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## Li, Chi-Kwong

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 Author ID: li.chi-kwong Published as: Li, C.; Li, C. K.; Li, C.-K.; Li, Chen Kuan; Li, Chen-Kuan; Li, Chenkuan; Li, Chi Kwong; Li, Chi-Kwong; Li, Chi-kwong; Li, Chikwong Homepage: http://people.wm.edu/~cklixx/ External Links: MGP · Wikidata · dblp
 Documents Indexed: 362 Publications since 1984, including 6 Books
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#### Co-Authors

 32 single-authored 53 Poon, Yiu-Tung 48 Sze, Nung-Sing 32 Tsing, Nam-Kiu 28 Rodman, Leiba X. 15 Mathias, Roy 11 Poon, Edward 9 Cheung, Waishun 8 Huang, Zejun 8 Šemrl, Peter 7 Choi, Man-Duen 7 Cui, Jianlian 6 Bebiano, Natália Isabel Quadros 6 Kuzma, Bojan 6 Pelejo, Diane Christine P. 6 Pierce, Stephen J. 5 da Providência Santarém e Costa, João 5 Horn, Roger Alan 5 Hou, Jinchuan 5 Schneider, Hans 5 Tam, Tin-Yau 5 Wang, Kuo-Zhong 4 Chan, Jorting 4 Cheng, Cheman 4 Chiang, Hanley 4 Clark, Sean 4 Fošner, Ajda 4 Gau, Hwa-Long 4 Johnson, Charles Royal 4 Merino, Dennis I. 4 Milligan, Thomas 4 Nakahara, Mikio 4 Wang, Xuefeng 4 Zaharia, Alexandru 3 Ando, Tsuyoshi 3 Ilišević, Dijana 3 Lau, Pan-Shun 3 Lešnjak, Gorazd 3 Mehta, Paras P. 3 Petek, Tatjana 3 Schreiber, Sebastian J. 3 So, Wasin 3 Spitkovsky, Ilya Matvey 3 Tam, Bitshun 3 Tsai, Ming Cheng 3 Woerdeman, Hugo Jan 3 Wong, Ngaiching 3 Zhang, Fuzhen 2 Bai, Zhongzhi 2 Binding, Paul Anthony 2 Bolotnikov, Vladimir 2 Chang, Stanley S. 2 Chau, Hoi Fung 2 Đoković, Dragomir Ž. 2 Fallat, Shaun M. 2 Fonseca, Carlos M. 2 Forstall, Virginia 2 Friedland, Shmuel 2 Fung, Chi-Hang Fred 2 Furtado, Susana 2 Golub, Gene Howard 2 Guralnick, Robert Michael 2 Herman, Aaron 2 Kovačec, Alexander 2 Li, Rencang 2 Li, Sharon H. 2 Qi, Xiaofei 2 Rastogi, Ashwin 2 Sourour, Ahmed Ramzi 2 Stanford, David P. 2 Strang, William Gilbert 2 Tomita, Hiroyuki 2 van den Driessche, Pauline 2 Wang, Ya-Shu 2 Wong, Wing-Keung 2 Wu, Peiyuan 2 Yannello, Vincent 1 Albert, Chase 1 Alizadeh, Rahim 1 Alwill, Michael 1 Asadi, Mohammad B. 1 Au-Yeung, Yik-Hoi 1 Beasley, LeRoy B. 1 Bhatia, Rajendra 1 Botelho-Andrade, Sara 1 Brualdi, Richard Anthony 1 Chau, Hiu Fai 1 Chen, Jianxin 1 Cheng, Yuan 1 Chien, Mao-Ting 1 Chu, Sidney C. K. 1 Coleman, Todd P. 1 Crowder, Tanner 1 Curtis, Frank E. 1 Davis, Chandler 1 Ding, Wenxuan 1 Dobovišek, Mirko 1 Drew, John H. 1 Drusvyatskiy, Dmitriy 1 Du, Hongke 1 Duffner, Maria Antónia ...and 90 more Co-Authors
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#### Serials

 90 Linear Algebra and its Applications 79 Linear and Multilinear Algebra 19 SIAM Journal on Matrix Analysis and Applications 17 ELA. The Electronic Journal of Linear Algebra 14 Proceedings of the American Mathematical Society 10 Journal of Mathematical Analysis and Applications 7 Canadian Mathematical Bulletin 7 Operators and Matrices 6 Canadian Journal of Mathematics 5 Bulletin of the Australian Mathematical Society 5 Rocky Mountain Journal of Mathematics 4 Journal of Operator Theory 4 Journal of Physics A: Mathematical and Theoretical 3 American Mathematical Monthly 3 Journal of Mathematical Physics 3 Studia Mathematica 3 Journal of Functional Analysis 3 Mathematical Inequalities & Applications 3 Journal of the Australian Mathematical Society 2 International Journal of Mathematical Education in Science and Technology 2 Mathematics of Computation 2 Acta Scientiarum Mathematicarum 2 SIAM Review 2 Taiwanese Journal of Mathematics 2 Quantum Information Processing 2 International Journal of Quantum Information 1 Discrete Mathematics 1 Journal of Mathematical Biology 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Mathematics Magazine 1 American Journal of Mathematics 1 Archiv der Mathematik 1 BIT 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series A 1 Numerische Mathematik 1 Tamkang Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Southeast Asian Bulletin of Mathematics 1 SIAM Journal on Discrete Mathematics 1 Economics Letters 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 Bulletin of the Institute of Combinatorics and its Applications 1 Integral Transforms and Special Functions 1 Positivity 1 Novi Sad Journal of Mathematics 1 Journal of Inequalities and Applications 1 The Asian Journal of Mathematics 1 New Journal of Physics 1 RAIRO. Operations Research 1 Communications in Mathematical Sciences 1 Journal of Biological Dynamics 1 Banach Journal of Mathematical Analysis 1 Quantum Information & Computation 1 Textos de Matemática 1 Advances in Operator Theory
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#### Fields

 271 Linear and multilinear algebra; matrix theory (15-XX) 80 Operator theory (47-XX) 29 Quantum theory (81-XX) 24 Functional analysis (46-XX) 18 Numerical analysis (65-XX) 17 Combinatorics (05-XX) 12 Group theory and generalizations (20-XX) 8 Information and communication theory, circuits (94-XX) 5 General and overarching topics; collections (00-XX) 5 Convex and discrete geometry (52-XX) 5 Biology and other natural sciences (92-XX) 4 History and biography (01-XX) 4 Geometry (51-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Probability theory and stochastic processes (60-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Operations research, mathematical programming (90-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

285 Publications have been cited 2,998 times in 1,711 Documents Cited by Year
Linear preserver problems: A brief introduction and some special techniques. Zbl 0762.15016
Li, Chi-Kwong; Tsing, Nam-Kiu
1992
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
2007
Linear preserver problems. Zbl 0991.15001
Li, Chi-Kwong; Pierce, Stephen
2001
Optimal parameter in Hermitian and skew-Hermitian splitting method for certain two-by-two block matrices. Zbl 1116.65039
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
2006
Geometric means. Zbl 1063.47013
Ando, T.; Li, Chi-Kwong; Mathias, Roy
2004
Some general techniques on linear preserver problems. Zbl 0964.15004
Guterman, Alexander; Li, Chi-Kwong; Šemrl, Peter
2000
Applications of Perron-Frobenius theory to population dynamics. Zbl 1015.91059
Li, Chi-Kwong; Schneider, Hans
2002
$$C$$-numerical ranges and $$C$$-numerical radii. Zbl 0814.15022
Li, Chi-Kwong
1994
Numerical range of matrix polynomials. Zbl 0814.15023
Li, Chi-Kwong; Rodman, Leiba
1994
Mappings preserving spectra of products of matrices. Zbl 1113.15002
Chan, Jor-Ting; Li, Chi-Kwong; Sze, Nung-Sing
2007
Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations. Zbl 1152.15027
Li, Chi-Kwong; Sze, Nung-Sing
2008
Maps preserving product $$XY -YX^*$$ on factor von Neumann algebras. Zbl 1183.47031
Cui, Jianlian; Li, Chi-Kwong
2009
A note on extreme correlation matrices. Zbl 0804.15011
Li, Chi-Kwong; Tam, Bit-Shun
1994
On the evolution of dispersal in patchy landscapes. Zbl 1100.39011
Kirkland, Stephen; Li, Chi-Kwong; Schreiber, Sebastian J.
2006
Jordan isomorphisms and maps preserving spectra of certain operator products. Zbl 1134.47028
Hou, Jinchuan; Li, Chi-Kwong; Wong, Ngai-Ching
2008
Convexity of the joint numerical range. Zbl 0945.15019
Li, Chi-Kwong; Poon, Yiu-Tung
2000
Maps preserving the nilpotency of products of operators. Zbl 1124.47026
Li, Chi-Kwong; Šemrl, Peter; Sze, Nung-Sing
2007
Mappings on matrices: invariance of functional values of matrix products. Zbl 1110.15005
Chan, Jor-Ting; Li, Chi-Kwong; Sze, Nung-Sing
2006
Li, Chikwong; Tam, Tinyau; Tsing, Namkiu
1984
Maps preserving the spectrum of generalized Jordan product of operators. Zbl 1185.47036
Hou, Jinchuan; Li, Chi-Kwong; Wong, Ngai-Ching
2010
$$G$$-invariant norms and bicircular projections. Zbl 1110.15025
Fošner, Maja; Ilišević, Dijana; Li, Chi-Kwong
2007
A simple proof of the elliptical range theorem. Zbl 0857.15020
Li, Chi-Kwong
1996
G-invariant norms and G(c)-radii. Zbl 0722.15027
Li, Chi-Kwong; Tsing, Nam-Kiu
1991
Linear-operators preserving unitarily invariant norms of matrices. Zbl 0691.15006
Li, Chi-Kwong; Tsing, Nam-Kiu
1990
Joint ranges of Hermitian matrices and simultaneous diagonalization. Zbl 0724.15020
Binding, Paul; Li, Chi-Kwong
1991
c-convex matrices: Characterizations, inclusion relations and normality. Zbl 0686.15010
Li, Chi-Kwong; Sung, Chen-Han; Tsing, Nam-Kiu
1989
Linear operators that preserve the c-numerical range or radius of matrices. Zbl 0642.15006
Li, Chi-Kwong; Tsing, Nam-Kiu
1988
Condition for the higher rank numerical range to be non-empty. Zbl 1172.15014
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2009
A note on eigenvalues of perturbed Hermitian matrices. Zbl 1068.15027
Li, Chi-Kwong; Li, Ren-Cang
2005
Matrices with some extremal properties. Zbl 0659.15018
Li, Chi-Kwong
1988
Duality between some linear preserver problems. II: Isometries with respect to c-spectral norms and matrices with fixed singular values. Zbl 0655.15026
Li, Chi-Kwong; Tsing, Nam-Kiu
1988
Mappings that preserve pairs of operators with zero triple Jordan product. Zbl 1130.15002
Dobovišek, M.; Kuzma, B.; Lešnjak, G.; Li, C. K.; Petek, T.
2007
Eigenvalues, singular values, and Littlewood-Richardson coefficients. Zbl 1072.15010
Fomin, Sergey; Fulton, William; Li, Chi-Kwong; Poon, Yiu-Tung
2005
The numerical range of a nonnegative matrix. Zbl 1003.15027
Li, Chi-Kwong; Tam, Bit-Shun; Wu, Pei Yuan
2002
Extremal characterizations of the Schur complement and resulting inequalities. Zbl 0948.15017
Li, Chi-Kwong; Mathias, Roy
1998
Some aspects of the theory of norms. Zbl 0814.15021
Li, Chi-Kwong
1994
Duality between some linear preservers problems: The invariance of the C- numerical range, the C-numerical radius and certain matrix sets. Zbl 0668.15014
Li, Chi-Kwong; Tsing, Nam-Kiu
1988
Maps preserving peripheral spectrum of Jordan products of operators. Zbl 1258.47054
Cui, Jianlian; Li, Chi-Kwong
2012
Generalized numerical ranges and quantum error correction. Zbl 1261.47012
Li, Chi-Kwong; Poon, Yiu-Tung
2011
Numerical ranges of an operator on an indefinite inner product space. Zbl 0851.15018
Li, Chi-Kwong; Tsing, Nam-Kui; Uhlig, Frank
1996
A generalized numerical range: The range of a constrained sesquilinear form. Zbl 0819.15018
Li, Chi-Kwong; Mehta, Paras P.; Rodman, Leiba
1994
Miscellaneous preserver problems. Zbl 0767.15006
Beasley, LeRoy B.; Li, Chi-Kwong; Pierce, Stephen
1992
The automorphism group of separable states in quantum information theory. Zbl 1316.81014
Friedland, Shmuel; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2011
Linear operators preserving directional majorization. Zbl 0999.15030
Li, Chi-Kwong; Poon, Edward
2001
The C-convex matrices. Zbl 0635.15025
Li, Chi-Kwong
1987
Linear operators preserving the higher numerical radius of matrices. Zbl 0622.15017
Li, Chi-Kwong
1987
$$C^*$$-isomorphisms, Jordan isomorphisms, and numerical range preserving maps. Zbl 1123.47032
Gau, Hwa-Long; Li, Chi-Kwong
2007
Linear maps on selfadjoint operators preserving invertibility, positive definiteness, numerical range. Zbl 1056.47018
Li, Chi-Kwong; Rodman, Leiba; Šemrl, Peter
2003
Linear transformations between matrix spaces that map one rank specific set into another. Zbl 1022.15001
Li, Chi-Kwong; Rodman, Leiba; Šemrl, Peter
2002
Some results on the $$q$$-numerical range. Zbl 0899.15017
Li, Chi-Kwong; Nakazato, Hiroshi
1998
The c-spectral, c-radial and c-convex matrices. Zbl 0612.15016
Li, Chi-Kwong
1987
Properties and preservers of the pseudospectrum. Zbl 1245.15028
Cui, Jianlian; Forstall, Virginia; Li, Chi-Kwong; Yannello, Vincent
2012
Linear operators preserving certain equivalence relations on matrices. Zbl 0724.15007
Horn, Roger A.; Li, Chi-Kwong; Tsing, Nam-Kiu
1991
Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector. Zbl 1307.15029
Li, Chi-Kwong; Sze, Nung-Sing
2014
Pseudospectra of special operators and pseudospectrum preservers. Zbl 1357.47007
Cui, Jianlian; Li, Chi-Kwong; Poon, Yiu-Tung
2014
Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms. Zbl 1314.11038
Knightly, A.; Li, C.
2013
Linear preservers and quantum information science. Zbl 1290.15017
Fošner, Ajda; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2013
The Lidskii-Mirsky-Wielandt theorem – additive and multiplicative versions. Zbl 0922.15010
Li, Chi-Kwong; Mathias, Roy
1999
Remarks on numerical ranges of operators in spaces with an indefinite metric. Zbl 0897.15012
Li, Chi-Kwong; Rodman, Leiba
1998
Graphs associated with matrices over finite fields and their endomorphisms. Zbl 1288.05158
Huang, Li-Ping; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2014
On the kth matrix numerical range. Zbl 0717.15018
Li, Chi-Kwong; Tsing, Nam-Kiu
1991
Duality between some linear preserver problems. III: c-spectral norms and (skew)-symmetric matrices with fixed singular values. Zbl 0712.15028
Li, Chi-Kwong; Tsing, Nam-Kiu
1991
Linear transformations on $$M_ n({\mathbb{R}})$$ that preserve the Ky Fan k- norm and a remarkable special case when $$(n,k)=(4,2)$$. Zbl 0658.15029
Johnson, Charles R.; Laffey, Thomas; Li, Chi-Kwong
1988
Linear operators preserving the numerical radius of matrices. Zbl 0627.15010
Li, Chikwong
1987
Interpolation by completely positive maps. Zbl 1236.15004
Li, Chi-Kwong; Poon, Yiu-Tung
2011
Davis–Wielandt shells of operators. Zbl 1176.47010
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2008
Higher rank numerical ranges and low rank perturbations of quantum channels. Zbl 1151.47008
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2008
Polynomial numerical hulls of matrices. Zbl 1130.15017
Davis, Chandler; Li, Chi-Kwong; Salemi, Abbas
2008
Multiplicative preservers on semigroups of matrices. Zbl 1025.15001
Cheung, Wai-Shun; Fallat, Shaun; Li, Chi-Kwong
2002
Orthogonality of matrices. Zbl 1003.15028
Li, Chi-Kwong; Schneider, Hans
2002
Induced operators on symmetry classes of tensors. Zbl 0984.15025
Li, Chi-Kwong; Zaharia, Alexandru
2002
Constrained unitary dilations and numerical ranges. Zbl 0996.47003
Choi, Man-Duen; Li, Chi-Kwong
2001
Shapes and computer generation of numerical ranges of Krein space operators. Zbl 0905.47027
Li, Chi-Kwong; Rodman, Leiba
1998
Matrices with circular symmetry on their unitary orbits and C-numerical ranges. Zbl 0719.15017
Li, Chi-Kwong; Tsing, Nam-Kiu
1991
Higher rank numerical ranges of normal matrices. Zbl 1223.15032
Gau, Hwa-Long; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2011
Preservers for norms of Lie product. Zbl 1181.15031
Li, Chi-Kwong; Poon, Edward; Sze, Nung-Sing
2009
The joint essential numerical range of operators: convexity and related results. Zbl 1178.47001
Li, Chi-Kwong; Poon, Yiu-Tung
2009
Unitarily invariant metrics on the Grassmann space. Zbl 1099.15024
Qiu, Li; Zhang, Yanxia; Li, Chi-Kwong
2005
A class of unitarily invariant norms on $$B(H)$$. Zbl 0963.47013
Chan, Jor-Ting; Li, Chi-Kwong; Tu, Charlies C. N.
2001
Numerical ranges and dilations. Zbl 0952.47005
Choi, Man-Duen; Li, Chi-Kwong
2000
A note on convex stochastic dominance. Zbl 0917.90019
Wong, Wing-Keung; Li, Chi-Kwong
1999
Invertible preservers and algebraic groups. III: Preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups. Zbl 0889.20027
Guralnick, Robert M.; Li, Chi-Kwong
1997
Linear operators preserving similarity classes and related results. Zbl 0809.15014
Li, Chi-Kwong; Pierce, Stephen
1994
Norms that are invariant under unitary similarities and the C-numerical radii. Zbl 0712.15029
Li, Chi-Kwong; Tsing, Nam-Kiu
1989
On the unitarily invariant norms and some related results. Zbl 0612.15017
Li, Chi-Kwong; Tsing, Nam-Kiu
1987
The ultimate estimate of the upper norm bound for the summation of operators. Zbl 1116.47011
Choi, Man-Duen; Li, Chi-Kwong
2006
Linear maps preserving permutation and stochastic matrices. Zbl 0998.15004
Li, Chi-Kwong; Tam, Bit-Shun; Tsing, Nam-Kiu
2002
Linear operators preserving unitary similarity invariant norms. Zbl 0706.15028
Li, Chi-Kwong; Tsing, Nam-Kiu
1990
The decomposable numerical radius and numerical radius of a compound matrix. Zbl 0588.15011
Li, Chi-Kwong
1986
Linear preservers of tensor product of unitary orbits, and product numerical range. Zbl 1281.15030
Li, Chi-Kwong; Poonl, Yiu-Tung; Sze, Nung-Sing
2013
Isometries for unitarily invariant norms. Zbl 1073.15022
Chan, Jor-Ting; Li, Chi-Kwong; Sze, Nung-Sing
2005
A survey on linear preservers of numerical ranges and radii. Zbl 0986.15021
Li, Chi-Kwong
2001
Extension of stochastic dominance theory to random variables. Zbl 1016.91032
Li, Chi-Kwong; Wong, Wing-Keung
1999
Some convexity theorems for the generalized numerical ranges. Zbl 0869.15017
Li, Chi-Kwong
1996
Overgroups of some classical linear groups with applications to linear preserver problems. Zbl 0793.15018
Đoković, Dragomir Ž.; Li, Chi-Kwong
1994
Preservers of unitary similarity functions on Lie products of matrices. Zbl 1334.15055
Cui, Jianlian; Li, Chi-Kwong; Poon, Yiu-Tung
2016
Stationary probability vectors of higher-order Markov chains. Zbl 1391.60176
Li, Chi-Kwong; Zhang, Shixiao
2015
Linear maps preserving Ky Fan norms and Schatten norms of tensor products of matrices. Zbl 1273.15030
Fošner, Ajda; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2013
Higher-rank numerical ranges and dilations. Zbl 1212.15022
Gau, Hwa-Long; Li, Chi-Kwong; Wu, Pei Yuan
2010
Product of operators and numerical range preserving maps. Zbl 1098.47007
Li, Chi-Kwong; Sze, Nung-Sing
2006
Generalized numerical ranges, dilation, and quantum error correction. Zbl 1435.47011
2019
Preservation of the joint essential matricial range. Zbl 07142409
Li, Chi-kwong; Paulsen, Vern I.; Poon, Yiu-tung
2019
Minimum number of non-zero-entries in a $$7 \times 7$$ stable matrix. Zbl 1434.15018
Hambric, Christopher Logan; Li, Chi-Kwong; Pelejo, Diane Christine; Shi, Junping
2019
Submultiplicativity of the numerical radius of commuting matrices of order two. Zbl 1425.15020
Li, Chi-Kwong; Poon, Yiu-Tung
2019
The generalized numerical range of a set of matrices. Zbl 1405.15029
Lau, Pan-Shun; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2019
Convexity and star-shapedness of matricial range. Zbl 06933546
Lau, Pan-Shun; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2018
Babenko’s approach to Abel’s integral equations. Zbl 1394.45005
Li, Chenkuan; Clarkson, Kyle
2018
Nonlinear maps preserving product $$X^{*}Y+Y^{*}X$$ on von Neumann algebras. Zbl 07040690
Li, C.; Zhao, F.; Chen, Q.
2018
Several results of fractional differential and integral equations in distribution. Zbl 1409.46030
Li, Chenkuan; Li, Changpin; Clarkson, Kyle
2018
Ranks of quantum states with prescribed reduced states. Zbl 1401.81027
Li, Chi-Kwong; Poon, Yiu-Tung; Wang, Xuefeng
2018
Preservers of isometries. Zbl 1413.47062
Ilišević, Dijana; Kuzma, Bojan; Li, Chi-Kwong; Poon, Edward
2018
Unitary similarity invariant function preservers of skew products of operators. Zbl 06735274
Cui, Jianlian; Li, Chi-Kwong; Sze, Nung-Sing
2017
Transverse free vibration and stability of axially moving nanoplates based on nonlocal elasticity theory. Zbl 1446.74028
Liu, J. J.; Li, C.; Fan, X. L.; Tong, L. H.
2017
Remarks on fractional derivatives of distributions. Zbl 1358.46038
Li, Chenkuan; Li, Changpin
2017
Products of positive semi-definite matrices. Zbl 1400.15014
Cui, Jianlian; Li, Chi-Kwong; Sze, Nung-Sing
2017
Numerical ranges of the product of operators. Zbl 06723306
Du, Hongke; Li, Chi-Kwong; Wang, Kuo-Zhong; Wang, Yueqing; Zuo, Ning
2017
Preservers of unitary similarity functions on Lie products of matrices. Zbl 1334.15055
Cui, Jianlian; Li, Chi-Kwong; Poon, Yiu-Tung
2016
Product of operators and numerical range. Zbl 1337.47005
Chien, Mao-Ting; Gau, Hwa-Long; Li, Chi-Kwong; Tsai, Ming-Cheng; Wang, Kuo-Zhong
2016
Minkowski product of convex sets and product numerical range. Zbl 1358.52004
Li, Chi-Kwong; Pelejo, Diane Christine; Poon, Yiu-Tung; Wang, Kuo-Zhong
2016
Factoring a quadratic operator as a product of two positive contractions. Zbl 1344.47014
Li, Chi-Kwong; Tsai, Ming-Cheng
2016
Stationary probability vectors of higher-order Markov chains. Zbl 1391.60176
Li, Chi-Kwong; Zhang, Shixiao
2015
A new criterion and a special class of $$k$$-positive maps. Zbl 1308.15024
Hou, Jinchuan; Li, Chi-Kwong; Poon, Yiu-Tung; Qi, Xiaofei; Sze, Nung-Sing
2015
Numerical range of Lie product of operators. Zbl 1334.47006
Hou, Jinchuan; Li, Chi-Kwong; Qi, Xiaofei
2015
Positivity of partitioned Hermitian matrices with unitarily invariant norms. Zbl 1325.15019
Li, Chi-Kwong; Zhang, Fuzhen
2015
Several results of fractional derivatives in $$D'(\mathbb R_+)$$. Zbl 1335.46033
Li, Chenkuan
2015
Projection methods for quantum channel construction. Zbl 1327.81083
Drusvyatskiy, Dmitriy; Li, Chi-Kwong; Pelejo, Diane Christine; Voronin, Yuen-Lam; Wolkowicz, Henry
2015
The spectrum of the product of operators, and the product of their numerical ranges. Zbl 1339.47004
Li, Chi-Kwong; Tsai, Ming-Cheng; Wang, Kuo-Zhong; Wong, Ngai-Ching
2015
Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector. Zbl 1307.15029
Li, Chi-Kwong; Sze, Nung-Sing
2014
Pseudospectra of special operators and pseudospectrum preservers. Zbl 1357.47007
Cui, Jianlian; Li, Chi-Kwong; Poon, Yiu-Tung
2014
Graphs associated with matrices over finite fields and their endomorphisms. Zbl 1288.05158
Huang, Li-Ping; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2014
On defining the distributions $$\delta^k$$ and $$(\delta')^k$$ by fractional derivatives. Zbl 1338.46053
Li, Chenkuan; Li, Changpin
2014
Linear maps preserving the higher numerical ranges of tensor products of matrices. Zbl 1319.15005
Fošner, Ajda; Huang, Zejun; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2014
Ranks and eigenvalues of states with prescribed reduced states. Zbl 1326.15016
Li, Chi-Kwong; Poon, Yiu-Tung; Wang, Xuefeng
2014
Recursive construction of noiseless subsystem for qudits. Zbl 1299.81010
Güngördü, Utkan; Li, Chi-Kwong; Nakahara, Mikio; Poon, Yiu-Tung; Sze, Nung-Sing
2014
Decomposition of quantum gates. Zbl 1288.81027
Li, Chi Kwong; Pelejo, Diane Christine
2014
Conditions for degradability of tripartite quantum states. Zbl 1286.81032
Fung, Chi-Hang Fred; Li, Chi-Kwong; Sze, Nung-Sing; Chau, H. F.
2014
Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms. Zbl 1314.11038
Knightly, A.; Li, C.
2013
Linear preservers and quantum information science. Zbl 1290.15017
Fošner, Ajda; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2013
Linear preservers of tensor product of unitary orbits, and product numerical range. Zbl 1281.15030
Li, Chi-Kwong; Poonl, Yiu-Tung; Sze, Nung-Sing
2013
Linear maps preserving Ky Fan norms and Schatten norms of tensor products of matrices. Zbl 1273.15030
Fošner, Ajda; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2013
Linear maps preserving numerical radius of tensor products of matrices. Zbl 1309.15044
Fošner, Ajda; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2013
Elementary proofs for some results on the circular symmetry of the numerical range. Zbl 1350.15012
Cheung, Wai-Shun; Li, Chi-Kwong
2013
A geometric characterization of invertible quantum measurement maps. Zbl 1283.47024
He, Kan; Hou, Jin-Chuan; Li, Chi-Kwong
2013
Decomposition of unitary matrices and quantum gates. Zbl 1267.81116
Li, Chi-Kwong; Roberts, Rebecca; Yin, Xiaoyan
2013
Maps preserving peripheral spectrum of Jordan products of operators. Zbl 1258.47054
Cui, Jianlian; Li, Chi-Kwong
2012
Properties and preservers of the pseudospectrum. Zbl 1245.15028
Cui, Jianlian; Forstall, Virginia; Li, Chi-Kwong; Yannello, Vincent
2012
Physical transformations between quantum states. Zbl 1278.81020
Huang, Zejun; Li, Chi-Kwong; Poon, Edward; Sze, Nung-Sing
2012
Preservers of matrix pairs with a fixed inner product value. Zbl 1255.15033
Li, Chi-Kwong; Plevnik, Lucijan; Šemrl, Peter
2012
Every invertible matrix is diagonally equivalent to a matrix with distinct eigenvalues. Zbl 1244.15006
Choi, Man-Duen; Huang, Zejun; Li, Chi-Kwong; Sze, Nung-Sing
2012
Generalized interlacing inequalities. Zbl 1253.15014
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2012
Maps preserving the joint numerical radius distance of operators. Zbl 1275.47013
Li, Chi-Kwong; Poon, Edward
2012
Induced metric and matrix inequalities on unitary matrices. Zbl 1239.81032
Chau, H. F.; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2012
Generalized numerical ranges and quantum error correction. Zbl 1261.47012
Li, Chi-Kwong; Poon, Yiu-Tung
2011
The automorphism group of separable states in quantum information theory. Zbl 1316.81014
Friedland, Shmuel; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2011
Interpolation by completely positive maps. Zbl 1236.15004
Li, Chi-Kwong; Poon, Yiu-Tung
2011
Higher rank numerical ranges of normal matrices. Zbl 1223.15032
Gau, Hwa-Long; Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2011
Efficient quantum error correction for fully correlated noise. Zbl 1252.81044
Li, Chi-Kwong; Nakahara, Mikio; Poon, Yiu-Tung; Sze, Nung-Sing; Tomita, Hiroyuki
2011
Elliptical range theorems for generalized numerical ranges of quadratic operators. Zbl 1231.47003
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2011
Norm preservers of Jordan products. Zbl 1254.15030
Kuzma, Bojan; Lesnjak, Gorazd; Li, Chi-Kwong; Petek, Tatjana; Rodman, Leiba
2011
Permutations as product of parallel transpositions. Zbl 1237.05002
Albert, Chase; Li, Chi-Kwong; Strang, Gilbert; Yu, Gexin
2011
Evolution of unconditional dispersal in periodic environments. Zbl 1403.92189
Schreiber, Sebastian J.; Li, Chi-Kwong
2011
Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact Lie groups. Zbl 1228.65059
Li, Chi-Kwong; Poon, Yiu-Tung; Schulte-Herbrüggen, Thomas
2011
Tracial numerical ranges and linear dependence of operators. Zbl 1226.47007
Kuzma, Bojan; Li, Chi-Kwong; Rodman, Leiba
2011
A note on the realignment criterion. Zbl 1225.81014
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2011
Maps preserving the spectrum of generalized Jordan product of operators. Zbl 1185.47036
Hou, Jinchuan; Li, Chi-Kwong; Wong, Ngai-Ching
2010
Higher-rank numerical ranges and dilations. Zbl 1212.15022
Gau, Hwa-Long; Li, Chi-Kwong; Wu, Pei Yuan
2010
Numerical ranges of the powers of an operator. Zbl 1188.47006
Choi, Man-Duen; Li, Chi-Kwong
2010
Conditions for linear dependence of two operators. Zbl 1206.47005
Kuzma, Bojan; Lešnjak, Gorazd; Li, Chi-Kwong; Petek, Tatjana; Rodman, Leiba
2010
Sum of Hermitian matrices with given eigenvalues: inertia, rank, and multiple eigenvalues. Zbl 1188.15039
Li, Chi-Kwong; Poon, Yiu-Tung
2010
Preservers of eigenvalue inclusion sets. Zbl 1232.15021
Hartman, Jim; Herman, Aaron; Li, Chi-Kwong
2010
Studying genetic code by a matrix approach. Zbl 1193.92037
Crowder, Tanner; Li, Chi-Kwong
2010
Operator radii and unitary operators. Zbl 1219.47012
Ando, Tsuyoshi; Li, Chi-Kwong
2010
Multiplicative maps preserving the higher rank numerical ranges and radii. Zbl 1193.15025
Clark, Sean; Li, Chi-Kwong; Sze, Nung-Sing
2010
Euclidean and circum-Euclidean distance matrices: characterizations and linear preservers. Zbl 1211.51006
Li, Chi-Kwong; Milligan, Thomas; Trosset, Michael W.
2010
Maps preserving product $$XY -YX^*$$ on factor von Neumann algebras. Zbl 1183.47031
Cui, Jianlian; Li, Chi-Kwong
2009
Condition for the higher rank numerical range to be non-empty. Zbl 1172.15014
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2009
Preservers for norms of Lie product. Zbl 1181.15031
Li, Chi-Kwong; Poon, Edward; Sze, Nung-Sing
2009
The joint essential numerical range of operators: convexity and related results. Zbl 1178.47001
Li, Chi-Kwong; Poon, Yiu-Tung
2009
Linear preservers of higher rank numerical ranges and radii. Zbl 1200.15012
Clark, Sean; Li, Chi-Kwong; Mahle, Jennifer; Rodman, Leiba
2009
Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices. Zbl 1172.15003
Li, Chi-Kwong; Rodman, Leiba
2009
Several products of distributions on manifolds. Zbl 1284.46033
Li, Chen Kuan
2009
Spectrum, numerical range and Davis–Wielandt shell of a normal operator. Zbl 1167.47007
Li, Chi-Kwong; Poon, Yiu-Tung
2009
Graphs equienergetic with edge-deleted subgraphs. Zbl 1175.05087
Li, Chi-Kwong; So, Wasin
2009
Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations. Zbl 1152.15027
Li, Chi-Kwong; Sze, Nung-Sing
2008
Jordan isomorphisms and maps preserving spectra of certain operator products. Zbl 1134.47028
Hou, Jinchuan; Li, Chi-Kwong; Wong, Ngai-Ching
2008
Davis–Wielandt shells of operators. Zbl 1176.47010
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2008
Higher rank numerical ranges and low rank perturbations of quantum channels. Zbl 1151.47008
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2008
Polynomial numerical hulls of matrices. Zbl 1130.15017
Davis, Chandler; Li, Chi-Kwong; Salemi, Abbas
2008
Ranks and determinants of the sum of matrices from unitary orbits. Zbl 1137.15002
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2008
Schur multiplicative maps on matrices. Zbl 1147.15001
Clark, Sean; Li, Chi-Kwong; Rastogi, Ashwin
2008
Eigenvalues of the sum of matrices from unitary similarity orbits. Zbl 1167.15008
Li, Chi-Kwong; Poon, Yiu-Tung; Sze, Nung-Sing
2008
Spectral radius preservers of products of monnegative matrices. Zbl 1158.15002
Clark, Sean; Li, Chi-Kwong; Rodman, Leiba
2008
Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices. Zbl 1114.65034
Bai, Zhong-Zhi; Golub, Gene H.; Li, Chi-Kwong
2007
Mappings preserving spectra of products of matrices. Zbl 1113.15002
Chan, Jor-Ting; Li, Chi-Kwong; Sze, Nung-Sing
2007
Maps preserving the nilpotency of products of operators. Zbl 1124.47026
Li, Chi-Kwong; Šemrl, Peter; Sze, Nung-Sing
2007
$$G$$-invariant norms and bicircular projections. Zbl 1110.15025
Fošner, Maja; Ilišević, Dijana; Li, Chi-Kwong
2007
Mappings that preserve pairs of operators with zero triple Jordan product. Zbl 1130.15002
Dobovišek, M.; Kuzma, B.; Lešnjak, G.; Li, C. K.; Petek, T.
2007
$$C^*$$-isomorphisms, Jordan isomorphisms, and numerical range preserving maps. Zbl 1123.47032
Gau, Hwa-Long; Li, Chi-Kwong
2007
Li, Chi-Kwong; Poon, Edward; Rastogi, Ashwin
2007
Eigenvalues of an alignment matrix in nonlinear manifold learning. Zbl 1135.65019
Li, Chi-Kwong; Li, Ren-Cang; Ye, Qiang
2007
...and 185 more Documents
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#### Cited by 1,654 Authors

 164 Li, Chi-Kwong 39 Hou, Jinchuan 34 Sze, Nung-Sing 33 Nakazato, Hiroshi 30 Lim, Yongdo 29 Poon, Yiu-Tung 28 Chien, Mao-Ting 28 Tsing, Nam-Kiu 27 Bebiano, Natália Isabel Quadros 25 Psarrakos, Panayiotis J. 24 da Providência Santarém e Costa, João 22 Rodman, Leiba X. 20 Guterman, Alexander Emilevich 20 Šemrl, Peter 19 Ma, Changfeng 19 Zhang, Xian 18 Spitkovsky, Ilya Matvey 17 Bourhim, Abdellatif 17 Taghavi Jelodar, Ali 17 Zhang, Guofeng 16 Tam, Tin-Yau 15 Cao, Yang 15 Molnár, Lajos 15 Yang, Aili 14 Lee, Hosoo 14 Wu, Yujiang 14 Zheng, Baodong 13 Beasley, LeRoy B. 13 Fošner, Ajda 13 Lu, Fangyan 13 Wong, Wing-Keung 12 Bai, Zhongzhi 12 Cui, Jianlian 12 Gau, Hwa-Long 12 Kuzma, Bojan 11 Cushing, Jim M. 11 Ji, Guoxing 11 Liang, Zhao-Zheng 11 Lou, Yuan 11 Wang, Kuo-Zhong 11 Wu, Peiyuan 10 Botelho, Fernanda 10 Cao, Chongguang 10 Chooi, Wai-Leong 10 Kim, Sejong 10 Lim, Ming-Huat 10 Salemi, Abbas 10 Zheng, Qingqing 9 Bendaoud, Mohamed 9 Chan, Jorting 9 Cheng, Cheman 9 Cheung, Waishun 9 Darvish, Vahid 9 Jamison, James Edward 9 Lau, Pan-Shun 9 Maroulas, John 9 Moslehian, Mohammad Sal 9 Niezgoda, Marek 9 Petek, Tatjana 9 Poon, Edward 9 Qi, Xiaofei 9 Song, Seok-Zun 9 Xu, Jinli 9 Zhang, Fuzhen 8 Armandnejad, Ali 8 Huang, Liping 8 Ilišević, Dijana 8 Laurent, Monique 8 Lu, Linzhang 8 Mabrouk, Mohamed 8 Pereira Soares, Maria da Graca 8 van den Driessche, Pauline 8 Wang, Dengyin 8 Wu, Shiliang 8 Życzkowski, Karol 7 Bhatia, Rajendra 7 Chen, Fang 7 Choi, Man-Duen 7 Coll, Carmen 7 Costara, Constantin 7 Guo, Xueping 7 He, Kan 7 Kribs, David W. 7 Lawson, Jimmie Don 7 Li, Cuixia 7 Massey, Pedro G. 7 Pálfia, Miklós 7 Razeghi, Mehran 7 Sánchez, Elena 7 Sarih, Mustapha 7 Tang, Xiaomin 7 Wang, Xiang 7 Yamazaki, Takeaki 6 Aghamollaei, Gholamreza 6 Dirr, Gunther 6 El Abidine Abdelali, Zine 6 Fang, Xiaochun 6 Hiai, Fumio 6 Holbrook, John A. R. 6 Horn, Roger Alan ...and 1,554 more Authors
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#### Cited in 254 Serials

 502 Linear Algebra and its Applications 262 Linear and Multilinear Algebra 61 Journal of Mathematical Analysis and Applications 51 Applied Mathematics and Computation 36 Journal of Computational and Applied Mathematics 29 Proceedings of the American Mathematical Society 28 Numerical Algorithms 26 Computers & Mathematics with Applications 19 Journal of Mathematical Biology 19 SIAM Journal on Matrix Analysis and Applications 17 Journal of Functional Analysis 16 BIT 16 Integral Equations and Operator Theory 15 Operators and Matrices 13 ELA. The Electronic Journal of Linear Algebra 13 Acta Mathematica Sinica. English Series 12 Journal of Mathematical Physics 11 Journal of Biological Dynamics 11 East Asian Journal on Applied Mathematics 10 Rocky Mountain Journal of Mathematics 9 Computational and Applied Mathematics 8 Bulletin of Mathematical Biology 8 Journal of Algebra 8 Bulletin of the Iranian Mathematical Society 8 Numerical Linear Algebra with Applications 8 Banach Journal of Mathematical Analysis 8 Annals of Functional Analysis 8 Advances in Operator Theory 7 Bulletin of the Australian Mathematical Society 7 Communications in Algebra 7 Advances in Mathematics 7 Archiv der Mathematik 7 Journal of Mathematical Sciences (New York) 7 Positivity 7 Journal of the Australian Mathematical Society 7 Journal of Applied Mathematics and Computing 6 Discrete Mathematics 6 Mathematical Biosciences 6 Czechoslovak Mathematical Journal 6 International Journal of Computer Mathematics 6 Journal of Algebraic Combinatorics 6 Abstract and Applied Analysis 6 Quantum Information Processing 5 Theoretical Population Biology 5 Applied Mathematics Letters 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Special Matrices 4 Reports on Mathematical Physics 4 Mathematische Annalen 4 Transactions of the American Mathematical Society 4 Applied Numerical Mathematics 4 Applied Mathematical Modelling 4 European Journal of Operational Research 4 Finite Fields and their Applications 4 Journal of Difference Equations and Applications 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Mediterranean Journal of Mathematics 4 Complex Analysis and Operator Theory 4 Asian-European Journal of Mathematics 4 Journal of Theoretical Biology 4 Open Mathematics 3 American Mathematical Monthly 3 Discrete Applied Mathematics 3 Studia Mathematica 3 Mathematics of Computation 3 Annales de l’Institut Fourier 3 Journal of Combinatorial Theory. Series A 3 Numerische Mathematik 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Results in Mathematics 3 European Journal of Combinatorics 3 Designs, Codes and Cryptography 3 Expositiones Mathematicae 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 3 Advances in Applied Clifford Algebras 3 Advances in Computational Mathematics 3 Mathematical Problems in Engineering 3 International Journal of Applied Mathematics and Computer Science 3 Central European Journal of Mathematics 3 Proyecciones 3 Science China. Mathematics 3 Mathematics 3 Wavelets and Linear Algebra 2 International Journal of Theoretical Physics 2 Letters in Mathematical Physics 2 The Mathematical Intelligencer 2 Canadian Journal of Mathematics 2 Illinois Journal of Mathematics 2 Journal of Combinatorial Theory. Series B 2 Journal of Multivariate Analysis 2 Journal of Number Theory 2 Journal of Pure and Applied Algebra 2 Journal of Statistical Planning and Inference 2 Monatshefte für Mathematik 2 Quaestiones Mathematicae 2 Theoretical Computer Science 2 Statistics & Probability Letters 2 Acta Mathematica Hungarica 2 Graphs and Combinatorics ...and 154 more Serials
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#### Cited in 54 Fields

 946 Linear and multilinear algebra; matrix theory (15-XX) 511 Operator theory (47-XX) 278 Numerical analysis (65-XX) 194 Functional analysis (46-XX) 87 Quantum theory (81-XX) 86 Combinatorics (05-XX) 79 Biology and other natural sciences (92-XX) 44 Associative rings and algebras (16-XX) 44 Group theory and generalizations (20-XX) 41 Real functions (26-XX) 32 Information and communication theory, circuits (94-XX) 29 Operations research, mathematical programming (90-XX) 27 Partial differential equations (35-XX) 27 Probability theory and stochastic processes (60-XX) 26 Convex and discrete geometry (52-XX) 24 Nonassociative rings and algebras (17-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Dynamical systems and ergodic theory (37-XX) 23 Systems theory; control (93-XX) 22 Number theory (11-XX) 22 Statistics (62-XX) 21 Algebraic geometry (14-XX) 18 Ordinary differential equations (34-XX) 17 Differential geometry (53-XX) 15 Difference and functional equations (39-XX) 14 Geometry (51-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 12 Topological groups, Lie groups (22-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Computer science (68-XX) 10 Fluid mechanics (76-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Approximations and expansions (41-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Functions of a complex variable (30-XX) 6 Integral equations (45-XX) 6 Mechanics of particles and systems (70-XX) 5 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Mechanics of deformable solids (74-XX) 4 General and overarching topics; collections (00-XX) 4 General topology (54-XX) 3 Field theory and polynomials (12-XX) 3 Measure and integration (28-XX) 3 Special functions (33-XX) 2 Commutative algebra (13-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX)

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