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. The solution of the distance geometry problem in protein modeling via geometric buildup'' (with D. Wu and Z.J. Wu), Biophysical Reviews and Letters 3(2008), DOI: 10.1142/S1793048008000617
  108. ``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.
  109. ``Subspace methods for large scale nonlinear equations and nonlinear least squares'', Optimizaiton and Engineering 10(2009) 207-218.
  110. ``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.
  111. ``A new trus region algorithm for nonlinear constrained optimization'', (with L.F. Niu) Journal of Computational Mathematics 28(2010) 72-86.
  112. ``A short note on the Q-linear convergence of the steepest descent method'', Mathematical Programming 123(2010) 339-343.
  113. ``Using truncated conjugate gradient method in trust region method with two subproblems and backtracking line search'', (with M.Y. Tang) Computational & Applied Mathemtics 29(2010) 89-106.
  114. A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties, (with X.W. Liu), Mathematical Programming 125 (2010) 163-193.
  115. ``Gradient methods for large scale convex quadratic functions'', in: Y.F. Wang, A. Yagola and C. Yang eds., Optimization and Regularization for Computational Inverse Problems and Applications , (Higher Education Press, 2010), pp. 141-155.
  116. ``Modeling and algorithms of GPS data reduction for the Qinghai¨CTibet railway'' (with D.W. Chen, Y.S. Fu and B.G. Cai), IEEE Transactions on Intelligent Transportation Systems , 11:3(2010) , 753 - 758.
  117. ``Componentwise error bounds for linear complementarity problems'', (with Z.Y. Wang), IMA J. Numer. Anal. 31(2011), 348-357.
  118. ``A trust region algorithm for Nash equilibrium problems'', Pacific Journal of Optimization , 7:1(2011), 125-138.
  119. ``Recent Advances in Numerical Methods for Nonlinear Equations and Nonlinear Least Sqaures'', Numerical Algebra, Control and Optimization 1:1(2011) 15-34.
  120. ``Uniform bounds on the 1-norm of the inverse of lower triangular Toeplitz matrices'', (with X. Liu, S. McKee and J.Y. Yuan), Linear Algebra and its Applications 435(2011) 1157-1170.
  121. ``A sequential quadratic programming method without a penalty function or a filter for nonlinear equality constrained optimization'' (with X.W. Liu), SIAM J. Optimization 21(2011) 545-571.
  122. ``A parallel decomposition algorithm for training multiclass kernel-based vector machines'' (with L.F. Niu), Optimization Methods and Software 26(2011) 431-454. C. Sun and {\bf Ya-xiang Yuan}
  123. ``A fast algorithm for beamforming problems in distributed communication of relay networks'' (with C. Sun), Proceeding of the 2011 IEEE International Conference on Acoustic Speech and Signal Processing, ICASSP, 2011, pp. 3304-3307.
  124. "Low complexity interference alignment algorithms for desired signal power maximization problem of MIMO channels"£¬ (with C. Sun and Y.C. Yang) EURASIP Journal on Advances in Signal Processing, 2012:137, (doi: 10.1186/1687-6180-2012-137, Jul. 2012.)
  125. ``A trust region method based on a new affine scaling technique for simple bounded optimization'' (with X. Wang), Optimization Methods and Software 28:4(2013) 871-888. DOI: 10.1080/10556788.2011.622378
  126. "A cone constrained convex program: structure and algorithms" (with L.Q. Qi, Yi Xu and X.Z. Zhang), J. the Operations Research Society of China, Vol. 1 (2013) 37-53.
  127. "A counter-example to a conjecture of Ben-Tal, Nemirovski and Roos" , J. the Operations Research Society of China, Vol. 1 (2013) 155-157.
  128. "Stability and allocation in a three-player game", (with L.Q. Wu, X. Chen and Y. Lu) Asia-Pacific Journal on Operational Research, Vol. 30:3 (2013) ( DOI: 10.1142/S0217595913400149 )
  129. "Optimality conditions and smoothing trust region Newton method for non-Lipschitz optimization", (with X.J. Chen and L.F. Niu) SIAM J. Optimization, Vol. 23:3 (2013) 1528-1552.
  130. "Analysis on a superlinearly convergent augmented Lagrangian method" , Acta Mathematics Sinica, English Series, 30:1(2014) 1-10.
  131. "A regularized Newton method for monotone nonlinear equations and its application"£¬ (with J.Y. Fan) Optimization Methods and Software, 29:1(2014), (DOI:10.1080/10556788.2012.746344)
  132. "On the convergence of the self-consistent eld iteration in Kohn-Sham density functional theory", (with X. Liu, X. Wang and Z.W. Wen), SIAM Journal on Matrix Analysis and Applications, 35(2014) 546-558.