Research Output List 2000-01

Department of Mathematics

Scholarly books and monographs

 Ching W.K., Iterative Methods for Queuing and Manufacturing Systems, Springer Monographs in Mathematics. London, Springer, 2001, 185pp. (Publication No. : 63209)
Journal articles, book chapters and other published papers

 Chan J.T., Li C.K. and Tu C.C.N., A class of unitarily invariant norms on B(H), Proceedings of the American Mathematical Society. Providence, USA, American Mathematical Society, 2000, 129: 1065-1076. (Publication No. : 63207)
 Chan J.T. and Chan K., The cone of nonnegative c-numerical range and its preservers, Linear Algebra and its Applications. New York, USA, Elsevier Science, 2001, 323: 75-85. (Publication No. : 63208)
 Cheung W.S. and Wong B., Hermitian Metric with Constant Holomorphic Sectional Curvature on Convex Domains, International Journal of Mathematics. 2000, 11, No.6: 849-855. (Publication No. : 63190)
 Cheung W.S., Hanjs Z. and Pecaric J., Some Hardy-type Inequalities, Journal of Mathematical Analysis and Applications. 2000, 250: 621-634. (Publication No. : 63189)
 Cheung W.S., Some New Poincaré-type Inequalities, Bulletin of the Australian Mathematical Society. 2001, 63: 321-327. (Publication No. : 63191)
 Ching W.K. and Zhou X.Y., Circulant Approximation for Preconditioning in Stochastic Automata Networks, Computers and Mathematics with Applications. 2000, 39: 147-160. (Publication No. : 63210)
 Ching W.K. and Chan R.H., Circulant Preconditioners for Stochastic Automata Networks, Numerise Mathematik. 2000, 87: 35-57. (Publication No. : 63212)
 Ching W.K., Circulant Preconditioning for Unreliable Manufacturing Systems with Batch Arrivals, International Journal of Applied Mathematics. 2000, 4: 11-21. (Publication No. : 63211)
 Ching W.K., Markovian Approximation for Manufacturing Systems of Unreliable Machines in Tandem, International Journal of Naval Research Logistics. 2001, 48: 65-78. (Publication No. : 63213)
 Ching W.K., On Measuring Average Speed in a Circulating System, International Journal of Mathematical Education in Science and Technology. 2001, 32: 446-449. (Publication No. : 63214)
 Chu S.C.K., A Goal Programming Model for Crew Duties Generation, International Journal of Multi-criteria Decision Analysis [Winner of Wiley Prize]. 2001, 10, No.3: 143-151. (Publication No. : 63193)
 Chu S.C.K. and Chu L., A Modeling Framework for Hospital Location and Service Allocation, International Transactions in Operational Research. 2000, 7(6): 539-568. (Publication No. : 53090)
 Chu S.C.K., Ho M.P.P., Lee K.K.Y. and Lo H.P., Nurses Allocation Models for Maternal and Child Health Services, Journal of the Operational Research Society. 2000, 51, No.10: 1193-1204. (Publication No. : 63192)
 Lau Y.K., On the limiting distribution of a generalized divisor problem for the case $-1 \le a< -\frac 12$, Acta arithmetica. Warszawa, Poland, Institute of Mathematics of the Polish Academy of Sciences, 2001, 98: 237-244. (Publication No. : 63206)
 Lau Y.K., On the limiting distribution of a generalized divisor problem for the case $-\frac 12 < a < 0$, Acta arithmetica. Warszawa, Poland, Institute of Mathematics of the Polish Academy of Sciences, 2001, 98: 229-236. (Publication No. : 63205)
 Liu M.C., Wang Y. and Wang T., A numerical bound for small prime solutions of some ternary linear equation II, Asian Journal of Mathematics (in memorial of Professor L.K. Hua's 90th birthday). 2000, 4: 961-976. (Publication No. : 63245)
 Liu M.C., Zhan T. and Bauer C., On sum of three prime numbers, Journal of Number Theory. 2000, 85: 336-359. (Publication No. : 63246)
 Liu M.C. and Jia C., On the largest prime factor of integers, Acta Arithmetica. 2000, 95: 17-48. (Publication No. : 63247)
 Liu M.C. and Liu J., Representation of even integers as sums of squares of primes and powers of 2, Journal of Number Theory. 2000, 83: 202-225. (Publication No. : 63248)
 Liu M.C. and Liu J., Representation of even integers by cubes of primes and powers of 2, Acta Mathematica Hungarica. 2001, 91: 217-243. (Publication No. : 63244)
 Liu M.C. and Liu J., The exceptional set in four prime squares problem, Illinois Journal of Mathematics. 2000, 44: 272-293. (Publication No. : 63249)
 Mok N. and Hwang J., Cartan-Fubini type extension of holomorphic maps for Fano manifolds of Picard number 1, Journal de Mathématiques Pures et Appliquées. Paris, France, Elsevier SAS, 2001, 80: 563-575. (Publication No. : 63183)
 Ng K.P., Chan R. and Kwan C.K., A Fast Algorithm for High-Resolution Color Image Reconstruction with Multisensors, Lecture Notes in Computer Science, Ed: L. Vulkov, J. Wasniewski, P. Yalamov. Springer-Verlag, 2001, 1988: 615-627. (Publication No. : 63229)
 Ng K.P. and Yip A., A Fast MAP Algorithm for High-Resolution Image Reconstruction with Multisensors, Multidimensional Systems and Signal Processing. 2001, 12: 143-164. (Publication No. : 63226)
 Ng K.P., Plemmons R. and Pimentel F., A New Approach to Constrained Total Least Squares Image Restoration, Linear Algebra Appls.. 2000, 316: 237-258. (Publication No. : 63224)
 Ng K.P., Chan R. and Yip A., A Survey of Preconditioners for Ill-Conditioned Toeplitz Systems, Structured Matrices in Mathematics, Computer Science, and Engineering II, in Contemporary Mathematics, AMS, Ed. V. Olshevsky. 2001, 175-191. (Publication No. : 63228)
 Ng K.P., Chan R. and Jin X., Circulant Preconditioners for Solving Ordinary Differential Equations, Structured Matrices: Recent Developments in Theory and Computation, Eds. D. Bini, E. Tyrtyshnikov and P. Yalmov. Nova Science Pub. Inc., 2000, 157-164. (Publication No. : 63231)
 Ng K.P., Clustering Methods for Printed Circuit Board Insertion Problems, Journal of Operational Research Society. 2000, 51: 1205-1211. (Publication No. : 63225)
 Ng K.P., Chan R., Chan T. and Yip A., Cosine Transform Preconditioners for High Resolution Image Reconstruction, Linear Algebra Appls.. 2000, 316: 89-104. (Publication No. : 63221)
 Ng K.P. and Lin F., Fast Preconditioned Iterative Methods for Convolution-type Integral Equations, BIT. 2000, 40: 336-350. (Publication No. : 63222)
 Ng K.P. and Kwan C.K., Iterative Regularization for I11-Posed Imaging Problems Using Neumann Boundary Conditions, Structured Matrices: Recent Developments in Theory and Computation, Eds. D. Bini, E. Tyrtyshnikov and P. Yalmov. Nova Science Pub. Inc., 2000, 177-190. (Publication No. : 63232)
 Ng K.P., K-means-type Algorithms on Distributed Memory Computer, International Journal of High Speed Computing. 2000, 11, No.2: 75-91. (Publication No. : 63227)
 Ng K.P., Preconditioned Lanczos Methods for the Minimum Eigenvalue of a Symmetric Positive Definite Toeplitz Matrix, SIAM J. Sci. Comput.. 2000, 21: 1973-1986. (Publication No. : 63220)
 Ng K.P. and Bertaccine D., Skew-Circulant Preconditioners for Systems of LMF-Based ODE Codes, Lecture Notes in Computer Science, Ed: L. Vulkov, J. Wasniewski, P. Yalamov. Springer-Verlag, 2001, 1988: 93-101. (Publication No. : 63230)
 Ng K.P., Chan R. and Yip A., The Best Circulant Preconditioners for Hermitian Toeplitz Matrices, SIAM Journal on Numerical Analysis. 2001, 38: 876-896. (Publication No. : 63223)
 Ng T.W., An example concerning infinite factorizations of transcendental entire functions, Expositiones Mathematicae. Jena, Germany, Urban & Fischer Verlag, 2000, 18: 127-129. (Publication No. : 63217)
 Ng T.W. and Beardon A.F., On Ritt's factorization of polynomials, Journal of London Mathematical Society. Cambridge, UK, Cambridge University Press, 2000, 62: 127-138. (Publication No. : 63216)
 Siu M.K., "Less is more" or "Less is less"? Undergraduate mathematics education in the era of mass education, Themes in Education. 2000, 1, No.2: 163-171. (Publication No. : 63197)
 Siu M.K., Combinatorics and algebra: A medley of problems? A medley of techniques?, Contemporary Mathematics. 2000, 264: 287-305. (Publication No. : 63198)
 Siu M.K., How did candidates pass the state examination in mathematics in the Tang Dynasty (618-907)? - Myth of the "Confucian-Heritage-Culture" classroom, Actes de la troisième université d'été européenne sur l'histoire et l'épistémologie dans l'(Publication No. : 63200)
 Siu M.K. and Engelfriet P., Xu Guangqi's attempt to integrate Western and Chinese mathematics, Statecraft And Intellectual Renewal In Late Ming China: The Cross-Cultural Synthesis of Xu Guangqi (1562-1633). Leiden, Brill, 2001, 279-310. (Publication No. : 63199)
 Tsang K.M. and Lau Y.K., $\Omega_\pm$- results of the error term in the mean square formula of the Riemann zeta-function in the critical strip, Acta arithmetica. Warszawa, Poland, Institute of Mathematics of the Polish Academy of Sciences, 2001, 98: 53-69. (Publication No. : 63204)
 Tsang K.M., Counting Lattice points in the sphere, Bulletin London Math. Soc.. 2000, 32: 679-688. (Publication No. : 63187)
 Yu J. and Shpilrain V., Embeddings of hypersurfaces in affine spaces, J. Algebra. 2001, 239, no.1: 161-173. (Publication No. : 63201)
 Yu J., Drensky V.S. and Shpilrain V., On the density of the set of generators of a polynomial algebra, Proc. Amer. Math. Soc.. 2000, 128, no.12: 3465-3469. (Publication No. : 63203)
 Yu J. and Drensky V.S., Tame and wild coordinates of K[z][x,y], Trans. Amer. Math. Soc.. 2001, 353, no.2: 519-537. (Publication No. : 63202)
 Yung S.P. and Vu Q.P., Lyapunov Equations and Stability of Non-autonomous Evolution Equations on Hilbert Space, Differential Equations and Control Theory, edited by Aizicovici and Pavel,. Marcel Dekker Inc., 2001, 309-317. (Publication No. : 63186)
 Yung S.P., Levan N. and Vu Q.P., Stability and Stabilization via the Algebraic Riccati Equation, Proc. of the Second International Conf. on Nonlinear Problems in Aviation and Aerospace, European Conference Publications. 2000, 2: 411-420. (Publication No. : 63185)
 Zang W., Cai M.C. and Deng X.T., An approximation algorithm for feedback vertex sets in tournaments, SIAM Journal on Computing. Philadelphia, PA, USA, SIAM, 2001, 30: 1993-2007. (Publication No. : 63196)
 Zang W., Li Y.S. and Rousseau C., Asymptotic Upper Bounds for Ramsey Functions, Graphs and Combinatorics. Tokyo, Japan, Springer, 2001, 17: 123-128. (Publication No. : 63195)
Conference and working papers

 Ng K.P. and Wong C.S., A Tabu Search Based Algorithm for Clustering Categorical Data Sets, Lecture Notes in Computer Science, Ed: K. Leung, L. Chan and H. Meng. Springer-Verlag, 2000, 1983: 559-564. (Publication No. : 63239)
 Ng K.P. and Ting K.W., Adaptive Statistical Models Using the Autocovariance Function for Time Series Matching, Workshop Proc. The Fifth Pacific-Asia Conference on Knowledge Discovery and Data Mining (PAKDD-01), Hong Kong, April 2001. 165-174. (Publication No. : 63242)
 Ng K.P., An Efficient Parallel Algorithm for High-Resolution Color Image Reconstruction, Proceedings of the Seventh International Conference on Parallel and Distributed Systems: Workshops, 4-7 July, 2000. Iwate, Japan, 547-552. (Publication No. : 63233)
 Ng K.P., Huang Z. and Cheung D., An Empirical Study on the Visual Cluster Validation Method with Fastmap, Proceedings to 7th International Conference on Database Systems for Advanced Applications, Hong Kong, April 2001. 84-91. (Publication No. : 63240)
 Ng K.P., Huang Z., Lin T. and Cheung D., An Interactive Approach to Building Classification Models by Clustering and Cluster Validation, Lecture Notes in Computer Science, Ed: K. Leung, L. Chan and H. Meng. Springer-Verlag, 2000, 1983: 23-28. (Publication No. : 63238)
 Ng K.P. and Cheung W.M.Y., Circulant Preconditioners for Solving Three-Dimensional Convection-Diffusion Equation, 2nd WSES/MIUE/HNA International Conference: Mathematics and Computers in Physics, 10-15 July, 2000. Athens, Greece, 55-59. (Publication No. : 63236)
 Ng K.P., Half-quadratic Regularization, Preconditioning and Applications, Proceedings of the 2001 International Symposium on Intelligent Multimedia, Video and Speech Processing, Hong Kong, May 2001. 24-27. (Publication No. : 63243)
 Ng K.P., Yu J. and Huang Z., Patterns Discovery Based on Time-Series Decomposition, Lecture Notes in Aritifical Intelligence, Ed. D. Cheung, G. Williams, Q. Li. Springer Verlag, 2001, 2035: 336-347. (Publication No. : 63241)
 Ng K.P. and Sze N.K., Preconditioned Iterative Methods for Super-Resolution Image Reconstruction with Multisensors, Proceedings to the SPIE, Symposium on Advanced Signal Processing: Algorithms, Architectures and Implementations, July 2000, Ed: Franklin Luk. San Diego CA, 2000, 4116: 396-405. (Publication No. : 63237)
 Ng K.P. and Sze N.K., Super-Resolution Image Reconstruction with Multisensors, Proceedings of the 4th World Multiconference on Systemics, Cybernetics and Informatics, 23-26 July, 2000. Orlando, USA, 235-240. (Publication No. : 63235)
 Ng T.W., Recent progress on the unique factorizations of entire functions, Proceedings of the Second International ISAAC Congress, Fukuoka-shi, Japan. Kluwer Academic Publisher, 2000, 2: 1187-1199. (Publication No. : 63215)
Editorships and high-level service external to HKU

 Chu S.C.K., Associate editor of the IMA Journal of Management Mathematics. 2000. (Publication No. : 63359)
Prizes and awards

 Chu S.C.K., Wiley Prize for the best application paper of the XV-th International Conference on Multiple Criteria Decision Making, Anakra, Turkey (10-14 July 2000). 2000. (Publication No. : 63358)

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