NONSINGULARITY

作品数：13被引量：11H指数：2
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Nonsingularity of grain-like cascade feedback shift registers subject to fault attacks
《Science China(Information Sciences)》2024年第9期180-191,共12页Haitao LI Zhaoqi LIU Wenrong LI 
supported by National Natural Science Foundation of China(Grant No.62073202);Young Experts of Taishan Scholar Project(Grant No.tsqn201909076)。
Feedback shift registers(FSRs)are pivotal in generating pseudorandom sequences for stream ciphers and play a crucial role in error detection and code correction.This paper investigates the resilience of grain-like cas...
关键词：grain-like cascade feedback shift register fault attack NONSINGULARITY semi-tensor product 
Base placement optimization of a mobile hybrid machining robot by stiffness analysis considering reachability and nonsingularity constraints
《Chinese Journal of Aeronautics》2023年第11期398-416,共19页Zhongyang ZHANG Juliang XIAO Haitao LIU Tian HUANG 
supported by National Natural Science Foundation of China(Nos.91948301,52175025 and 51721003).
The mobile hybrid machining robot has a very bright application prospect in the field of high-efficiency and high-precision machining of large aerospace structures.However,an inappropriate base placement may make the ...
关键词：Aerospace industry Base placement optimization Hybrid machining robot Mobile robot Robot application Singularity avoidance Stiffness optimization 
Nonsingularity of Feedback Shift Registers of Degree at Most Three over a Finite Field
《Chinese Journal of Electronics》2021年第2期232-237,共6页LIU Junying JIANG Yupeng ZHENG Qunxiong LIN Dongdai 
supported by the National Natural Science Foundation of China(No.11701553,No.61872358,No.61872359);the National Postdoctoral Program for Innovative Talents(No.BX201600188);the National Science Foundation for Post-doctoral Scientists of China(No.2017M611035);Young Elite Scientists Sponsorship Program by CAST(No.2016QNRC001)。
As a kind of generators of pseudorandom sequences,the Feedback shift register(FSR)is widely used in channel coding,cryptography and digital communication.A necessary and sufficient condition for the nonsingularity of ...
关键词：Feedback shift register(FSR) NONSINGULARITY Permutation polynomial CYCLOTOMY Quadratic form 
Nonsingularity of Grain-like cascade FSRs via semi-tensor product被引量：2
《Science China(Information Sciences)》2018年第1期54-65,共12页Jianquan LU Meilin LI Yang LIU Daniel W.C.HO Jurgen KURTHS 
supported by National Natural Science Foundation of China(Grant Nos.61573102,11671361);Natural Science Foundation of Jiangsu Province of China(Grant No.BK20170019);Jiangsu Provincial Key Laboratory of Networked Collective Intelligence(Grant No.BM2017002);China Postdoctoral Science Foundation(Grant Nos.2014M560377,2015T80483);Jiangsu Province Six Talent Peaks Project(Grant No.2015-ZNDW-002);Fundamental Research Funds for the Central Universities
In this paper, Grain-like cascade feedback shift registers（FSRs） are regarded as two Boolean networks（BNs）, and the semi-tensor product（STP） of the matrices is used to convert the Grain-like cascade FSRs into an...
关键词：Grain-like cascade FSRs Boolean control networks Boolean networks semi-tensor product NONSINGULARITY 
On Nonsingularity and Group Inverse of Linear Combinations of Generalized and Hypergeneralized Projectors
《Wuhan University Journal of Natural Sciences》2014年第6期469-476,共8页CHEN Yinlan ZUO Kezheng XIE Tao 
Supported by the National Natural Science Foundation of China(11271105);the Key Research Project of Educational Department of Hubei Province(D20122202);Youth Research Project of Educational Department of Hubei Province(B20122203)
In this paper, some conditions for the nonsingularity and group inverses of linear combinations of generalized and hypergeneralized projectors are established. Moreover, some formulae for the inverses and group invers...
关键词：inverse group inverse generalized projectors hypergeneralized projectors 
Nonsingularity of the Combinations of Two Orthogonal Projectors被引量：3
《Wuhan University Journal of Natural Sciences》2012年第1期7-11,共5页ZUO Kezheng XIE Tao 
Supported by the Hubei Normal University Research Grant (2008D54)
The invertibility of combinations of two orthogonal projectors aP ＋ bQ - cPQ - dQP is researched by using the CSdecomposition of matrices and properties of orthogonal projectors. The Moore-enrose inverse of the combi...
关键词：combinations of two orthogonal projectors CS- decomposition principal angles 
AN EQUIVALENCY CONDITION OF NONSINGULARITY IN NONLINEAR SEMIDEFINITE PROGRAMMING
《Journal of Systems Science & Complexity》2010年第4期822-829,共8页Chengjin LI Wenyu SUN Raimundo J. B. de SAMPAIO 
supported by the National Natural Science Foundation of China under Grant No. 10871098;the Natural Science Fund of Jiangsu Province under Grant No. BK2009397;the Innovation Fund of Youth of Fujian Province under Grant No. 2009J05003 and CNPq Brazil
In this paper,an equivalency condition of nonsingularity in nonlinear semidefinite programming,which can be viewed as a generalization of the equivalency condition of nonsingularity for linearsemidefinite programming,...
关键词：Equivalency condition of nonsingularity nonlinear semidefinite programming semidefinite programming. 
Nonsingularity in two-dimensional cylindrical invisible cloaks
《Chinese Physics B》2010年第6期293-296,共4页王新华 屈绍波 夏颂 王斌科 徐卓 马华 王甲富 顾超 吴翔 鲁磊 周航 
Project supported partly by the National Natural Science Foundation of China (Grant Nos.50632030,10474077,and 60871027);partly by the National Basic Research Program of China (Grant No.2009CB613306);partly by the Natural Science Foundation of Shaanxi Province,China (Grant No.SJ08F01)
The method of designing electromagnetic invisible cloaks is usually based on the form-invariance of Maxwell＇s equations in coordinate transformation. The exterior boundary of a cylindrical invisible cloak is unchange...
关键词：invisible cloak arbitrary shapes SINGULARITY constitutive material parameters 
Nonsingularity in second-order cone programming via the smoothing metric projector被引量：1
《Science China Mathematics》2010年第4期1025-1038,共14页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 
supported by National Natural Science Foundation of China (Grant Nos.10771026,10901094);the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry of 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...
关键词：second-order cone programming problem SMOOTHING METRIC PROJECTOR B-subdifferential Clarke’s generalized JACOBIAN SMOOTHING Newton method 
Nonsingularity on Level-k (r_1, r_2,…, r_k)-circulant Matrices of Type (n_1, n_2,…, n_k)
《Chinese Quarterly Journal of Mathematics》1997年第4期79-86, ,共8页江兆林 郭运瑞 李洪杰 
In this paper,it is given that the new equivalent definition of level-k (r1,r2, …,rk)-cir culant matrices of type (n1,n2,…,nk) in [1] and we give the explicit expression of its the eigenval ues and four methods of d...
关键词：level-k (r_1  r_2  …  r_k)-circulant matrices of type(n_1  n_2 …  n_k) NONSINGULARITY 
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