Zmin上秩-1矩阵的周长不等式及线性保持算子

Journal of Jilin University Science Edition

Previous Articles Next Articles

Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min

ZHANG Tinghai¹, DENG Zhongshu²

1. College of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China；2. Editorial Department of Journal, Nanchang University, Nanchang 330047, China

Received:2015-03-16 Online:2015-11-26 Published:2015-11-23
Contact: ZHANG Tinghai E-mail:tinghaizh@163.com

Abstract

Abstract:

Based on the preserving properties of the perimeter of Boolean rank1 matrices and the equivalence of the dominating relation bet
ween matrices over Boolean algebra B andZ_min, the inequality on the perimeter of the sum of two rank1 matrices over Z_min and the linear operator of preserving the rank and perimeter. At last it get the properties of preserving the rank and perimeter 2 of rank1 matrices over Z_min.

Key words: rank-1 matrix, perimeter, dominate, pattern, (U,V)operator

CLC Number:

O151.21

ZHANG Tinghai, DENG Zhongshu. Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min[J].Journal of Jilin University Science Edition, 2015, 53(06): 1081-1085.

[1]	HU Huangshui, QI Xingshuo, WANG Chuhang, WANG Ling. Multi-scale Facial Expression Recognition Method Based on Extended Local Binary Pattern [J]. Journal of Jilin University Science Edition, 2025, 63(5): 1427-1436.
[2]	CHEN Meng, LIU Jingdan, LU Yang. Feature Fusion Algorithm Based on LPQ and NLBP and Its Application [J]. Journal of Jilin University Science Edition, 2025, 63(4): 1122-1136.
[3]	JING Zhengqi, LU Yanqiong. Existence of Positive Solutions for a Class of Discrete Beam Equations with Nonlinear Boundary Conditions [J]. Journal of Jilin University Science Edition, 2022, 60(4): 767-774.
[4]	YANG Bo, ZHANG Lina, HAN Xiaosong. Feature Extraction Method of Intestinal Tumor Images Based on LBP and GLCM [J]. Journal of Jilin University Science Edition, 2022, 60(4): 911-918.
[5]	REN Weijian, LIU Zeyu, HUO Fengcai, KANG Chaohai, REN Lu, ZHANG Yongfeng. An Improved Superpixel Segmentation Algorithm of Multi-spectral Remote Sensing Images [J]. Journal of Jilin University Science Edition, 2022, 60(2): 351-360.
[6]	ZHANG Zhen, ZHANG Zhaoqi, ZHU Liucun, LIU Jichen, WEI Jinzhan, CAI Xuhang, ZHAO Chenglong. A Fast Algorithm for Feature Matching and Target Location Based on Shi-Tomasi and Improved LBP [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1171-1178.
[7]	ZHANG Zhen, ZHANG Zhaoqi, ZHU Liucun, MIAO Zhibin, WANG Jiyue, LI Xiuming, ZHAO Chenglong, ZHANG Kunlun. Feature Matching and Target Location Algorithm Based on Harris Improved LBP [J]. Journal of Jilin University Science Edition, 2021, 59(3): 568-576.
[8]	CHEN Jing, TANG Aotian, LIU Zhen, XU Sen, CAO Xiaocong. A Multi-objective Particle Swarm Optimization Algorithm Based on Kriging Model Infilling Strategy [J]. Journal of Jilin University Science Edition, 2020, 58(5): 1159-1166.
[9]	ZHANG Jianying, YAN Guangwu. Lattice Boltzmann Simulations for Turing Pattern on Sphere [J]. Journal of Jilin University Science Edition, 2019, 57(2): 295-299.
[10]	YUAN Zhe, SUN Yanjun, CHEN Liang. ComputerGenerated Image Recognition Algorithm Based onImproved Local Binary Pattern and Gradient Features [J]. Journal of Jilin University Science Edition, 2019, 57(06): 1437-1441.
[11]	CUI Kai, CAI Hua, CHEN Guangqiu, GU Xinchao, SUN Junxi. Multiview Face Detection Algorithm Based on Multitexture CS-LBP Features [J]. Journal of Jilin University Science Edition, 2018, 56(3): 610-616.
[12]	ZHANG Daoxiang, SUN Guangxun, XU Mingli, CHEN Jinqiong, ZHOU Wen. Spatial Dynamics in PredatorPrey System withTime Delay and Nonlinear Harvesting Effect [J]. Journal of Jilin University Science Edition, 2018, 56(3): 515-522.
[13]	JIANG Enhua, DOU Dezhao, ZHAO Qingping. Decoding of Linear Block Code Based on Compressive Sensing Theory [J]. Journal of Jilin University Science Edition, 2017, 55(04): 994-1000.
[14]	ZHANG Daoxiang, ZHAO Lixian, SUN Guangxun, ZHOU Wen, YU Yan. Spatial Turing Pattern of a Class of Two DimensionalSystem with Negative CrossDiffusion [J]. Journal of Jilin University Science Edition, 2017, 55(03): 537-546.
[15]	LI Yanan, WU Junnan, GAO Yunhang, GAO Qiang, LIU Shuxia. Effects of Fluorescence Characteristics on Water Extractable OrganicMatter in Soda Saline-Alkali Soil under Different Land Use Patterns [J]. Journal of Jilin University Science Edition, 2017, 55(03): 733-738.

Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10

Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Zmin

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 10

Perimeter Inequality and LinearPreserving Operators ofRank-1 Matrices over Z_min