P U B L I C A T I O N S

Note: (SCI) --- Science Citation Index list, (ERIC) --- Education Resources Information Center index list, (BEI) -- British Education Index list, (SCI Expanded) --- Science Citation Index Expanded list,

  1. ``Generating Sudoku Puzzles and its Applications in Teaching Mathematics'', International Journal of Mathematical Education in Science and Technology, 42 (5), pp 697 --- 704, 2011.(with Ryan Evans and Brett Lindner)
  2. ``Hot Money vs. Cool Money -- A Probability Model for the Trend of Investment Cash Flow'', Proceedings of 2011 International Conference on Financial Management and Economics, Hong Kong, China, pp 226 --- 230, 2011.
  3. ``A Probability Model for Occurrences of Large Forest Fires'', Proceedings of 2011 International Conference on Forestry and Agriculture Engineering and Computer Science, Wuhan, China, pp 595 --- 597, 2011.
  4. ``Problem Solving, Computer Technology, and Students' Motivation in Learning Mathematics'', Proceedings of 2011 International Workshop on Education Technology and Computer Science, Wuhan, China , pp 197--200, 2011.
  5. ``Markov Chain Equilibrium Models in Estimating Investment Trends'', Proceedings of 2011 International Conference on Financial Theory and Engineering, Shanghai, China, Paper X00003, 2011.
  6. ``Solving Linear Systems Embedded in Interior Point Methods'', Proceedings of 2010 International Workshop on Database Technology and Applications, Wuhan, China, pp 76 -- 78, 2010.
  7. "Sum-Difference Numbers", College Mathematics Journal, Published by the Mathematical Association of America (MAA), 41(5), pp 404 -- 405, 2010.
  8. ``A Markov Chain Model for the Trend of E-Learning", Proceedings of 2010 International Workshop on Education Technology and Computer Science (ETCS 2010), Wuhan, China, Vol. 1, pp 162 -- 165, 2010.
  9. ``Examples of Using Computer Technology in Mathematics Education'', Proceedings of 2009 International Symposium on Education and Computer Science (ECS2009), Wuhan, China, Vol. 3, pp 79 -- 81, 2009.
  10. (ERIC) "Applications of a Particular Linear Transformation: Teaching Analytic Geometry and Linear Algebra", Mathematics and Computer Education, 43 (2), pp 109 -- 117, 2009.
  11. (ERIC, BEI) "Applications of a Sequence of Points in Teaching Linear Algebra, Numerical Methods, and Distrete Mathematics", International Journal of Mathematical Education in Science and Technology, 40(3), pp 427 -- 434, 2009.
  12. "Using Vector Division in Solving Nonlinear Systems of Equations", International Journal of Contemporary Mathematical Sciences, 3 (13--16), pp 753 -- 759, 2008
  13. “On the Applications of Markov Chains in Estimating Advertising Effects”, Proceedings of 2008 Global Marketing Conference at Shanghai, Session 7.5, pp 1 -- 8, 2008
  14. ``Strategic Organizational Form Choice Game between Duopoly E-Business Firms with Asymmetric Location'', Proceedings of 2008 International Conference on E-Business, Wuhan, China, pp 106 -- 114, 2008. (With J. Chen and F. Kang)
  15. Notetaking Guide, to accompany Understandable Statistics, 9th Ed. by Brase and Brase, Houghton Mifflin Company, New York, 2008.
  16. Technology Guide Excel 2003 , to accompany Understandable Statistics, 9th Ed. by Brase and Brase, Houghton Mifflin Company, New York, 2008.(with Brase and Brase).
  17. (ERIC, BEI) “Case Study Projects for College Mathematics Courses Based on a Particular Function of Two Variables", International Journal of Mathematical Education in Science and Technology, 38 (4), pp 555-566, 2007.
  18. “Modified quasi-Newton methods for solving systems of linear equations", International Journal of Contemporary Mathematical Sciences, 2 (13-16), pp 737-744, 2007.
  19. “Application of Vector Division in Solving Systems of Linear Equations", Neural, Parallel & Scientific Computations, 14 (4), pp 351-358, 2006.
  20. Technology Guide, to accompany Understandable Statistics, 8th Ed. by Brase and Brase, Houghton Mifflin Company, New York, 2005.(with Brase and Brase).
  21. (ERIC) “Using a Sequence of Number Pairs as an Example in Teaching Mathematics", Mathematics and Computer Education, 39 (3), pp 198 -- 205, 2005(with E. Mauch).
  22. "
    Use of Case Studies and Student Projects in Mathematics Education", Proceedings of the Third East Asia Regional Conference on Mathematics Education, Symposium 1, Papers CD, 2005.
  23. (SCI) “A projected-steepest-descent potential-reduction algorithm for convex programming problems", Numerical Linear Algebra with Applications, 11, pp 883 -- 893, 2004.
  24. (ERIC, BEI) “One approach to explore a range of problem solving strategies in the classroom", International Journal of Mathematical Education in Science and Technology, 35 (6), pp 912 -- 917, 2004 (with E. Mauch).
  25. “On the projected descent direction methods for solving convex programming problems", Neural, Parallel & Scientific Computations, 11(4), pp 445 -- 455, 2003.
  26. (ERIC, BEI) “Using volleyball games as examples in teaching mathematics", Teaching Mathematics and its Applications, 22(2), pp 53 -- 62, 2003.
  27. (ERIC) “Application of linear Diophantine equation in teaching mathematical Thinking", Mathematics and Computer Education, 37(2), pp 240 -- 247, 2003(with E. Mauch).
  28. “Computing for secondary education mathematics majors", Proceedings of the 15th Annual International Conference on Technology in Collegiate Mathematics, pp 177 -- 181, 2002 (with L. Lister).
  29. (SCI) “A combination of potential reduction steps and steepest descent steps for solving convex programming problems", Numerical Linear Algebra with Application, 9, pp 195 -- 202, 2002.
  30. (ERIC) "Volleyball scoring systems", Mathematics and Computer Education, 36(1), pp 70 -- 79, 2002(with W. Calhoun and R. Noubary).
  31. “Seismic hazard calculation based on sizes and inter-arrival times", Journal of Applied Statistical Science, 10(4), pp 343 -- 356, 2001,(with R. Noubary).
  32. “Iterative methods for solving complex equations", Communications in Applied Analysis, 5(1), pp 39 -- 48, 2001.
  33. “On the computational cost of a hybrid algorithm for solving convex programming problems", in Optimization Techniques and Applications, Proceedings of International Conference on Optimization Techniques and Applications (ICOTA'01), Vol. 4, pp 1877 -- 1884, 2001.
  34. “Application of mathematical modeling to sport records", PCTM Magazine,Spring Issue, pp 32 --33, 2001.
  35. (SCI) "Globally convergent algorithms for unconstrained optimization", Computational Optimization and Applications, 16, pp 295 -- 308, 2000.
  36. (SCI Expanded) “An algorithm for studying the digit sum of large integers", International Journal of Computer Mathematics, 74, pp 159 -- 165, 2000.
  37. (ERIC, BEI) “The game PIG: making decisions based on mathematical thinking", Teaching Mathematics and its Applications, 19(1), pp 30 -- 34, 2000
  38. “Improving the order of convergence to Euler's constant", International Journal of Applied Mathematics, 1(5), pp 583 -- 586, 1999. (with D. Ashelman).
  39. "Some computational aspects in solving nonlinear systems", International Journal of Applied Mathematics, 1(5), pp 511 -- 519,1999.
  40. (ERIC) “A mathematical study of the game Twenty Four Points", Mathematics Teacher, published by the National Council of Teachers of Mathematics (NCTM), 92(9), pp 828 -- 832, 1999.
     
  41. “Computation of periodogram using a Jackknife procedure and its applications", in Recent Advances in Numerical Methods and Applications, edited by O.P. Iliev et al., World Scientific Publishing Co., Proceedings of the Fourth International Conference on Numerical Methods and its Applications (NMA'98), Vol. 2, pp 869 -- 877, 1999 (with R. Noubary).
  42. (SCI) “Difference equation models for estimating athletic records", Journal of Computational and Applied Mathematics, 91, pp 107 -- 122,1998 (with R. Noubary).
  43. “An optimization procedure for solving n m nonlinear systems and its applications", in Optimization Techniques and Applications, edited by L. Caccetta et al., Curtin Printing Services, Proceedings of International Conference on Optimizaiton Techniques and Applications (ICOTA'98), Vol.1, pp 481 -- 486, 1998.
  44. " (SCI Expanded) Improving the efficiency index in enclosing a root of an equation", Reliable Computing, 2(4), pp 357 -- 372, 1996.
  45. (SCI) “A globalization procedure for solving nonlinear systems of Equations", Numerical Algorithms, 12, pp 272 -- 286, 1996.
  46. “A method for parameter estimation of a non--linear signal, linear filter and autocorrelated noise? Journal of Applied Statistical Science, 3(2), pp 219 -- 237, 1996 (with R. Noubary).
  47. “A note on Brent's rootfinding method", Numerical Methods and Error Bounds, Volume 89 of Mathematical Research, edited by G. Alefeld and J. Herzberger, Akademie Verlag, Berlin,Proceedings of International Symposium on Numerical Methods and Error Bounds, pp 188 -- 197, 1996 (with F. Potra).
  48. “Solving nonlinear systems using a global-local procedure", Zeitschrift f r Angewandte Mathematik und Mechanik, Vol. 76, Suppl. 1, Proceedings of International Congress on Industrial and Applied Mathematics, pp 539 -- 540, 1996.
  49. “Some computational aspects of interior point methods for linear, quadratic, and convex programmings", in Optimization Techniques and Applications, edited by G. Liu et al., World Scientific Publishing Co. Proceedings of International Conference on Optimizaiton Techniques and Applications (ICOTA'95), Vol. 1, pp 174 -- 181, 1995.
  50. (SCI) “Enclosing simple roots of continuous functions", ACM Transaction of Mathematical Software, 21(3), pp 327 -- 344, 1995,(with G. Alefeld and F. Potra).
  51. “ENCLOFX(a Fortran/77 package for enclosing a zero of a continuous function),  in ACM Netlib Algorithms Library, Alg. TOMS -- 748, 1995, (with G. Alefeld and F. Potra).
  52. (SCI) “Efficient line search algorithm for unconstrained optimization", Journal of Optimization Theory and Applications, 85(3), pp 677 -- 704, 1995, (with F. Potra).
  53. (SCI) “Solving linear systems involved in constrained optimization", Linear Algebra and Its Application, 229, pp 175 -- 189, 1995.
  54. (SCI) “On enclosing simple roots of nonlinear equations", Mathematics of Computation, published by the American Mathematics Society (AMS), 61(204), pp 733 -- 744, 1993,(with G. Alefeld and F. Potra).

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