算例的分析计算,... 提出用大位移带刚臂杆元来考虑节点大小对网壳结构承载性能的影响,推导出大位移带刚臂元的影响矩阵,修正了C.Oran[1]的渠-柱单元切线刚度矩阵,并对类似的支座节点体进行了同样的推导修正.通过对网壳结构算例的分析计算,证明了文中理论的正确、可靠. 展开更多
关键词 网壳结构 承载力 带网臂元 矩阵
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基于Hadoop的大矩阵乘法处理方法 被引量:8
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作者 孙远帅 陈垚 +1 位作者 官新均 林琛 《计算机应用》 CSCD 北大核心 2013年第12期3339-3344,3358,共7页
目前的矩阵乘法算法无法处理大规模和超大规模的矩阵,而随着MapReduce编程框架的提出,并行处理矩阵乘法成为解决大矩阵运算的主要手段。总结了矩阵乘法在MapReduce编程模型上的并行实现方法,并提出了实现高性能大矩阵乘法的策略———... 目前的矩阵乘法算法无法处理大规模和超大规模的矩阵,而随着MapReduce编程框架的提出,并行处理矩阵乘法成为解决大矩阵运算的主要手段。总结了矩阵乘法在MapReduce编程模型上的并行实现方法,并提出了实现高性能大矩阵乘法的策略———折中单个工作节点的计算量和需要网络传输的数据量。实验证明,并行实现算法在大矩阵上明显优于传统的单机算法,而且随着集群中节点数目的增多,并行算法会表现出更好的性能。 展开更多
关键词 大矩阵 矩阵乘法 矩阵运算 MAPREDUCE HADOOP 并行计算 海量数据
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Large-sized bone defect repair by combining a decalcified bone matrix framework and bone regeneration units based on photo-crosslinkable osteogenic microgels 被引量:7
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作者 Junxiang Hao Baoshuai Bai +10 位作者 Zheng Ci Jincheng Tang Guanhuai Hu Chengxiang Dai Mengyuan Yu Meng Li Wei Zhang Yixin Zhang Wenjie Ren Yujie Hua Guangdong Zhou 《Bioactive Materials》 SCIE 2022年第8期97-109,共13页
Physiological repair of large-sized bone defects is great challenging in clinic due to a lack of ideal grafts suitable for bone regeneration.Decalcified bone matrix(DBM)is considered as an ideal bone regeneration scaf... Physiological repair of large-sized bone defects is great challenging in clinic due to a lack of ideal grafts suitable for bone regeneration.Decalcified bone matrix(DBM)is considered as an ideal bone regeneration scaffold,but low cell seeding efficiency and a poor osteoinductive microenvironment greatly restrict its application in large-sized bone regeneration.To address these problems,we proposed a novel strategy of bone regeneration units(BRUs)based on microgels produced by photo-crosslinkable and microfluidic techniques,containing both the osteogenic ingredient DBM and vascular endothelial growth factor(VEGF)for accurate biomimic of an osteoinductive microenvironment.The physicochemical properties of microgels could be precisely controlled and the microgels effectively promoted adhesion,proliferation,and osteogenic differentiation of bone marrow mesenchymal stem cells(BMSCs)in vitro.BRUs were successfully constructed by seeding BMSCs onto microgels,which achieved reliable bone regeneration in vivo.Finally,by integrating the advantages of BRUs in bone regeneration and the advantages of DBM scaffolds in 3D morphology and mechanical strength,a BRU-loaded DBM framework successfully regenerated bone tissue with the desired 3D morphology and effectively repaired a large-sized bone defect of rabbit tibia.The current study developed an ideal bone biomimetic microcarrier and provided a novel strategy for bone regeneration and large-sized bone defect repair. 展开更多
关键词 Microgels large-sized bone defect repair Bone regeneration units PHOTO-CROSSLINKING Decalcified bone matrix
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Geometric state transfer method for construction control of a large-segment steel box girder with hoisting installation 被引量:6
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作者 Jin-feng WANG Hua-wei XIANG +2 位作者 Jiang-tao ZHANG Tian-mei WU Rong-qiao XU 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2020年第5期382-391,共10页
This paper aims to address the problem of geometric state control of large-segment steel box girders in offshore hoisting during the construction of large-span bridges. First, the geometric state control indexes of a ... This paper aims to address the problem of geometric state control of large-segment steel box girders in offshore hoisting during the construction of large-span bridges. First, the geometric state control indexes of a large-segment steel box girder are determined, such as the manufacturing parameters of the top and bottom slabs, the width of the annular joint, and the support position. Second, the geometric state equations and state transfer matrixes of large-segment steel box girders under different conditions are deduced by taking the mileage and elevation of control points as basic state variables. In application of the geometric state transfer method in the construction control of the Hong Kong-Zhuhai-Macao Bridge, the width of the annular joint and the position parameters for the support of the large-segment steel box girder are predicted precisely. Moreover, the manufacturing parameters of the top and bottom slabs of the steel box girders are calculated reliably. The measured values show that the width of the annular joint is basically the same with the difference of less than 2 mm, the eccentricity of bridge support is less than 20 mm, and the elevation error of the bridge deck is within-10 mm to +15 mm, which meets the construction accuracy. Using the geometric state transfer method, the rapid and accurate installation of the Hong Kong-Zhuhai-Macao Bridge has been realized, demonstrating that the precise control of the geometric state of a steel box girder with ectopic installation and multi-state transition can be realized by using the geometric state transfer method. 展开更多
关键词 large-segment steel box girder Offshore hoisting Construction control Geometric state Transfer matrix
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Engineering an extracellular matrix-functionalized,load-bearing tendon substitute for effective repair of large-to-massive tendon defects
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作者 Shuting Huang Ying Rao +6 位作者 Meng Zhou Anna M.Blocki Xiao Chen Chunyi Wen Dai Fei Elmer Ker Rocky S.Tuan Dan Michelle Wang 《Bioactive Materials》 SCIE CSCD 2024年第6期221-237,共17页
A significant clinical challenge in large-to-massive rotator cuff tendon injuries is the need for sustaining high mechanical demands despite limited tissue regeneration,which often results in clinical repair failure w... A significant clinical challenge in large-to-massive rotator cuff tendon injuries is the need for sustaining high mechanical demands despite limited tissue regeneration,which often results in clinical repair failure with high retear rates and long-term functional deficiencies.To address this,an innovative tendon substitute named“BioTenoForce”is engineered,which uses(i)tendon extracellular matrix(tECM)’s rich biocomplexity for tendon-specific regeneration and(ii)a mechanically robust,slow degradation polyurethane elastomer to mimic native tendon’s physical attributes for sustaining long-term shoulder movement.Comprehensive assessments revealed outstanding performance of BioTenoForce,characterized by robust core-shell interfacial bonding,human rotator cuff tendon-like mechanical properties,excellent suture retention,biocompatibility,and tendon differentiation of human adipose-derived stem cells.Importantly,BioTenoForce,when used as an interpositional tendon substitute,demonstrated successful integration with regenerative tissue,exhibiting remarkable efficacy in repairing large-to-massive tendon injuries in two animal models.Noteworthy outcomes include durable repair and sustained functionality with no observed breakage/rupture,accelerated recovery of rat gait performance,and>1 cm rabbit tendon regeneration with native tendon-like biomechanical attributes.The regenerated tissues showed tendon-like,wavy,aligned matrix structure,which starkly contrasts with the typical disorganized scar tissue observed after tendon injury,and was strongly correlated with tissue stiffness.Our simple yet versatile approach offers a dual-pronged,broadly applicable strategy that overcomes the limitations of poor regeneration and stringent biomechanical requirements,particularly essential for substantial defects in tendon and other load-bearing tissues. 展开更多
关键词 Tendon regeneration large-to-massive tendon defect Tendon tissue engineering Extracellular matrix Polyurethane
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一种基于计算智能的飞机部件装配序列优化方法
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作者 曾会华 《通信与信息技术》 2024年第4期81-85,共5页
针对目前装配资源受限条件下大型部件装配规划存在效率低、性能差的问题,提出一种基于离散烟花算法的装配序列规划模型。建立了装配部件、装配资源和混合干涉矩阵,以描述不同情况下的装配干涉问题。为了加快可行解的求解速度,设计了包... 针对目前装配资源受限条件下大型部件装配规划存在效率低、性能差的问题,提出一种基于离散烟花算法的装配序列规划模型。建立了装配部件、装配资源和混合干涉矩阵,以描述不同情况下的装配干涉问题。为了加快可行解的求解速度,设计了包括爆炸幅度、烟花爆炸产生的火花数量和火花位置更新的策略。实验阶段,以机翼的装配过程为例对所提模型进行验证。结果表明,与离散粒子群优化算法相比,使用所提出的离散烟花算法获得的解的适应度函数值更优,所提算法适应度值提升约24.5%。 展开更多
关键词 大型部件 装配序列 烟花算法 优化 干涉矩阵 高斯分布
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Numerical method of static aeroelastic correction and jig-shape design for large airliners 被引量:4
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作者 HUANG Wei LU ZhiLiang +2 位作者 GUO TongQing XUE Fei ZHANG Miao 《Science China(Technological Sciences)》 SCIE EI CAS 2012年第9期2447-2452,共6页
In this paper,a coupled CFD-CSD method based on N-S equations is described for static aeroelastic correction and jig-shape design of large airliners.The wing structural flexibility matrix is analyzed by a finite eleme... In this paper,a coupled CFD-CSD method based on N-S equations is described for static aeroelastic correction and jig-shape design of large airliners.The wing structural flexibility matrix is analyzed by a finite element method with a double-beam model.The viscous multi-block structured grid is used in aerodynamic calculations.Flexibility matrix interpolation is fulfilled by use of a surface spline method.The load distributions on wing surface are evaluated by solving N-S equations with a parallel algorithm.A flexibility approach is employed to calculate the structural deformations.By successive iterations between steady aerodynamic forces and structural deformations,a coupled CFD-CSD method is achieved for the static aeroelastic correction and jig-shape design of a large airliner.The present method is applied to the static aeroelastic analysis and jig-shape design for a typical large airliner with engine nacelle and winglet.The numerical results indicate that calculations of static aeroelastic correction should employ tightly coupled CFD-CSD iterations,and that on a given cruise shape only one round of iterative design is needed to obtain the jig-shape meeting design requirements. 展开更多
关键词 N-S equations large airliner static aeroelasticity flexibility matrix jig-shape
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Studies on the preliminary cracking: The reasons why matrix catalytic function is indispensable for the catalytic cracking of feed with large molecular size 被引量:2
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作者 Bin Wang Nan Li +3 位作者 Qiang Zhang Chunyi Li Chaohe Yang Honghong Shan 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2016年第4期641-653,共13页
The matrix catalytic function when cracking the feed oil with large molecular size was systematically studied using three different catalyst configurations, including staged bed, partly mixed bed and completely mixed ... The matrix catalytic function when cracking the feed oil with large molecular size was systematically studied using three different catalyst configurations, including staged bed, partly mixed bed and completely mixed bed. Results showed that molecules in the feed oil with large molecular size indeed preferred to be first precracked on the matrix surface and then entered into the zeolite pores during the practical reaction process. Furthermore, the matrix catalytic function exhibited a great matrix-precracking ability to large feed molecules, which considerably increased the catalyst activity and the light oil selectivity. Besides the much better accessibility, the matrix-precracking ability was also from the similar capability to crack large feed hydrocarbons into the moderate fragments with that of the zeolite component. More interestingly, the interactions between the matrix catalytic function and the zeolite catalytic function made the catalyst not only exhibit much more catalytic advantages of the zeolite component, but also retain the matrix-precracking ability. As a result, the interactions enhanced the catalyst activity and improved the product distribution at the same time. The matrix catalytic function is indispensable for the catalytic cracking of feed with large molecular size, although the matrix component itself presented an inferior catalytic performance than the zeolite component did. (C) 2016 Science Press and Dalian Institute of Chemical Physics, Chinese Academy of Sciences. Published by Elsevier B.V. and Science Press. All rights reserved. 展开更多
关键词 Fluid catalytic cracking matrix Precracking large hydrocarbons Catalysis relay
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一种具有较大围长的正则LDPC码构造方法 被引量:3
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作者 黄翔 山拜.达拉拜 《现代电子技术》 2010年第3期87-89,92,共4页
提出一种新的具有较大围长的正则LDPC码构造方法。首先介绍以矩阵分裂技术为基础的高围长正则LDPC码的构造方法,并在此基础上分析了设计围长时参数的选取方法。仿真表明,用这种方法构造的正则LDPC码围长可以达到12,并且在AWGN信道下的... 提出一种新的具有较大围长的正则LDPC码构造方法。首先介绍以矩阵分裂技术为基础的高围长正则LDPC码的构造方法,并在此基础上分析了设计围长时参数的选取方法。仿真表明,用这种方法构造的正则LDPC码围长可以达到12,并且在AWGN信道下的性能不差于相同参数、随机构造的LDPC码,在高信噪比时甚至优于相同参数的随机码。 展开更多
关键词 低密度奇偶校验码 高围长 矩阵分裂 正则LDPC码
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大规模矩阵计算的研究 被引量:3
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作者 贾仲孝 《大连理工大学学报》 CAS CSCD 北大核心 1999年第2期125-131,共7页
大规模矩阵特征计算问题和线性方程组计算问题来源于大量的应用科学和工程,其数值求解的方法和理论研究是一个重大课题.总结了作者几年来在该领域中的主要理论结果和开发的算法,它们对该领域的发展有着重要的影响,为实际问题的解决... 大规模矩阵特征计算问题和线性方程组计算问题来源于大量的应用科学和工程,其数值求解的方法和理论研究是一个重大课题.总结了作者几年来在该领域中的主要理论结果和开发的算法,它们对该领域的发展有着重要的影响,为实际问题的解决提供了强有力的工具. 展开更多
关键词 收敛 计算方法 矩阵 QR法 大规模矩阵
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Some theoretical comparisons of refined Ritz vectors and Ritz vectors 被引量:1
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作者 JIA Zhongxiao 《Science China Mathematics》 SCIE 2004年第z1期222-233,共12页
Refined projection methods proposed by the author have received attention internationally. We are concerned with a conventional projection method and its refined counterpart for computing approximations to a simple ei... Refined projection methods proposed by the author have received attention internationally. We are concerned with a conventional projection method and its refined counterpart for computing approximations to a simple eigenpair (λ, x) of a large matrix A. Given a subspace ω that contains an approximation to x, these two methods compute approximations (μ,x) and μ,x) to (λ,x), respectively. We establish three results. First, the refined eigenvector approximation or simply the refined Ritz vector x is unique as the deviation of x from ω approaches zero if A is simple. Second, in terms of residual norm of the refined approximate eigenpair (μ, x), we derive lower and upper bounds for the sine of the angle between the Ritz vector x and the refined eigenvector approximation x, and we prove that x≠x unless x = x. Third, we establish relationships between the residual norm ||AX -μx|| of the conventional methods and the residual norm ||Ax -μx|| of the refined methods, and we show that the latter is always smaller than the former if (μ, x) is not an exact eigenpair of A, indicating that the refined projection method is superior to the corresponding conventional counterpart. 展开更多
关键词 large matrix CONVENTIONAL projection refined projection eigenvalue eigenvector Ritz value Ritz vector refined Ritz vector.
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Preconditioning method and engineering application of large eddy simulation 被引量:1
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作者 LI XueSong XU JianZhong GU ChunWei 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2008年第6期667-677,共11页
On applying large eddy simulation (LES) to engineering interest, one of the keys is to obtain two-order low-dissipation shock-capturing schemes adapted to LES. Therefore, the preconditioning method for all speed flows... On applying large eddy simulation (LES) to engineering interest, one of the keys is to obtain two-order low-dissipation shock-capturing schemes adapted to LES. Therefore, the preconditioning method for all speed flows is adopted. However, the accuracy of preconditioned schemes is not satisfactory because of the poor per-formance of stability of preconditioning techniques especially in viscous flows. The reason of unstability is attributed to the unstability structure in the preconditioned eigenvalue matrix. Based on Roe scheme and two assumptions for low-Mach- Number flows, the new scheme named Low-Speed-Roe scheme is deduced for removing the unstability structure. Numerical experiments show that this scheme has the reasonable computational stability. For general-precision problems, Low-Speed-Roe scheme has similar behavior as the classical preconditioned Roe scheme. For simulations of high-accuracy requirement such as LES, Low-Speed- Roe scheme can obtain better results of complex flows, such as the laminar sepa-ration bubble on the suction surface of the high-loaded turbine blade T106. 展开更多
关键词 PRECONDITIONING METHOD EIGENVALUE matrix Low-Speed-Roe scheme large EDDY simulation engineering application
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大场景下自由手势交互技术 被引量:1
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作者 李仕 卢俊阳 +2 位作者 张明威 王航宁 王毅刚 《印刷与数字媒体技术研究》 CAS 北大核心 2023年第4期244-251,共8页
超大屏幕在元宇宙时代已经是常见的显示终端,用户在超大屏幕场景下通常有不受约束的行走和自由人机交互的需求。针对以上需求,本研究提出一种基于二次坐标转换的3D手势坐标映射方法。将手部骨骼节点的3D坐标转换到视点所在坐标系上,再... 超大屏幕在元宇宙时代已经是常见的显示终端,用户在超大屏幕场景下通常有不受约束的行走和自由人机交互的需求。针对以上需求,本研究提出一种基于二次坐标转换的3D手势坐标映射方法。将手部骨骼节点的3D坐标转换到视点所在坐标系上,再经坐标转换获得手部节点在真实场景中的实时坐标。经过虚实映射,用户可以通过裸手驱动系统端的虚拟手进行人机交互,系统基于识别到的手势信息给予用户实时反馈。实验表明,本研究方法允许用户在大屏幕或环幕场景中不受约束行走的同时,在其视线所及之处通过裸手进行拾取等交互,达到可见即可交互的效果,提升用户的交互体验。 展开更多
关键词 虚拟现实 大场景 视图矩阵 手势交互
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Identifying spatiotemporal traffic patterns in large-scale urban road networks using a modified nonnegative matrix factorization algorithm 被引量:2
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作者 Xiaolei Ma Yi Li Peng Chen 《Journal of Traffic and Transportation Engineering(English Edition)》 CSCD 2020年第4期529-539,共11页
The identification and analysis of spatiotemporal traffic patterns in road networks constitute a crucial process for sophisticated traffic management and control.Traditional methods based on mathematical equations and... The identification and analysis of spatiotemporal traffic patterns in road networks constitute a crucial process for sophisticated traffic management and control.Traditional methods based on mathematical equations and statistical models can hardly be applicable to large-scale urban road networks,where traffic states exhibit high degrees of dynamics and complexity.Recently,advances in data collection and processing have provided new opportunities to effectively understand spatiotemporal traffic patterns in large-scale road networks using data-driven methods.However,limited efforts have been exerted to explore the essential structure of the networks when conducting a spatiotemporal analysis of traffic characteristics.To this end,this study proposes a modified nonnegative matrix factorization algorithm that processes high-dimensional traffic data and provides an improved representation of the global traffic state.After matrix factorization,cluster analysis is conducted based on the obtained low-dimensional representative matrices,which contain different traffic patterns and serve as the basis for exploring the temporal dynamics and spatial structure of network congestion.The applicability and effectiveness of the proposed approach are examined in a road network of Beijing,China.Results show that the methods exhibit considerable potential for identifying and interpreting the spatiotemporal traffic patterns over the entire network and provide a systematic and efficient approach for analyzing the network-level traffic state. 展开更多
关键词 large-scale network Traffic state Spatiotemporal patterns Nonnegative matrix factorization
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Applying Analytical Derivative and Sparse Matrix Techniques to Large-Scale Process Optimization Problems 被引量:2
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作者 仲卫涛 邵之江 +1 位作者 张余岳 钱积新 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2000年第3期212-217,共6页
The performance of analytical derivative and sparse matrix techniques applied to a traditional dense sequential quadratic programming (SQP) is studied, and the strategy utilizing those techniques is also presented.Com... The performance of analytical derivative and sparse matrix techniques applied to a traditional dense sequential quadratic programming (SQP) is studied, and the strategy utilizing those techniques is also presented.Computational results on two typical chemical optimization problems demonstrate significant enhancement in efficiency, which shows this strategy is promising and suitable for large-scale process optimization problems. 展开更多
关键词 large-scale optimization open-equation sequential quadratic programming analytical derivative sparse matrix technique
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Deriving Operational Origin-Destination Matrices From Large Scale Mobile Phone Data 被引量:1
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作者 Jingtao Ma Huan Li +1 位作者 Fang Yuan Thomas Bauer 《International Journal of Transportation Science and Technology》 2013年第3期183-203,共21页
A method is presented in this work that integrates both emerging and mature data sources to estimate the operational travel demand in fine spatial and temporal resolutions.By analyzing individuals’mobility patterns r... A method is presented in this work that integrates both emerging and mature data sources to estimate the operational travel demand in fine spatial and temporal resolutions.By analyzing individuals’mobility patterns revealed from their mobile phones,researchers and practitioners are now equipped to derive the largest trip samples for a region.Because of its ubiquitous use,extensive coverage of telecommunication services and high penetration rates,travel demand can be studied continuously in fine spatial and temporal resolutions.The derived sample or seed trip matrices are coupled with surveyed commute flow data and prevalent travel demand modeling techniques to provide estimates of the total regional travel demand in the form of origindestination(OD)matrices.The methodology is evaluated in a series of real world transportation planning studies and proved its potentials in application areas such as dynamic traffic assignment modeling,integrated corridor management and online traffic simulations. 展开更多
关键词 operational origin-destination matrix large scale mobile phone data matrix correction trip imputation path-matching travel demand projection
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A convergence analysis of the inexact Rayleigh quotient iteration and simplified Jacobi-Davidson method for the large Hermitian matrix eigenproblem
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作者 JIA ZhongXiao WANG Zhen 《Science China Mathematics》 SCIE 2008年第12期2205-2216,共12页
The inexact Rayleigh quotient iteration (RQI) is used for computing the smallest eigenpair of a large Hermitian matrix. Under certain condition, the method was proved to converge quadratically in literature. However, ... The inexact Rayleigh quotient iteration (RQI) is used for computing the smallest eigenpair of a large Hermitian matrix. Under certain condition, the method was proved to converge quadratically in literature. However, it is shown in this paper that under the original given condition the inexact RQI may not quadratically converge to the desired eigenpair and even may misconverge to some other undesired eigenpair. A new condition, called the uniform positiveness condition, is given that can fix misconvergence problem and ensure the quadratic convergence of the inexact RQI. An alternative to the inexact RQI is the Jacobi-Davidson (JD) method without subspace acceleration. A new proof of its linear convergence is presented and a sharper bound is established in the paper. All the results are verified and analyzed by numerical experiments. 展开更多
关键词 eigenvalue EIGENVECTOR large Hermite matrix INEXACT RQI simplified JD convergence misconvergence the uniform positiveness condition 65F15
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Eigenvalues of Large Matrices
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作者 ZHAO Yu-min1,2 (1 Department of Physics, Shanghai Jiaotong University, Shanghai 200240,China 2 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Research Facility in Lanzhou, Lanzhou 730000, China) 《原子核物理评论》 CAS CSCD 北大核心 2009年第S1期165-167,共3页
We recently performed a series of improvement on evaluation of eigenvalues without complicated iterations. In this work we first discuss evaluation of the lowest eigenvalue for given systems,by which one conveniently ... We recently performed a series of improvement on evaluation of eigenvalues without complicated iterations. In this work we first discuss evaluation of the lowest eigenvalue for given systems,by which one conveniently obtains the value of the lowest eigenvalue based on the dimension and width of given matrix. We also discuss a strong correlation between eigenvalues and diagonal matrix elements for large matrices,by which one is able to predict eigenvalues approximately without iterations. 展开更多
关键词 EIGENVALUE large matrix CORRELATION
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Efficient approach for dynamic simulation of complex fluid networks in frequency domain
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作者 贺尚红 段吉安 钟掘 《中国有色金属学会会刊:英文版》 CSCD 2000年第6期838-841,共4页
The conventional transfer matrix models of fluid elements were modified and a convenient method of dealing with junction boundary conditions was introduced. A large scale fluid network was modeled by standard procedur... The conventional transfer matrix models of fluid elements were modified and a convenient method of dealing with junction boundary conditions was introduced. A large scale fluid network was modeled by standard procedures, and a network was expressed with characteristic matrix and boundary condition matrix. By simple operation of matrix, the dynamic characteristics of a large scale fluid network was simulated in frequency domain. Validation test on a large scale pipeline network showed that the proposed method is accurate and practical.[ 展开更多
关键词 HYDRAULIC network model HYDRAULIC simulation TRANSFER matrix large SCALE systemD
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