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Oxidation Behavior of C/C-SiC Gradient Matrix Composites 被引量:6
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作者 Jingyi DENG, Wenchuan LIU, Haifeng DU, Huiming CHENG and Yiyi LI Institute of Metal Research, Chinese Academy of Sciences, Shenyang 110016, China 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2001年第5期543-546,共4页
Oxidation behavior of C/C-SiC gradient matrix composites and C/C composites were compared in stationary air. The results show that oxidation threshold of C-SiC materials increases with the amount of SiC particles in t... Oxidation behavior of C/C-SiC gradient matrix composites and C/C composites were compared in stationary air. The results show that oxidation threshold of C-SiC materials increases with the amount of SiC particles in the codeposition matrix. Oxidation rate of C/C-SiC gradient matrix composites is significantly lower than that of C/C material. The micro-oxidation process was observed by SEM. 展开更多
关键词 Oxidation Behavior of C/C-SiC gradient matrix Composites SIC SIC
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On the homogenization of metal matrix composites using strain gradient plasticity 被引量:1
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作者 Reza Azizi Christian F.Niordson Brian Nyvang Legarth 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2014年第2期175-190,共16页
The homogenized response of metal matrix composites(MMC) is studied using strain gradient plasticity.The material model employed is a rate independent formulation of energetic strain gradient plasticity at the micro... The homogenized response of metal matrix composites(MMC) is studied using strain gradient plasticity.The material model employed is a rate independent formulation of energetic strain gradient plasticity at the micro scale and conventional rate independent plasticity at the macro scale. Free energy inside the micro structure is included due to the elastic strains and plastic strain gradients. A unit cell containing a circular elastic fiber is analyzed under macroscopic simple shear in addition to transverse and longitudinal loading. The analyses are carried out under generalized plane strain condition. Micro-macro homogenization is performed observing the Hill-Mandel energy condition,and overall loading is considered such that the homogenized higher order terms vanish. The results highlight the intrinsic size-effects as well as the effect of fiber volume fraction on the overall response curves, plastic strain distributions and homogenized yield surfaces under different loading conditions. It is concluded that composites with smaller reinforcement size have larger initial yield surfaces and furthermore,they exhibit more kinematic hardening. 展开更多
关键词 Metal matrix composite(MMC) Strain gradient plasticity Homogenization Yield surface
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Improved gradient iterative algorithms for solving Lyapunov matrix equations 被引量:1
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作者 顾传青 范伟薇 《Journal of Shanghai University(English Edition)》 CAS 2008年第5期395-399,共5页
In this paper, an improved gradient iterative (GI) algorithm for solving the Lyapunov matrix equations is studied. Convergence of the improved method for any initial value is proved with some conditions. Compared wi... In this paper, an improved gradient iterative (GI) algorithm for solving the Lyapunov matrix equations is studied. Convergence of the improved method for any initial value is proved with some conditions. Compared with the GI algorithm, the improved algorithm reduces computational cost and storage. Finally, the algorithm is tested with GI several numerical examples. 展开更多
关键词 gradient iterative (GI) algorithm improved gradient iteration (GI) algorithm Lyapunov matrix equations convergence factor
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The Corrected Expressions for the Four-Pole Transmission Matrix for a Duct with a Linear Temperature Gradient and an Exponential Temperature Profile
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作者 Carl Q. Howard 《Open Journal of Acoustics》 2013年第3期62-66,共5页
The purpose of this letter is to present the corrected expressions for the four-pole transmission matrix for a duct with a linear temperature gradient and an exponential temperature profile, described in Sujith [1]. T... The purpose of this letter is to present the corrected expressions for the four-pole transmission matrix for a duct with a linear temperature gradient and an exponential temperature profile, described in Sujith [1]. The corrected equations are used in the analyses of a duct that is driven by a piston at one end and a rigid termination at the other end and the gas has a linear and exponential temperature gradients. The acoustic pressure and particle velocity along the duct are calculated and the theoretical results are compared with predictions using finite element analysis. 展开更多
关键词 DUCT Transmission matrix Four-Pole Temperature gradient Finite Element Analysis
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低频辐射环境下多导线电磁耦合计算新方法
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作者 叶志红 翟宇凡 《微波学报》 北大核心 2026年第1期60-67,共8页
鉴于低频辐射持续时间很长而多导体传输线结构精细,场线耦合时域计算效率极低,同时缺乏高效的场线耦合频域模型与算法。本文将频域有限差分法(FDFD)与传输线方程和矩量法(MoM)相结合,研究了一种新型的场线耦合频域算法,实现屏蔽腔体环... 鉴于低频辐射持续时间很长而多导体传输线结构精细,场线耦合时域计算效率极低,同时缺乏高效的场线耦合频域模型与算法。本文将频域有限差分法(FDFD)与传输线方程和矩量法(MoM)相结合,研究了一种新型的场线耦合频域算法,实现屏蔽腔体环境下多导体传输线低频辐射干扰的准确快速计算。首先,采用传输线方程构建多导体传输线的低频辐射耦合模型,通过FDFD方法进行求解,推导建立新型的FDFD-TL矩阵方程。然后,使用MoM准确快速计算多导体传输线沿线的切向电场,获取FDFD-TL矩阵方程的等效电压源项。最后,结合复共轭梯度法与MPI并行技术,快速求解FDFD-TL矩阵方程,获得多导体传输线沿线及端接负载电流响应。通过相应计算实例的数值模拟,与MoM全波仿真结果从精度和计算耗时两方面进行对比,充分验证了该方法的计算精度与效率。 展开更多
关键词 低频辐射 多导体传输线耦合 矩量法 FDFD-TL矩阵方程 MPI并行的复共轭梯度法
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Conjugate gradient and cross-correlation based least-square reverse time migration and its application 被引量:1
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作者 孙小东 李振春 葛中慧 《Applied Geophysics》 SCIE CSCD 2017年第3期381-386,460,共7页
Although conventional reverse time migration can be perfectly applied to structural imaging it lacks the capability of enabling detailed delineation of a lithological reservoir due to irregular illumination. To obtain... Although conventional reverse time migration can be perfectly applied to structural imaging it lacks the capability of enabling detailed delineation of a lithological reservoir due to irregular illumination. To obtain reliable reflectivity of the subsurface it is necessary to solve the imaging problem using inversion. The least-square reverse time migration (LSRTM) (also known as linearized refleetivity inversion) aims to obtain relatively high-resolution amplitude preserving imaging by including the inverse of the Hessian matrix. In practice, the conjugate gradient algorithm is proven to be an efficient iterative method for enabling use of LSRTM. The velocity gradient can be derived from a cross-correlation between observed data and simulated data, making LSRTM independent of wavelet signature and thus more robust in practice. Tests on synthetic and marine data show that LSRTM has good potential for use in reservoir description and four-dimensional (4D) seismic images compared to traditional RTM and Fourier finite difference (FFD) migration. This paper investigates the first order approximation of LSRTM, which is also known as the linear Born approximation. However, for more complex geological structures a higher order approximation should be considered to improve imaging quality. 展开更多
关键词 Reverse time migration reflectivity Hessian matrix conjugate gradient
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SiC_(f)/SiC陶瓷基复合材料不同方向的热膨胀性能
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作者 王贺权 郜加乐 《沈阳航空航天大学学报》 2026年第1期26-32,共7页
为了给2.5D SiC_(f)/SiC陶瓷基复合材料的热力学研究提供一定的思路,采用仿真模拟与实验对照的方法研究了2.5D SiC_(f)/SiC陶瓷基复合材料在不同方向上的热膨胀系数及热膨胀各向异性行为。在2.5D SiC_(f)/SiC陶瓷基复合材料0°、45&... 为了给2.5D SiC_(f)/SiC陶瓷基复合材料的热力学研究提供一定的思路,采用仿真模拟与实验对照的方法研究了2.5D SiC_(f)/SiC陶瓷基复合材料在不同方向上的热膨胀系数及热膨胀各向异性行为。在2.5D SiC_(f)/SiC陶瓷基复合材料0°、45°、90°3个方向上分别测试了100~1200℃范围内12个不同温度梯度的热膨胀系数,分析了方向和温度对材料热膨胀系数的影响,并建立不同方向的仿真模型,模拟实验加热过程,仿真得到材料的热膨胀系数。结果表明,随着温度的升高,热膨胀系数先增大再逐渐趋于稳定。在方向上,材料在45°方向上的热膨胀系数大于其他两个方向,90°方向上的热膨胀系数最小。通过仿真模型的热变形数据结果计算得出材料的热膨胀系数,得出Pearson相关系数分别为0.96806、0.97419、0.91737,证明了模型的有效性,为以后的研究奠定了基础。 展开更多
关键词 2.5D SiC_(f)/SiC 陶瓷基复合材料 各向异性 温度梯度 热膨胀系数
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基于问题诊断的数学作业设计策略探析
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作者 臧东 《成才之路》 2026年第5期109-112,共4页
基于问题诊断的数学作业设计,可实现从“教师中心”向“学生中心”的范式转型、从“知识掌握”向“素养培育”的全面升级、从“经验驱动”到“数据循证”的专业蜕变。基于问题诊断的数学作业设计当前面临教师主导与学生需求的矛盾、知... 基于问题诊断的数学作业设计,可实现从“教师中心”向“学生中心”的范式转型、从“知识掌握”向“素养培育”的全面升级、从“经验驱动”到“数据循证”的专业蜕变。基于问题诊断的数学作业设计当前面临教师主导与学生需求的矛盾、知识训练与素养培养脱节、传统模式与现代教育落差等困境。文章基于存在的问题,提出构建学情诊断体系、创建作业内容矩阵、创新作业实施模式、健全质量保障机制等策略,以增强作业的针对性、有效性和育人功能,在减负提质的同时发展学生的数学核心素养。 展开更多
关键词 小学数学 作业 学情诊断 矩阵 范式 蜕变 数据驱动 梯度进阶
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PARTICULATE SIZE EFFECTS IN THE PARTICLE-REINFORCED METAL-MATRIX COMPOSITES 被引量:13
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作者 魏悦广 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2001年第1期45-58,共14页
The influences of I,article size on the mechanical properties of the particulate metal matrix composite;are obviously displayed in the experimental observations. However, the phenomenon can not be predicted directly u... The influences of I,article size on the mechanical properties of the particulate metal matrix composite;are obviously displayed in the experimental observations. However, the phenomenon can not be predicted directly using the conventional elastic-plastic theory. It is because that no length scale parameters are involved in the conventional theory. In the present research, using the strain gradient plasticity theory, a systematic research of the particle size effect in the particulate metal matrix composite is carried out. The roles of many composite factors, such as: the particle size, the Young's modulus of the particle, the particle aspect ratio and volume fraction, as well as the plastic strain hardening exponent of the matrix material, are studied in detail. In order to obtain a general understanding for the composite behavior, two kinds of particle shapes, ellipsoid and cylinder, are considered to check the strength dependence of the smooth or non-smooth particle surface. Finally, the prediction results will be applied to the several experiments about the ceramic particle-reinforced metal-matrix composites. The material length scale parameter is predicted. 展开更多
关键词 size effect strain gradient plasticity the particle-reinforced metal-matrix composite
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Patch-based vehicle logo detection with patch intensity and weight matrix 被引量:3
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作者 刘海明 黄樟灿 Ahmed Mahgoub Ahmed Talab 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第12期4679-4686,共8页
A patch-based method for detecting vehicle logos using prior knowledge is proposed.By representing the coarse region of the logo with the weight matrix of patch intensity and position,the proposed method is robust to ... A patch-based method for detecting vehicle logos using prior knowledge is proposed.By representing the coarse region of the logo with the weight matrix of patch intensity and position,the proposed method is robust to bad and complex environmental conditions.The bounding-box of the logo is extracted by a thershloding approach.Experimental results show that 93.58% location accuracy is achieved with 1100 images under various environmental conditions,indicating that the proposed method is effective and suitable for the location of vehicle logo in practical applications. 展开更多
关键词 vehicle logo detection prior knowledge gradient extraction patch intensity weight matrix background removing
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Optimization of cold-sprayed AA2024/Al_2O_3 metal matrix composites via friction stir processing: Effect of rotation speeds 被引量:4
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作者 Kang Yang Wenya Li +2 位作者 Chunjie Huang Xiawei Yang Yaxin Xu 《Journal of Materials Science & Technology》 SCIE EI CAS CSCD 2018年第11期2167-2177,共11页
In this study, friction stir processing(FSP) was employed to modify cold-sprayed(CSed) AA2024/Al2 O3 metal matrix composites(MMCs). Three different rotation speeds with a constant traverse speed were used for FS... In this study, friction stir processing(FSP) was employed to modify cold-sprayed(CSed) AA2024/Al2 O3 metal matrix composites(MMCs). Three different rotation speeds with a constant traverse speed were used for FSP. Microstructural analysis of the FSPed specimens reveals significant Al2 O3 particle refinement and improved particle distribution over the as-sprayed deposits. After FSP, a microstructural and mechanical gradient MMC through the thickness direction was obtained. Therefore, a hybrid technique combining these two solid-state processes, i.e. CS and FSP, was proposed to produce functionally gradient deposits. The Guinier-Preston-Bagaryatskii zone was dissolved during FSP, while the amounts at different rotation speeds were approximately the same, which is possibly due to the excellent thermal conductivity of the used Cu substrate. Mechanical property tests confirm that FSP can effectively improve the tensile performance and Vickers hardness of CSed AA2024/Al2 O3 MMCs. The properties can be further enhanced with a larger rotation speed with a maximum increase of 25.9% in ultimate tensile strength and27.4% in elongation at 1500 rpm. Friction tests show that FSP decreases the wear resistance of CSed MMCs deposits due to the breakup of Al2 O3 particles. The average values and fluctuations of friction coefficients at different rotation speeds vary significantly. 展开更多
关键词 Cold spray Friction stir processing Metal matrix composite Functionally gradient deposit Mechanical property TRIBOLOGY
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An iterative algorithm for solving a class of matrix equations
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作者 Minghui WANG Yan FENG 《控制理论与应用(英文版)》 EI 2009年第1期68-72,共5页
In this paper, an iterative algorithm is presented to solve the Sylvester and Lyapunov matrix equations. By this iterative algorithm, for any initial matrix X1, a solution X* can be obtained within finite iteration s... In this paper, an iterative algorithm is presented to solve the Sylvester and Lyapunov matrix equations. By this iterative algorithm, for any initial matrix X1, a solution X* can be obtained within finite iteration steps in the absence of roundoff errors. Some examples illustrate that this algorithm is very efficient and better than that of [ 1 ] and [2]. 展开更多
关键词 Iterative algorithm Conjugate gradient method Lyapunov matrix equation Sylvester matrix equation
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基于超参数优化和误差修正的STAGN超短期风电功率预测 被引量:3
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作者 潘超 王超 +1 位作者 孙惠 孟涛 《电力系统保护与控制》 北大核心 2025年第8期117-129,共13页
针对风电功率预测模型的数据关联性与误差修正适应性问题,提出基于超参数优化和误差修正单元切换的超短期风电功率预测方法。首先,构建时空注意力门控网络预测模型,利用改进开普勒算法进行超参数优化。然后,考虑风电场数据与预测误差之... 针对风电功率预测模型的数据关联性与误差修正适应性问题,提出基于超参数优化和误差修正单元切换的超短期风电功率预测方法。首先,构建时空注意力门控网络预测模型,利用改进开普勒算法进行超参数优化。然后,考虑风电场数据与预测误差之间的非线性关联,构建误差修正自适应单元。同时挖掘风速时序变化特征,构建深度学习单元。在此基础上,提出基于风速矩阵梯度的误差修正单元切换策略。最后,将模型应用于实际风场的功率预测并与其他模型对比分析。结果表明,所提方法在预测精度上优于其他方法,且在风速复杂多变的风场仍具有较高预测精度,验证了所提方法的准确性和适用性。 展开更多
关键词 超短期风电功率预测 改进开普勒算法 误差修正 风速矩阵梯度
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一种改进的低秩矩阵补全加速近端梯度法
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作者 闫喜红 兰泽 逯婧瑜 《工程数学学报》 北大核心 2025年第6期991-1004,共14页
针对低秩矩阵补全问题,提出了一种变步长加速近端梯度算法。该算法基于Armijo准则选取自适应变步长以实现加速,并确保目标函数在每一步迭代中单调下降,从而显著提高了计算效率。在特定假设条件下,对算法的收敛性进行了理论分析与证明。... 针对低秩矩阵补全问题,提出了一种变步长加速近端梯度算法。该算法基于Armijo准则选取自适应变步长以实现加速,并确保目标函数在每一步迭代中单调下降,从而显著提高了计算效率。在特定假设条件下,对算法的收敛性进行了理论分析与证明。通过数值实验,进一步验证了所提出算法的有效性。 展开更多
关键词 低秩矩阵补全 加速近端梯度算法 Armijo准则
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Developing Bi-CG and Bi-CR Methods to Solve Generalized Sylvester-transpose Matrix Equations 被引量:2
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作者 Masoud Hajarian 《International Journal of Automation and computing》 EI CSCD 2014年第1期25-29,共5页
The bi-conjugate gradients(Bi-CG)and bi-conjugate residual(Bi-CR)methods are powerful tools for solving nonsymmetric linear systems Ax=b.By using Kronecker product and vectorization operator,this paper develops the Bi... The bi-conjugate gradients(Bi-CG)and bi-conjugate residual(Bi-CR)methods are powerful tools for solving nonsymmetric linear systems Ax=b.By using Kronecker product and vectorization operator,this paper develops the Bi-CG and Bi-CR methods for the solution of the generalized Sylvester-transpose matrix equationp i=1(Ai X Bi+Ci XTDi)=E(including Lyapunov,Sylvester and Sylvester-transpose matrix equations as special cases).Numerical results validate that the proposed algorithms are much more efcient than some existing algorithms. 展开更多
关键词 Linear systems iterative method bi-conjugate gradients(Bi-CG) method bi-conjugate residual(Bi-CR) method Sylvester matrix equation
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基于自然梯度的非线性变分贝叶斯滤波算法 被引量:1
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作者 胡玉梅 潘泉 +2 位作者 邓豹 郭振 陈立峰 《自动化学报》 北大核心 2025年第2期427-444,共18页
在统计流形空间中,从信息几何角度考虑非线性状态后验分布近似的实质是后验分布与相应参数化变分分布之间的Kullback-Leibler(KL)散度最小化问题,同时也可以转化为变分置信下界的最大化问题.为了提升非线性系统状态估计的精度,在高斯系... 在统计流形空间中,从信息几何角度考虑非线性状态后验分布近似的实质是后验分布与相应参数化变分分布之间的Kullback-Leibler(KL)散度最小化问题,同时也可以转化为变分置信下界的最大化问题.为了提升非线性系统状态估计的精度,在高斯系统假设条件下结合变分贝叶斯(Variational Bayes,VB)推断和Fisher信息矩阵推导出置信下界的自然梯度,并通过分析其信息几何意义,阐述在统计流形空间中置信下界沿其方向不断迭代增大,实现变分分布与后验分布的“紧密”近似;在此基础上,以状态估计及其误差协方差作为变分超参数,结合最优估计理论给出一种基于自然梯度的非线性变分贝叶斯滤波算法;最后,通过天基光学传感器量测条件下近地轨道卫星跟踪定轨和纯角度被动传感器量测条件下运动目标跟踪仿真实验验证,与对比算法相比,所提算法具有更高的精度. 展开更多
关键词 非线性滤波 信息几何 变分贝叶斯推断 自然梯度 Fisher信息矩阵
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广义约束CX=D条件下矩阵方程AX=E的极小最小二乘解的迭代算法
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作者 杨家稳 宋园 张太阳 《滁州学院学报》 2025年第2期21-28,共8页
为解决在广义约束CX=D条件下矩阵方程AX=E的极小最小二乘解,提出了基于搜索方向正交与梯度投影相结合的一种迭代算法。算法的总体思路是将目标函数F(X)=‖E-AX‖^(2)在矩阵X处的负梯度投影到约束集S={X|CX=D}中获得g,然后,根据共轭梯度... 为解决在广义约束CX=D条件下矩阵方程AX=E的极小最小二乘解,提出了基于搜索方向正交与梯度投影相结合的一种迭代算法。算法的总体思路是将目标函数F(X)=‖E-AX‖^(2)在矩阵X处的负梯度投影到约束集S={X|CX=D}中获得g,然后,根据共轭梯度法的原理,通过g在可行域上构造搜索方向d,要求所有搜索方向的拉直算子vec(d)两两相互正交。定理证明了该算法对于任意一个满足一定条件的初始矩阵X 1,经过有限次迭代能够求得约束条件下方程的极小最小二乘解。数值例子验证了该算法的有效性,同时还表明算法能解决特殊约束下矩阵方程AX=E的极小最小二乘解。 展开更多
关键词 矩阵方程 极小最小二乘解 梯度投影 迭代算法
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广义约束条件下矩阵方程AXB+CYD=E最佳逼近解的迭代算法
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作者 杨家稳 孙合明 《运筹学学报(中英文)》 北大核心 2025年第4期27-47,共21页
为了求在广义约束GX=H,WY=U条件下矩阵方程AXB+CYD=E的最佳逼近解,提出了一种迭代算法。该算法思路是首先分别求出目标函数F(X,Y)=∥E−AXB−CYD∥2在矩阵X,Y处的梯度;然后将负梯度分别投影到凸约束集中得到gX和gY;最后按照共轭梯度法思想... 为了求在广义约束GX=H,WY=U条件下矩阵方程AXB+CYD=E的最佳逼近解,提出了一种迭代算法。该算法思路是首先分别求出目标函数F(X,Y)=∥E−AXB−CYD∥2在矩阵X,Y处的梯度;然后将负梯度分别投影到凸约束集中得到gX和gY;最后按照共轭梯度法思想,基于gX和gY在可行域上再构建搜索方向dX和dY。理论表明对于任给一个满足广义约束的一类特殊初始矩阵对(X^((1)),Y^((1))),算法能够在有限迭代步内得到约束条件下矩阵方程AXB+CYD=E的极小范数最小二乘解。另外通过求矩阵方程AXB+CYD=E的极小范数最小二乘解可得给定逼近矩阵对(X,Y)的最佳逼近解,其中E=E−AXB−CYD。数值例子表明该算法不仅可以解决广义约束条件下矩阵方程的最佳逼近解,也可以解决特殊约束条件下方程的最佳逼近解。 展开更多
关键词 矩阵方程 最佳逼近解 迭代算法 梯度投影 正交向量组
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基于灰度梯度共生矩阵的快速布匹瑕疵检测算法 被引量:1
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作者 叶瑞帆 刘瑜 +2 位作者 沈杰 任佳 章小祥 《电子科技》 2025年第7期58-65,共8页
针对织物质量控制的瑕疵检测方法存在模型复杂、检测速度慢等问题,文中提出一种基于灰度梯度共生矩阵(Gray-Gradient Co-Occurrence Matrix,GGCM)的快速布匹瑕疵检测算法。在传统灰度共生矩阵(Gray Level Co-occurrence Matrix,GLCM)的... 针对织物质量控制的瑕疵检测方法存在模型复杂、检测速度慢等问题,文中提出一种基于灰度梯度共生矩阵(Gray-Gradient Co-Occurrence Matrix,GGCM)的快速布匹瑕疵检测算法。在传统灰度共生矩阵(Gray Level Co-occurrence Matrix,GLCM)的基础上增添了对图像梯度信息的特征提取过程,并结合支持向量机(Support Vector Machine,SVM)对织物图像进行快速准确的检测分类。分析对比了GLCM与GGCM所提取的特征值,并使用SVM分类器检测布匹瑕疵。通过基于某纺织企业现场收集的织物图像数据集进行训练分类实验,结果表明加入梯度信息后检测效果显著提升,准确率达94.8%,精确率达93.9%。所提算法检测迅速,在提取特征后,每张图片检测仅耗时0.5 ms,适用于工业生产现场。 展开更多
关键词 布匹瑕疵检测 纹理 灰度梯度共生矩阵 灰度共生矩阵 特征值 自适应中值滤波 直方图均衡化 支持向量机
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基于WPG-KNMF的非线性动态过程监控研究
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作者 张成 邓成龙 李元 《控制理论与应用》 北大核心 2025年第3期569-578,共10页
针对非线性动态过程故障检测问题,本文提出一种基于Wasserstein距离投影梯度核非负矩阵分解(WPGKN-MF)的故障检测方法.首先,采用投影梯度方法对KNMF的基矩阵和系数矩阵进行更新.其次,在高维特征空间中,使用Wasserstein距离结合滑动窗口... 针对非线性动态过程故障检测问题,本文提出一种基于Wasserstein距离投影梯度核非负矩阵分解(WPGKN-MF)的故障检测方法.首先,采用投影梯度方法对KNMF的基矩阵和系数矩阵进行更新.其次,在高维特征空间中,使用Wasserstein距离结合滑动窗口方法,构造新的统计量进行故障检测.本文方法将KNMF中迭代方法改进为投影梯度方法,通过KNMF将数据的非线性结构捕获,并结合Wasserstein距离消除样本间自相关性影响.通过一个数值例子和基于工业控制系统执行器诊断方法的开发与应用(DAMADICS)过程的实验数据进行仿真实验,与传统核主成分分析(KPCA)、核非负矩阵分解等方法进行对比,仿真结果验证了本文所提方法的有效性. 展开更多
关键词 核非负矩阵分解 非线性过程 动态过程 投影梯度 Wasserstein距离 故障检测
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