Academic Webs

Professor Kuo-Zhong Wang

Contact

Email: kzwang@math.nctu.edu.tw
Tel: +886-3-571-2121 ext. 56483
Fax: +886-3-572-4679
Address: Department of Applied Mathematics, National Yang Ming Chiao Tung University,1001 Ta Hsueh Road, Hsinchu, Taiwan 30050, ROC

Teaching

Fall Semester, 2024：
- Service Learning I
- Mentor's Hours

Spring Semester, 2024：
- Service Learning II
- Introduction to Analysis (II), Honor Class

Vitae

Education
- 2003/09 - 2008/12 Ph.D., National Tsing Hua University, Taiwan
- 2001/09 - 2003/06 Master, National Tsing Hua University, Taiwan

Research Areas
- Inequalities
- Matrix Analysis

Positions, Honors and Awards

Recent Research Projects

Selected Publications

(A) Refereed Papers：

Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2022). Numerical ranges of Foguel-Halmos opertors. Studia Mathematica. 263(3),267-291.(SCI)
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2021). Numerical ranges of Foguel opertors. Linear Algebra and its Applications, Volume 610,766-211.(SCI)
Hwa-Long Gau, Kuo-Zhong Wang, (2020) Matrix Power with Circular Numerical Range. Linear Algebra and its Applications, Volume 603,190-211.(SCI)
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2019). Equality of Numerical Ranges of Matrix Powers, Linear Algebra and its Applications, Volume 578, 95—110. (SCI)
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2019). Constant norms and numerical radii of matrix powers. Operators and Matrices, Volume 13, number 4, 1035—1054. (SCI)
Hwa-Long Gau, Kuo-Zhong Wang (2017). Extremality of numerical radii of matrix commutators and Jordan products. Linear Algebra and its Applications, Volume 533, pages 258—281. (SCI)
Hongke Du, Chi-Kwong Li, Kuo-Zhong Wang, Yueqing Wang, Ning Zuo (2017). Numerical ranges of the product of operators. Operators and Matrices, Volume 11, Number 1, pages 171—180. (SCI)
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2016,Oct). Numerical ranges of Row stochastic matrices. Linear Algebra and its Applications, Volume 506, No.15, 409-423.(SCI)
Chi-Kwong Li, Diane Christine Pelejo, Kuo-Zhong Wang (2016). Optimal bounds on functions of quantum states under quantum channels. Quantum Information and Computation, Vol. 16, 845—861.(SCI)
Chi-Kwong Li, Diane Christine Pelejo, Kuo-Zhong Wang (2016). Product of two positive contractions. Linear Algebra and its Applications, Volume 501, NO. 15, 409—423.(SCI)
Mao-Ting Chien, Hwa-Long Gau, Chi-Kwong Li, Ming-Cheng Tsai, Kuo-Zhong Wang (2016). Product of operators and numerical range. Linear and Multilininear Algebra, Vol. 64, No. 1, 58-67.(SCI)
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2016). Numerical ranges of row stochastic matrices. Linear Algebra and its Applications, Volume 506, pages 478—505. (SCI)
Chi-Kwong Li, Diane Christine Pelejo, Yiu-Tung Poon, Kuo-Zhong Wang (2016). Minkowski product of convex sets and product numerical range. Operators and Matrices, Volume 10, pages 945—965. (SCI)
Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2016). Crawford numbers of companion matrices. Operators and Matrices, Volume 10, pages 863—880. (SCI)
Hwa-Long, Kuo-Zhong Wang, Pei Yuan Wu (2016), Circular numerical ranges of partial isometries. Linear and Multilinear Algebra, Volume 64, pages 14—35. (SCI)
The spectrum of the product of operators, and the product of their numerical ranges, Linear Algebra Appl., 469(2015), 487-499 (with Chi-Kwong Li, Ming-Cheng Tsai, Ngai-Ching Wong). (SCI)
Numerical Radii for Tensor Products of Matrices, Linear and Multilinear Algebra, 63(2015), 1916-1936 (with H.-L. Gau and P. Y. Wu). (SCI)
Numerical Radii for Tensor Products of Operators, Integr. equ. oper. theory, 78(2014), 375-382 (with H.-L. Gau and P. Y. Wu). (SCI)
Zero-dilation index of a Finite Matrix, Linear Algebra Appl., 440(2014), 111-124 (with H.-L. Gau and P. Y. Wu). (SCI)
Equality of higher-rank numerical ranges of matrices, Linear and Multilinear Algebra, 62(2014), 626-638 (with C.-T. Chang and H.-L. Gau). (SCI)
Diagonals and Numerical Ranges of Weighted Shift Matrices, Linear Algebra Appl., 438 (2013), 514—532 (with P. Y. Wu). (SCI)
Numerical Ranges and Gersgorin Disc, Linear Algebra Appl., 438 (2013), 1170—1192 (with C.-T. Chang, H.-L. Gau, P. Y. Wu). (SCI)
Maximizing numerical radii of weighted shifts under weight permutations, J. Math. Anal. Appl., 394(2012), 592--602 (with C.-T. Chang). (SCI)
Numerical ranges of weighted shift, J. Math. Anal. Appl. , 381(2011), 897--909 (with P. Y. Wu). (SCI)
Operator norms and lower bounds for generalized Hausdorff matrices, Linear and Multilinear Algebra 59(2011), 321--337 (with C.-P. Chen). (SCI)
A new generalization of Hardy-Hilbert's inequality with non-homogeneous kernel, Mathematical Inequalities and Application, 14(2011), 1--11(with C.-T. Chang and J.-W. Lan). (SCI)
Crawford numbers of a matrix , Linear Algebra Appl. , 433(2010), 2243--2254(with P. Y. Wu, and H.-L. Gau). (SCI)
Lower bounds of Copson type for weighted mean matrices and Norlund matrices, Linear and Multilinear Algebra 58 (2010), 343--353 (with C.-P. Chen). (SCI)
Numerical ranges of radial Toeplitz operators on Bergman space, Integr. equ. oper. theory 65 (2009), 581--591 (with Pei Yuan Wu). (SCI)
Lower bounds of Copson type for Norlund matrices, Linear Algebra Appl. 428(2008), 1939--1948 (with C.-P. Chen, M.-K. Kuo). (SCI)
Lower bounds of Copson type for the transposes of lower triangular matrices, J. Math. Anal. Appl. 341(2008), 1284--1294 (with C.-P. Chen). (SCI)
Lower bounds of Copson type for Hausdorff matrices II, Linear Algebra Appl. 422(2007), 563--573 (with C.-P. Chen). (SCI)
Lower bounds of Copson type for Hausdoff matrices, Linear Algebra Appl. 420(2007), 208--217 (with C.-P. Chen). (SCI)

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