非交换代数上的代数方程及应用

11571220
2015
A0104.群与代数的结构
王卿文
面上项目
教授
上海大学
50万元
Ore代数;非交换代数;Gröbner基;除环;代数方程
2016-01-01到2019-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 The Least Square Solution with the Least Norm to a System of Quaternion Matrix Equations 期刊论文 Qing-Wen Wang;Xiao-Xiao Yang;Shi-Fang Yuan
2 On Hayajneh and Kittaneh's conjecture on unitarily invariant norm 期刊论文 Jun-Tong Liu;Qing-Wen Wang;Fang-Fang Sun
3 The {P, Q, k+1}-Reflexive Solution to System of Matrix Equations AX = C, XB = D 期刊论文 Dong Chang-Zhou;Wang Qing-Wen
4 Optimal Bounds on Functions of Quantum States under Quantum Channels 期刊论文 Chi-Kwong Li;Diane Christine Pelejo;Kuo-Zhong Wang
5 Measurement-induced nonlocality based on Wigner-Yanase skew information 期刊论文 Li Lei;Wang Qing-Wen;Shen Shu-Qian;Li Ming
6 A note on Rotfel'd Theorem in a sector 期刊论文 S.W. Huang;Q.W. Wang
7 Inequalities on generalized matrix functions 期刊论文 S.W. Huang;C.K. Li;Y.T. Poon;Q.W. Wang
8 Algebraic conditions for the solvability to some systems of matrix equations 期刊论文 D. S. Cvetković-Ilić;J. N. Radenković;Q.W. Wang
9 Coherence measures based on coherence eigenvalue and their applications 期刊论文 Lei Li;Qing-Wen Wang;Shu-Qian Shen;Ming Li
10 Consistency of Quaternion Matrix Equations AX^star-XB=C and X-AX^star B=C 期刊论文 Xin Liu;Qing-Wen Wang;Yang Zhang
11 Products of positive semi-definite matrices 期刊论文 Jianlian Cui;Chi-Kwong Li;Nung-Sing Sze
12 Preservers of isometries 期刊论文 Dijana Ilisevic;Bojan Kuzma;Chi-Kwong Li;Edward Poon
13 Quantum-memory-assisted entropic uncertainty relations under weak measurements 期刊论文 Lei Li;Qing-Wen Wang;Shuqian Shen;Ming Li
14 Least squares solution of the quaternion Sylvester tensor equation 期刊论文 Qing-Wen Wang;Xiangjian Xu;Xuefeng Duan
15 Numerical range, dilation, and completely positive maps 期刊论文 CHI-KWONG LI;YIU-TUNG POON
16 Factoring a Quadratic Operator as a Product of Two Positive Contractions 期刊论文 Chi-Kwong Li;Ming-Cheng Tsai
17 Ranks of quantum states with prescribed reduced states 期刊论文 Chi-Kwong Li;Yiu-Tung Poon;Xuefeng Wang
18 Polytopes of stochastic tensors 期刊论文 HAIXIA CHANG;VEHBI E. PAKSOY;FUZHEN ZHANG
19 Preservation of the joint essential matricial range 期刊论文 Chi-Kwong Li;Vern I. Paulsen;Yiu-Tung Poon
20 Extending BiCG and BiCR methods to solve the Stein tensor equation 期刊论文 Xiangjian Xu;Qing-Wen Wang
21 Product of two positive contractions 期刊论文 Chi-Kwong Li;Diane Christine Pelejo;Kuo-Zhong Wang
22 A system of quaternary coupled Sylvester-type real quaternion matrix equations 期刊论文 Zhuo-Heng He;Qing-Wen Wang;Yang Zhang
23 An extension of Harnack type determinantal inequality 期刊论文 Minghua Lin;Fuzhen Zhang
24 A System of periodic discrete-time coupled Sylvester quaternion matrix equations 期刊论文 Z.H. He;Q.W. Wang
25 Interpretation of generalized matrix functions via geometric measure of quantum entanglement 期刊论文 Haixia Chang;Vehbi E. Paksoy;Fuzhen Zhang
26 The common solution of some matrix equations 期刊论文 Wang Li;Wang Qingwen;He Zhuoheng
27 The complete equivalence canonical form of four matrices over an arbitrary division ring 期刊论文 Zhuo-Heng He;Qing-Wen Wang;Yang Zhang
28 Determinant inequalities involving Hadamard product of positive definite matrices 期刊论文 J.T. Liu;Q.W. Wang;F.F. Sun
29 Unitary similarity invariant function preservers of skew products of operators 期刊论文 JIANLIAN CUI;CHI-KWONG LI;NUNG-SING SZE
30 Interpretation of generalized matrix functions via geometric measure of quantum entanglement 期刊论文 H.X. Chang;V.E. Paksoy;Fuzhen Zhang
31 Quantifying the coherence of pure quantum states 期刊论文 Jianxin Chen;Shane Grogan;Nathaniel Johnston;Chi-Kwong Li;Sarah Plosker
32 A system of matrix equations with five variables 期刊论文 Rehman Abdur;Wang Qing-Wen
33 On Hermitian Solutions of the Split Quaternion Matrix Equation AXB plus CXD = E 期刊论文 Yuan Shi-Fang;Wang Qing-Wen;Yu Yi-Bin;Tian Yong
34 Iterative algorithms for solving some tensor equations 期刊论文 Qing-Wen Wang;Xiangjian Xu
35 A Constraint System of Generalized Sylvester Quaternion Matrix Equations 期刊论文 Rehman Abdur;Wang Qing-Wen;Ali Ilyas;Akram Muhammad;Ahmad M. O.
36 Cramer's rule for a system of quaternion matrix equations with applications 期刊论文 Guang-Jing Song;Qing-Wen Wang;Shao-Wen Yu
37 Numerical ranges of the product of operators 期刊论文 Hongke Du;Chi-Kwong Li;Kuo-Zhong Wang;Yueqing Wang;Ning Zuo
38 Submultiplicativity of the numerical radius of commuting matrices of order two 期刊论文 Chi-Kwong Li;Yiu-Tung Poon
39 Geometric measure of quantum discord with weak measurements 期刊论文 Li Lei;Wang Qing-Wen;Shen Shu-Qian;Li Ming
40 Constraint generalized Sylvester matrix equations 期刊论文 Qing-Wen Wang;Abdur Rehman;Zhuo-Heng He
41 A simultaneous decomposition for seven matrices with application 期刊论文 Zhuo-Heng He;Qing-Wen Wang;Yang Zhang
42 A system of matrix equations over the quaternion algebra with applications 期刊论文 X.R. Nie;Q.W. Wang;Y. Zhang
43 Bounds on probability of state transfer with respect to readout time and edge weight 期刊论文 Whitney Gordon;Steve Kirkland;Chi-Kwong Li;Sarah Plosker;Xiaohong Zhang
44 Uncertainty relation on generalized skew information with a monotone pair 期刊论文 J.T. Liu;Q.W. Wang;L. Li
45 Parallel distinguishability of quantum operations 期刊论文 R.Y. Duan;C.G. Guo;C.K. Li;Y.N. Li
46 Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices 期刊论文 Zhuo-Heng He;Oscar Mauricio Agudelo;Qing-Wen Wang;Bart De Moor
47 On the solutions of two systems of quaternion matrix equations 期刊论文 Farid O. Farid;Xiang-Rong Nie;Qing-Wen Wang
48 The least squares Hermitian (anti)reflexive solution with the least norm to matrix equation AXB=C 期刊论文 X. Liu;Q.W. Wang
49 A generalized Holder type eigenvalue inequality 期刊论文 J.T. Liu;Y.T. Poon;Q.W. Wang
50 Enumerating extreme points of the polytopes of stochastic tensors: an optimization approach 期刊论文 Fuzhen Zhang;Xiao-Dong Zhang
51 Structure, Properties and Applications of Some Simultaneous Decompositions for Quaternion Matrices Involving phi-Skew-Hermicity 期刊论文 Zhuo-Heng He
52 The consistency and the exact solutions to a system of matrix equations 期刊论文 F.O. Farid;He Zhuo-Heng;Wang Qing-Wen
53 Connection of coherence measure and unitary evolutions 期刊论文 Lei Li;Shu-Qian Shen;Ming Li;Qing-Wen Wang
54 Infinite Matrices and Their Recent Applications 专著 P.N. Shivakumar;K.C. Sivakumar;Yang Zhang
55 Evaluating the robustness of k-coherence and k-entanglement 期刊论文 Nathaniel Johnston;Chi-Kwong Li;Sarah Plosker;Yiu-Tung Poon;Bartosz Regula
56 Simultaneous decomposition of quaternion matrices involving η-Hermicity with applications 期刊论文 Z.H. He;Q.W. Wang;Y. Zhang
57 The modified trace distance of coherence is constant on most pure states 期刊论文 Pan-Shun Lau;Chi-Kwong Li;Yiu-Tung Poon;Nung-Sing Sze
58 Weighted pseudo core inverses in rings 期刊论文 Huihui Zhu;Qing-Wen Wang
59 More Inequalities for Sector Matrices 期刊论文 Jun-Tong Liu;Qing-Wen Wang
60 Constrained two-sided coupled Sylvester-type quaternion matrix equations 期刊论文 Qing-Wen Wang;Zhuo-Heng He;Yang Zhang
61 Inference for Type II bivariate Polya-Aeppli distribution 期刊论文 Yangyang Qin;Kai Liu;Reem Al-Jarallah;N. Balakrishnan
62 On positive definite solutions of the nonlinear matrix equations X +/- AX(q)A = Q 期刊论文 Li Lei;Wang Qing-Wen;Shen Shu-Qian
63 Equivalence on some Rotfel'd type theorems 期刊论文 Shaowu Huang;Qing-Wen Wang;Yang Zhang
64 Gelfand-Kirillov dimension of generalized Weyl algebras 期刊论文 Xiangui Zhao;Qiuhui Mo;Yang Zhang
65 Convexity and star-shapedness of matricial range 期刊论文 Pan-Shun Lau;Chi-Kwong Li;Yiu-Tung Poon;Nung-Sing Sze
66 Least squares X=+/- X-eta solutions to split quaternion matrix equation AXA(eta)=B 期刊论文 Xin Liu;Yang Zhang
67 The General Solution to a System of Coupled Sylvester-Type Quaternion Tensor Equations Involving eta-Hermicity 期刊论文 Zhuo-Heng He
68 On the number of vertices of the stochastic tensor polytope 期刊论文 Zhongshan Li;Fuzhen Zhang;Xiao-Dong Zhang
69 The generalized numerical range of a set of matrices 期刊论文 Pan-Shun Lau;Chi-Kwong Li;Yiu-Tung Poon;Nung-Sing Sze
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