PUBLICATIONS OF Y. YUAN

  1. ``Error bounds for cubic splines interpolation''(in Chinese), Natural Science J. Xiangtan University No. 2 (1982) 95-110.
  2. ``Some properties of trust region algorithms for nonsmooth optimization'', Report DAMTP 1983/NA4, University of Cambridge,England.
  3. ``Global convergence of trust region algorithms for nonsmooth optimization'', Report DAMTP 1983/NA13, University of Cambridge,England.
  4. Trust region Algorithms for Nonsmooth Optimization(December, 1983) J.T. Knight Prize winner at the University of Cambridge.
  5. ``On the least Q-order of convergence of variable metric algorithms'', IMA J. Numerical Analysis 4(1984) 233-239.
  6. ``Conditions for superlinear convergence in $l_1$ and $l_\infty$ solutions of overdetermined nonlinear equations'',(with M.J.D. Powell) IMA J. Numerical Analysis 4(1984) 241-251.
  7. ``An example of only linearly convergence of trust region algorithms for nonsmooth optimization'', IMA J. Numerical Analysis 4(1984) 327-335.
  8. ``Conditions for convergence of trust region algorithms for nonsmooth optimization'', Mathematical Programming 31(1985) 220-228.
  9. ``On the superlinear convergence of a trust region algorithm fornonsmooth optimization'', Mathematical Programming 31(1985) 269-285.
  10. ``An only 2-step Q-superlinear convergence example for some algorithms that use reduced Hessian approximation'', Mathematical Programming 32(1985) 224-231.
  11. Some Theories and Algorithms in Nonlinear Programming (Ph. D.Thesis, December, 1985) University of Cambridge.
  12. ``A recursive quadratic programming algorithm that use differentiable exact penalty function'', (with M.J.D. Powell) Mathematical Programming 35(1986) 265-278.
  13. ``Some results in nonsmooth optimization'', J. Computational Mathematics 5(1987) 74-88.
  14. ``Global convergence of a class of quasi-Newton methods on convex problems'', (with R. Byrd and J. Nocedal) SIAM J. Numerical Analysis 4(1987) 1171-1190.
  15. ``The state of Art of nonlinear programming'' (in Chinese) Chinese J. of Operations Research 8(1989) 12-22. English translation published as:``Nonlinear programming - a review'', Advances in Mathematics (China) 19(1990) 12-24.
  16. ``On a subproblem of trust region algorithms for constrained optimization'', Mathematical Programming 47(1990) 53-63.
  17. ``A trust region algorithm for equality constrained optimization''(with M.J.D. Powell), Mathematical Programming 49(1991) 189-211.
  18. ``A dual algorithm for minimizing a quadratic function with two quadratic constraints'', J. Comput. Math. 9(1991) 348 -- 359.
  19. ``A modified BFGS algorithm for unconstrained optimization'', IMA J. Numerical Analysis 11(1991) 325-332.
  20. ``On self-dual update formulae in the Broyden family'', Optimization Methods and Software 1(1992) 117-127.
  21. ``A short note on an $L_1$ minimization algorithm'' (with Z.Q. Yang), J. Comput. Math. 10(1992) 291-295.
  22. ``A quadratic convergence method for one dimensional optimization'' (with H.J. Wang, in Chinese), Chinese J. of Operations Research 11(1992) 1-10.
  23. Numerical Methods for Nonlinear Programming (in Chinese), (Shanghai Science and Technology Publisher, Shanghai, 1993).
  24. ``Analysis of a self-scaling quasi-Newton method'' (with J. Nocedal), Mathematical Programming 61(1993) 19-37.
  25. ``A new trust region algorithm for nonlinear optimization'',in: D. Bainov and V. Covachev, eds. Numerical Analysis (VSP, Zeist, 1993) pp. 141--152.
  26. ``Analysis on the conjugate gradient method'', Optimization Methods and Software 2(1993) 19-29.
  27. ``Properties of $\Phi$ function and its application'', (with J.M. Peng, in Chinese) Chinese Numerical Mathematics (1994) 102-107.
  28. ``$\Phi_\alpha $ function and Broyden family'', (with J.M. Peng, in Chinese) Chinese Numerical Mathematics 16(1994) 204-210.English Translation published in: Chinese J. Num. Math. & Appl. 16:2(1994) 97--106.
  29. ``Convergences of trust region methods'', Chinese Numerical Mathematics 16(1994) 333-346. English Translation published in: Chinese J. Num. Math. & Appl. 16:4(1994) 92--106.
  30. ``Trust region algorithms for constrained optimization'', in: J.Z. Cui, Z.C. Shi and D.L. Wang, eds., Proceedings of Conference on Scientific and Engineering Computingfor Young Chinese Scientists (National Defence Industry Press,Beijing, 1994) pp. 105 --110.
  31. ``Trust region algorithms for nonlinear programming'',in Z.C. SHi, ed. Contemporary Mathematics Vol 163(American Mathematics Society, 1994), pp. 205 --225.
  32. ``Nonlinear Programming: trust region algorithms'',in: S.T. Xiao and F. Wu, eds., Proceedings of Chinese SIAM annual meeting (Hsinghua University,Beijing, 1994) pp. 83 --97.
  33. ``A subspace study on conjugate gradient algorithms''(with J. Stoer), ZAMM Z. angew. Math. Mech 75(1995) 69-77.
  34. ``Non-quasi-Newton updates for unconstrained optimization'' (with Richard H. Byrd), J. Computational Mathematics 13(1995) 95-107.
  35. ``On the convergence of a new trust region algorithm'', Numerische Mathematik 70(1995) 515-539.
  36. ``Convergence of DFP algorithm'', Science in China (Series A) 38(1995) 1281--1294.
  37. ``Convergence properties of the Fletcher-Reeves method'' (with Y.H. Dai) IMA J. Numer. Ana. 16 (1996) 155-164.
  38. ``A short note on the Duff-Nocedal-Reid algorithm'',Bulletin of South East Asian Mathematics Society 20(1996) 137-144.
  39. ``Convergence of the Fletcher-Reeves method uder a generalized Wolfe search'', (with Y.H. Dai, in Chinese), Chinese Universities J. of Computational Mathematics 18(1996) 142-148.
  40. ``Global convergence of the method of shortest residuals'' (with Y.H. Dai), in: Q.C. Zeng and D.Q. Li, eds., Proceedings of Chinese SIAM annual meeting (Fudan University,Shanghai, 1996) pp. 572 -- 575.
  41. ``Convergence properties of conjugate descent method'' (with Y.H. Dai), Advances in Mathematics (China), 25(1996) 552--562.
  42. ``Trust region methods for nonlinear programming''(in Chinese), in:C.G. Feng, H.Q. Li, Y.G. Zu, eds., Theories, Methods and Applications of Nonlinear Sciences(Science Publisher, Beijing, 1997),pp.57--64.
  43. Optimization Theories and Methods(with W.Y. Sun, in Chinese), Science Press, Beijing, 1997.
  44. ``From quasi-Newton methods to non-quasi-Newton methods'', Progress in Natural Science 7(1997) 14-23.
  45. ``Unconstrained methods for generalized complementarity problems'', (withJ.M. Peng) J. Comp. Math. 15(1997) 253-264.
  46. ``SLMQN: A FORTRAN code of subspace limited memory quasi-newton method for large-scale bound constrained nonlinear optimization'' (with Q. Ni, in Chinese),J. on Numerical Methods and Computer Applications 18(1997) 173--179.
  47. ``Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints'' (with J.M. Peng),SIAM J. Optimization 7(1997) 579-594.
  48. ``A simple multi-start algorithm for global optimization'' (with F. Hickernell), Operational Research Transaction (China) 1(1997) no.2. 1--12.
  49. ``A subspace limited memory quasi-Newton algorithm for large-scale nonlinear bound constrained optimization'' (with Q. Ni), Mathematics of Computations 66(1997) 1509--1520.
  50. ``A stronger extension of the Hardy inequality'' (with L.H. Wang), Linear Algebra and Appln. 270(1998) 275--286.
  51. ``Combining trust region and line search techniques'' (with J. Nocedal), in: Y. Yuan, ed. Advances in Nonlinear Programming(Kluwer, 1998), pp. 153--175.
  52. ``An example of non-convergence of trust region algorithms''. in: Y. Yuan, ed. Advances in Nonlinear Programming(Kluwer, 1998), pp. 205--215.
  53. ``Some Properties of a new conjugate gradient method'' (with Y.H. Dai), in: Y. Yuan, ed. Advances in Nonlinear Programming(Kluwer, 1998), pp. 251--262.
  54. ``Matrix computation problems in trust region algorithms for optimization'', in: Q.C. Zeng, T.Q. Li, Z.S. Xue and Q.S. Cheng, eds.Proceedings of the 5th CSIAM annual meeting, (Tsinghua University Press, Beijing, 1998)pp. 52--64.
  55. ``Convergence properties of Beale-Powell restartalgorithm'' (in Chinese, with Y.H. Dai),Science in China, 28(1998) 424--432. English Translation: ``Convergence properties of Beale-Powell restartalgorithm'' (with Y.H. Dai), Science in China41(1998) 1142-1150. MR 99m:90129
  56. ``Trust region algorithms for nonlinear equations'', Information 1(1998) 7--20.
  57. ``Problems on convergence of unconstrained optimization algorithms'', in: Y. Yuan, ed., Numerical Linear Algebra and Optimization (Science Press, Beijing, New York, 1999), pp. 95--107.
  58. ``Optimality conditions for CDT subproblem'' (with X.D. Chen),in: Y. Yuan, ed., Numerical Linear Algebra and Optimization (Science Press, Beijing, New York, 1999), pp. 111 --121.
  59. ``A note on quadratic forms'' (with Xin Chen), Math. Program., 86 (1999) 187-197.
  60. ``Global convergence of the method of shortest residuals'' (with Y.H. Dai), Numer. Math. 83(1999) 581-598.
  61. ``Strong duality for a trust-region type relaxation of the quadratic assignment problem'', (with K. Anstreicher, X. Chen and H. Wolkowicz), Linear Algebra and its Appl. 301(1999) 121-136.
  62. ``A nonlinear conjugate gradient method with a strong global convergence property'', (with Y.H. Dai) SIAM J. Optimization 10(1999) 177-182.
  63. ``Convergence properties of nonlinear conjugate gradient methods'', (with Y.H. Dai, J.Y. Han, D.F. Sun, and H.Y. Yin), SIAM J. Optimization 10(1999) 345-358.
  64. ``On local solutions of the CDT subproblem'' (with X.D. Chen), SIAM J. Optimization 10(1999) 359-383.
  65. ``Convergence of three-term conjugate gradient methods'' (with Y.H. Dai) Math. Mumer. Sinica 21(1999) 355-362; Translated in Chinese J. Numer, Math. 21(1999) 69-78.MR 2001b:90091
  66. ``A potential reduction algorithm for an extended SDP problem'', (with J.W. Nie) Science in China 43(2000) 35--46.
  67. ``On the truncated conjugate gradient method'', Math. Prog. 87(2000) 561-571.
  68. ``A robust algorithm for optimization with general equality and inequality constraints''(with X.W. Liu), SIAM J. Sci. Comp. 22(2000) 517-534.
  69. ``A review of trust region algorithms for optimization'', in: J.M. Ball and J.C.R. Hunt, eds., ICM99: Proceedings of the Fourth International Congress on Industrial and Applied Mathematics, (Oxford University Press, 2000) pp. 271--282.
  70. Nonlinear Conjugate Gradient Methods (with Y.H. Dai, In Chinese), (Shanghai Science and Technology Publisher, Shanghai, 2000).
  71. ``A scaled central path for linear programming'', Journal of Comp. Math. 19(2001) 35-40.
  72. ``On maxima of dual function of the CDT subproblem'' (with X.D. Chen), Journal of Comp. Math. 19(2001) 113-124.
  73. ``A three-parameter family of nonlinear conjugate gradient methods'', (with Y.H. Dai), Math. Comp. 70(2001) 1155-1167.
  74. ``A robust trust region algorithm for solving general nonlinear programming'', (With X.W. Liu), Journal of Comp. Math. 19(2001) 309-322.
  75. ``A null space algorithm for constrained optimization'', in: Z.C. Shi et al eds., Advances in Scientific Computing (Science Press, Beijing/New York, 2001) pp. 210-218.
  76. ``An efficient hybrid conjugate gradient method for unconstrained optimization'' (with Y.H. Dai), Annals of OR, 103(2001) 33-47.
  77. ``A predictor-corrector algorithm for QSDP combing Dikin-type andNewton centering steps'' (with J.W. Nie), Annals of OR, 103(2001) 115-133.
  78. `` A conic trust-region method for nonlinearly constrained optimization''(with Sun W.Y.), Annals of OR 103(2001) 175-191.
  79. ``An Extended Class of Nonlinear Conjugate Gradient Methods'' (with Y.H. Dai), in: D. Li ed. Proceedings of the 5th International Conference on Optimization: Techniques and Applications (December 2001, Hongkong), pp. 778-785.
  80. ``A new trust region algorithm with trust region radius converging to zero'' (with J.Y. Fan),in: D. Li ed. Proceedings of the 5th International Conference on Optimization: Techniques and Applications (December 2001, Hongkong),pp. 786--794.
  81. ``A trust region-CG algorithm for deblurring problem in Atmospheric image reconstruction''(with Y.F. Wang and H.C. Zhang), Science in China 45(2002) 731--740.
  82. ``On the regularity of a trust region-CG algorithm for nonlinearill-posed inverse problems''(with Y.F. Wang), in: T. Sunada,P.W. Sy and Y. Lo eds., Proceedings of the Third Asian Mathematicial Conference 2002, (World Scientific, Singapore, 2002) pp. 562--580.
  83. ``Modified two-point stepsize gradient methods for unconstrained optimization'' (with Y.H. Dai and J.Y. Yuan), Computational Optimization and Applications 22(2002) 103--109.
  84. ``A note on the nonlinear conjugate gradient method'',(with Y.H. Dai), Journal of Comp. Math. 20(2002) 575-582.
  85. ``Linear systems associated with numerical methods for constrained optimization'', Journal of Comp. Math. 21(2003) 71-84.
  86. ``A Class of globally convergent conjugate gradient methods''(with Y.H. Dai), Science in China 46(2003) 253-261.
  87. ``Conic Trust region method for linearly constrained optimization'', (with W.Y. Sun and J.Y. Yuan) J. Comp. Math. 21(2003) 295-304.
  88. ``Alternate minimization gradient method'' (with Y.H. Dai), IMA J. Num. Anal. 23(2003) 377-393.
  89. ``Some Problems in nonlinear programming'', in: Y.Yuan, ed. Numerical Linear Algebra and Optimization (Science Press, Beijing/NewYork, 2003) pp. 98-110.
  90. ``A trust region method for solving distributed parameter identification problems''(with Y.F. Wang), Journal of Comp. Math. 21(2003) 759-772.
  91. ``A subspace trust region method for large scale unconstrained optimization'' (with Z.H. Wang and Z.W. Wen),in: Y.Yuan, ed. Numerical Linear Algebra and Optimization (Science Press, Beijing/NewYork, 2004) pp. 265-274.
  92. "Convergence and regularity of trust region methods for nonlinear ill-posed inverse problems" (with Y.F. Wang), Inverse Problems 21(2005) 821-838.
  93. ``On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption''(with J.Y. Fan), Computing 74(2005) 23-39.
  94. ``Analysis of monotone gradient methods''(with Y.H. Dai), J. Industrial and Management Optimization 1(2005) 181-192.
  95. ``Computing a Celis-Dennis-Tapia step''(with G.D. Li), J. Comput. Math. 23(2005) 463-478.
  96. ``A new stepsize for the steepest descent method'' Journal of Computational Mathematics 24(2006) 149-156.
  97. ``A new linearization method for quadratic assignment problems'', (with Y. Xia), Optimization Methods and Software 21(2006) 805-818.
  98. ``Step-sizes for the gradient method", in: K.S. Liu, Z.P. Xin and S.T. Yau, eds., Third International Congress of Chinese Mathematicians (AMS/IP Studies in Advanced Mathematics, 2008), pp 785-796.
  99. ``Disturbed sparse linear equations over 0-1 finite field''(with Z.Z. Zheng), J. Comput. Math. 24(2006) 357-364.
  100. ``A Subspace implementation of quasi-Newton trust region methods for unconstrained optimization''(with Z.H. Wang), Numerische Mathematik 104(2006) 241-269.
  101. ``Subspace techniques for nonlinear optimization'', in: R. Jeltsch, D.Q. Li and I. H. Sloan, eds., Some Topics in Industrial and Applied Mathematics (Series in Contemporary Applied Mathematics CAM 8) (Higher Education Press. Beijing, 2007) pp. 206-218.
  102. ``An interior-point trust-region algorithm for general symmetric cone programming''(with Y. Lu), SIAM J. Optim. 18(2007) 65-86.
  103. ``An interior-point trust-region polynomial algorithm for convex quadratic minimization subject to convex constraints''(with Y. Lu), Optimizaiton Methods and Software 23(2008) 251-258.
  104. ``Rigid vesus unique determination of protein structures with geometric buildup'', (with D. Wu and Z.J, Wu), Optimization Letters 2(2008) 319-331.
  105. Computational Methods for Nonlinear Optimization (in Chinese), Science Press, Beijing, China, 2008.
  106. ``On the separable nonlinear least squares problems'' (with X. Liu), J. Comput. Math. 26(2008) 390-403.
  107. ``Regularization active set method for nonnegatively constrained ill-posed multichannel image restoration problem'' (with Y.F. Wang, J.J. Cao, C.C. Yang and N.H. Xiu), Applied Optics 48(2009) 1389-1401.
  108. ``Subspace methods for large scale nonlinear equations and nonlinear least squares'', Optimizaiton and Engineering 10(2009) 207-218.
  109. ``A geometric buildup algorithm for the solution of the distance geometry problem using least-squares approximation", (with A. Sit and Z.J. Wu) Bulletin of Mathematical Biology, 71 (2009), 1914-1933.
  110. ``A new trus region algorithm for nonlinear constrained optimization'', (with L.F. Niu) Journal of Computational Mathematics 28(2010) 72-86.
  111. ``A short note on the Q-linear convergence of the steepest descent method'', Mathematical Programming 123(2010) 339-343.
  112. A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties, (with X.W. Liu), accepted by Mathematical Programming
  113. ``Gradient methods for large scale convex quadratic functions'', Presented at workshop ``Optimization and Regularization for Computational Inverse Problems & Applications'' (Inst. Geology & Geophysics, CAS, July, 2008), to appear in: Y.F. Wang, A. Yagola and C. Yang eds., Optimization and Regularization for Computational Inverse Problems and Applications , (Higher Education Press, 2009).
  114. ``Componentwise error bounds for linear complementarity problems'', (with Z.Y. Wang) to appear in: IMA J. Numer. Anal.
  115. ``A trus region algorithm for Nash equilibrium problems'', accepted by Pacific Journal of Optimization