Associate 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, 2020：
  • Service Learning I
  • Introduction to Analysis (I), Honor Class
• Spring Semester, 2021：
  • Service Learning II
  • Mathematical Logic and Reasoning
  • 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
  The powers of a numerical contraction (109-2115-M-009-001-)
  Numerical ranges of the powers of a matrix (108-2115-M-009-001-)
  Numerical range of the generalized Aluthge transform of a matrix (107-2115-M-009-001-)
  The numerical radii of matrix commutators(106-2115-M-009-001-)
  Product of two positive semidefinite contractions (105-2115-M-009-003-)

Selected Publications

(A)   Refereed Papers：

1. Lower bounds of Copson type for Hausdoff matrices, Linear Algebra Appl. 420(2007), 208--217 (with C.-P. Chen). (SCI)
2. Lower bounds of Copson type for Hausdorff matrices II, Linear Algebra Appl. 422(2007), 563--573 (with C.-P. Chen). (SCI)
3. 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)
4. Lower bounds of Copson type for Norlund matrices, Linear Algebra Appl. 428(2008), 1939--1948 (with C.-P. Chen, M.-K. Kuo). (SCI)
5. Numerical ranges of radial Toeplitz operators on Bergman space, Integr. equ. oper. theory 65 (2009), 581--591 (with Pei Yuan Wu). (SCI)
6. 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)
7. Crawford numbers of a matrix , Linear Algebra Appl. , 433(2010), 2243--2254(with P. Y. Wu, and H.-L. Gau). (SCI)
8. 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)
9. Operator norms and lower bounds for generalized Hausdorff matrices, Linear and Multilinear Algebra 59(2011), 321--337 (with C.-P. Chen). (SCI)
10. Numerical ranges of weighted shift, J. Math. Anal. Appl. , 381(2011), 897--909 (with P. Y. Wu). (SCI)
11. Maximizing numerical radii of weighted shifts under weight permutations, J. Math. Anal. Appl., 394(2012), 592--602 (with C.-T. Chang). (SCI)
12. Numerical Ranges and Gersgorin Disc, Linear Algebra Appl., 438 (2013), 1170—1192 (with C.-T. Chang, H.-L. Gau, P. Y. Wu). (SCI)
13. Diagonals and Numerical Ranges of Weighted Shift Matrices, Linear Algebra Appl., 438 (2013), 514—532 (with P. Y. Wu). (SCI)
14. 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)
15. Zero-dilation index of a Finite Matrix, Linear Algebra Appl., 440(2014), 111-124 (with H.-L. Gau and P. Y. Wu). (SCI)  
16. Numerical Radii for Tensor Products of Operators, Integr. equ. oper. theory, 78(2014), 375-382 (with H.-L. Gau and P. Y. Wu). (SCI)
17. Numerical Radii for Tensor Products of Matrices, Linear and Multilinear Algebra, 63(2015), 1916-1936 (with H.-L. Gau and P. Y. Wu). (SCI)
18. 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)
19. 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)
20. Hwa-Long Gau, Kuo-Zhong Wang, Pei Yuan Wu (2016). Crawford numbers of companion matrices. Operators and Matrices, Volume 10, pages 863—880. (SCI)
21. 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)
22. Mao-Ting Chien, Hwa-Long Gau, Chi-Kwong Li, Ming-Cheng Tsai, Kuo-Zhong Wang (2016). Product of operators and numerical range. Linear and Multilinear Algebra, Volume 64, pages 58—67. (SCI)
23. 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)
24. 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)
25. 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)
26. 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)
27. 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)
28. 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) 
29. 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)

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