Research Output List 1997-98

Department of Mathematics




  Scholarly books and monographs

     Volkov A.K., Special issue on science in 14th century China: a case study of Daoist master and polymath Zhao Youqin (1271-1335?). Taiwanese Journal for Philosophy and History of Science. (Guest editor of the issue). Taipei, Taiwan, Yuan-Liou Publ. Co., 1997, 5(1): 189PP. (Publication No. : 34855)

  Journal articles, book chapters and other published papers

     Chan H., Chan R. and Ng K.P., Band Toeplitz preconditioners for Toeplitz systems with rational generating functions, The Bulletin of Hong Kong Mathematical Society. 1997, 1: 67-86. (Publication No. : 34903)

     Chan J.T., Extremal properties related to operator radius, Tamkang J. Math.. 1997, 28: 139-143. (Publication No. : 35084)

     Chan J.T., Numerical radius preserving operators on C*-algebras, Arch. Math. 1998, 70: 486-488. (Publication No. : 35085)

     Chan K.Y., Jing Z. and Xu P., Bifurcation and chaotic behavior in the Duffing equations with one and two external periodic forces, Proceedings of the International Conference on Functional Analysis and Global Analysis, 1996 in Manila, edited by Toshikazu Sunada and Polly Wee Sy. Springer-Verlag, Singapore, 1997. (Publication No. : 35716)

     Chan K.Y., Jing Z. and Zeng X., Harmonic and subharmonic bifurcation in the Brussel model with periodic force, Acta Mathematicae Applicate Sinica. China, 1997, 13 (3): 289-301. (Publication No. : 35722)

     Cheung W.S., Calculus of Variations and Exterior Differential Systems, Advances in Computational Engineering Science. 1997, 382-387. (Publication No. : 34599)

     Cheung W.S., Discrete Poincaré-type inequalities, Tamkang Journal of Mathematics. 1998, 29(2): 145-153. (Publication No. : 34600)

     Drensky V. and Yu J., Orbit of automorphisms of relatively free algebras of rank two, Communications in Algebra. 1998, 26: 1895-1906. (Publication No. : 36696)

     Gao B.Z. and Yung S.P., Asymptotic Behavior of the Eigenfrequency of a One-dimensional Linear Thermoelastic System, Journal of Mathematical Analysis and Applications. 1997, 213: 406-421. (Publication No. : 36429)

     Hwang F. and Zang W., Detecting corrupted pages in M replicated large files, IEEE Transactions on Parallel and Distributed Systems. Los Alamitos, USA, IEEE Computer Society, 1997, 8: 1241-1245. (Publication No. : 35073)

     Hwang J. and Mok N., Rigidity of irreducible Hermitian symmetric spaces of the compact type under Kähler deformation, Inventiones Mathematicae. Heidelberg-Berlin, Germany, 1998, 393-418. (Publication No. : 35816)

     Hwang J. and Mok N., Uniruled projective manifolds with irreducible reductive G-structures, Journal für Reine and Angewandte Mathematik. 1997, 490: 55-64. (Publication No. : 35813)

     Lam K.Y. and Tsang K.M., The mean square of the error term in a generalization of the Dirichlet divisor problem, In: Motohashi Y. (ed.), Analytic Number Theory, LMS Lect. Notes. 1997, 247: 209-225. (Publication No. : 36041)

     Lau Y.L. and Liu M.C., Some recent work on the exceptional sets for the sums in two or three variables, Proceedings of the Second Asian Mathematical Conference 1995, Singapore. 1998, 152-161. (Publication No. : 34806)

     Lee C.H. and Yung S.P., Optimality Conditions and Duality for Nonlinear Time-Delay Control Problem, Optimal Control, Applications and Methods. 1997, 18: 327-340. (Publication No. : 36440)

     Li C.K., Tsing N.K. and Zhang F.Z., Norm Hull of Vectors and Matrices, SIAM Journal on Matrix Analysis and Applications. New York, USA, Elsevier Science Inc., 1997, 257: 1-27. (Publication No. : 35386)

     Lin F., Ng K.P. and Chan R., Preconditioners for Wiener-Hopf equations with higher order quadrature rules, SIAM Journal on Numerical Analysis. 1997, 34: 1418-1431. (Publication No. : 34898)

     Liu J. and Zhan T., On a theorem of Hua, Archiv der Mathematik. 1997, 69: 375-390. (Publication No. : 34832)

     Liu J., On an error term of Chowla (I), Journal of Number Theory. 1997, 64: 20-35. (Publication No. : 34822)

     Liu J., On an error term of Chowla (II), Journal of Number Theory. 1997, 64: 36-50. (Publication No. : 34823)

     Liu J., On an error term of Chowla (III), Journal of Number Theory. 1997, 64: 51-58. (Publication No. : 34824)

     Liu J. and Zhan T., Sums of five almost equal prime squares (II), Science in China (Series A). 1998, 41: 710-722. (Publication No. : 34838)

     Liu J., Liu M.C. and Wang T., The number of powers of 2 in a representation of large even integers, I (in Chinese), Science in China (Series A). 1997, 28: 1-13. (Publication No. : 37233)

     Liu J., Liu M.C. and Wang T., The number of powers of 2 in a representation of large even integers, I, Science in China, (Series A). 1998, 41:386-398. (Publication No. : 34799)

     Liu J. and Zhan T., The ternary Goldbach problem in arithmetic progressions, Acta Arithmetica. 1997, 82: 197-227. (Publication No. : 34826)

     Liu M.C. and Zhan T., The Goldbach problem with prime in arithmetic progressions, Analytic Number Theory, London Mathematical Society Lecture Note Series. UK, Cambridge University Press, 1997, 247: 227-251. (Publication No. : 34795)

     Mok N., Steinness of universal coverings of certain compact Kähler manifolds, Journal für Reine Angewandte Mathematik. 1997, 498: 1-14. (Publication No. : 35809)

     Mok N., The generalized theorem of Castelnuovo-de Franchis for unitary representations, Geometry from the Pacific Rim. Berlin, Germany, de Gruyter, 1997, 261-284. (Publication No. : 35808)

     Ng K.P., Band preconditioners for block-Toeplitz-Toeplitz-block systems, Linear Algebra and its Applications. 1997, 258: 307-327. (Publication No. : 34899)

     Ng K.P., Circulant Preconditioners for convolution-like integral equations with higher order quadrature rules, Electronic Transactions on Numerical Analysis. 1997, 5: 18-28. (Publication No. : 34896)

     Ng K.P., FFT-based exponential-weighted least squares computations, Linear Algebra and its Applications. 1997, 263: 167-191. (Publication No. : 34902)

     Ng K.P., Preconditioning of elliptic problems by approximation in the transform domain, B I T. 1997, 37: 885-900. (Publication No. : 34905)

     Shpilrain V., Fixed points of endomorphisms of a free metabelian group, Math. Proc. Cambridge Phil. Soc.. 1998, 123: 77-85. (Publication No. : 36438)

     Shpilrain V. and Yu J., Polynomial automorphisms and Gröbner reductions, J. Algebra. 1997, 197: 546-558. (Publication No. : 36448)

     Siu M.K., Estermann and Pythagoras, Mathematical Gazette. London, The Mathematical Association, 1998, 82, No.493: 92-93. (Publication No. : 34401)

     Siu M.K., The ABCD of using history of mathematics in the (undergraduate) classroom, Bulletin of the Hong Kong Mathematical Society. Hong Kong, Gordon & Breach, 1997, 1: 143-154. (Publication No. : 34382)

     Siu M.K., The combinatorics of binary arrays, Journal of Statistical Planning and Inference. New York, USA, Elsevier Science, 1997, 62: 103-113. (Publication No. : 34389)

     Volkov A.K., Counting rods, In: Bud R. and Warner D.J. (eds.), Instruments of Science: an Historical Encyclopedia. 1998, 155-156. (Publication No. : 34858)

     Volkov A.K., Science and Daoism: an introduction, Special issue on science in 14th century China: a case study of Daoist master and polymath Zhao Youqin (1271-1335?). Taiwanese Journal for Philosophy and History of Science. Taipei, Taiwan, Yuan-Liou Publ. Co., 1997, 5(1): 1-58. (Publication No. : 34852)

     Volkov A.K., The mathematical work of Zhao Youqin: remote surveying and the computation of p, Special issue on science in 14th century China: a case study of Daoist master and polymath Zhao Youqin (1271-1335?). Taiwanese Journal for Philosophy and History of Science. Taipei, Taiwan, Yuan-Liou Publ. Co., 1997, 5(1): 129-189. (Publication No. : 34850)

     Volkov A.K., Zhao Youqin and his calculation of p, Historia Mathematica. San Diego, USA, Academic Press, Inc., 1997, 24: 301-331. (Publication No. : 34848)

     Yung S.P., Differential Game with Switching Control on Hilbert Space, Journal of Australian Mathematical Society - Series B. 1997, 39: 230-256. (Publication No. : 36444)

     Yung S.P., Multiprocess Optimal Control Problem on Hilbert Space and Related Hamilton-Jacobi Equation, Nonlinear Analysis, Theory, Methods and Applications. 1997, 29: 1319-1342. (Publication No. : 36407)

     Yung S.P. and Li L.K., Storage of Conceptual Information by Recurrent Neural Networks, Conference On Neural Information Processing. New Zealand, IEEE, 1997. (Publication No. : 53303)

     Yung S.P., Hong Y.G., Mei S.W. and Qin H.S., Viscosity Solution of Nonlinear H-infinity Control, Chinese Science Bulletin. 1997, 42, no.11: 890-893. (Publication No. : 53285)

     Zang W., Coloring graphs with no odd K4, Discrete Mathematics. Amsterdam, North-Holland, Elsevier Science B.V., 1998, 184: 205-212. (Publication No. : 35077)

     Zang W., Proof of Toft's conjecture: every graph containing no fully odd K4 is 3-colorable, Journal of Combinatorial Optimization. Boston, USA, Kluwer Academic Publishers, 1998, 2: 117-188. (Publication No. : 35074)

  Conference and working papers

     Chu S.C.K., Performance analysis for a hospital pneumatic tube system, Proceedings of the 22nd International Conference on Computers and Industrial Engineering, Cairo, Egypt. 1997, 631-634. (Publication No. : 35900)

     Hwang J. and Mok N., Characterization and deformation-rigidity of compact irreducible Hermitian symmetric spaces of rank >=2 among Fano manifolds, Proceedings of the International Conference of Algebra and Geometry, Taipei, December 1995. Boston, USA, International Press, 1998, 15-46. (Publication No. : 35820)

     Ng K.P., Huang Z. and Hegland M., Data-mining massive time series astronomical data - a case study, Proceedings of 2nd Pacific-Asia Conference on Knowledge Discovery and Data Mining, Lecture Notes in Artifical Intelligence. Springer-Verlag, 1998, 1394: 401-402. (Publication No. : 35008)

     Ng K.P., Qiao S. and Plemmons B., Regularized blind deconvolution using recursive inverse filtering, Proceedings of the Workshop on Scientific Computing. Springer-Verlag, 1997, 110-132. (Publication No. : 35006)

     Ng K.P. and Huang Z., Temporal data mining with a case study of astronomical data analysis, Proceedings of the Workshop on Scientific Computing. Springer-Verlag, 1997, 258-264. (Publication No. : 35003)

     Siu M.K., Core Curriculum = Second Class Curriculum? Core Curriculum = Core Syllabus?, Hong Kong Mathematics Education Conference Collected Paper 95-97. Hong Kong, Hong Kong Association for Mathematics Education, 1998, 12-19. (Publication No. : 34403)

     Tso P.S., Tang T.M. and Shea K.L., Optimal Investment Sequence, Economic Theory. Springer, 1998. (Publication No. : 36211)

     Volkov A.K., Calculation of areas and volumes in medieval Chinese mathematics, XXth International Congress on the History of Science-Liège, Belgium, August 1997. (Publication No. : 34856)

  Reviews, translations and other written outputs

     Cheung W.S., A supersymmetry approach to Poisson structures over differential equations, Mathematical Reviews. USA, American Math. Soc., 1997, 97g: 58185. (Publication No. : 34591)



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