PUBLICATIONS OF Y. YUAN
 ``Error bounds for cubic splines interpolation''(in Chinese),
Natural Science J. Xiangtan University No. 2 (1982) 95110.

``Some properties of trust region algorithms for nonsmooth optimization'',
Report DAMTP 1983/NA4, University of Cambridge,England.

``Global convergence of trust region algorithms for nonsmooth optimization'',
Report DAMTP 1983/NA13, University of Cambridge,England.
 Trust region Algorithms for Nonsmooth Optimization(December, 1983)
J.T. Knight Prize winner at the University of Cambridge.

``On the least Qorder of convergence of variable metric algorithms'',
IMA J. Numerical Analysis 4(1984) 233239.
 ``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) 241251.

``An example of only linearly convergence of trust region algorithms
for nonsmooth optimization'', IMA J. Numerical Analysis 4(1984) 327335.

``Conditions for convergence of trust region algorithms for nonsmooth optimization'',
Mathematical Programming 31(1985) 220228.

``On the superlinear convergence of a trust region algorithm fornonsmooth optimization'',
Mathematical Programming 31(1985) 269285.

``An only 2step Qsuperlinear convergence example for some algorithms
that use reduced Hessian approximation'',
Mathematical Programming 32(1985) 224231.

Some Theories and Algorithms in Nonlinear Programming (Ph. D.Thesis, December, 1985)
University of Cambridge.

``A recursive quadratic programming algorithm that use differentiable
exact penalty function'', (with M.J.D. Powell) Mathematical Programming 35(1986) 265278.
 ``Some results in nonsmooth optimization'', J. Computational Mathematics 5(1987) 7488.

``Global convergence
of a class of quasiNewton methods on convex problems'', (with R. Byrd and J. Nocedal)
SIAM J. Numerical Analysis 4(1987) 11711190.
 ``The state of Art of nonlinear programming'' (in Chinese) Chinese J. of
Operations Research 8(1989) 1222.
English translation published as:``Nonlinear programming  a review'',
Advances in Mathematics (China) 19(1990) 1224.

``On a subproblem of
trust region algorithms for constrained optimization'', Mathematical Programming 47(1990) 5363.

``A trust region algorithm for equality constrained optimization''(with M.J.D. Powell),
Mathematical Programming 49(1991) 189211.

``A dual algorithm for minimizing a quadratic function with two quadratic constraints'',
J. Comput. Math. 9(1991) 348  359.

``A modified BFGS algorithm for unconstrained optimization'',
IMA J. Numerical Analysis 11(1991) 325332.
 ``On selfdual update formulae in the Broyden family'',
Optimization Methods and Software 1(1992) 117127.
 ``A short note on an $L_1$ minimization algorithm'' (with Z.Q. Yang),
J. Comput. Math. 10(1992) 291295.
 ``A quadratic convergence method for one dimensional optimization''
(with H.J. Wang, in Chinese), Chinese J. of Operations Research 11(1992) 110.
 Numerical Methods for Nonlinear Programming (in Chinese),
(Shanghai Science and Technology Publisher, Shanghai, 1993).

``Analysis of a selfscaling quasiNewton method'' (with J. Nocedal),
Mathematical Programming 61(1993) 1937.
 ``A new trust region algorithm for nonlinear optimization'',in: D. Bainov and V. Covachev, eds.
Numerical Analysis (VSP, Zeist, 1993) pp. 141152.

``Analysis on the conjugate gradient method'',
Optimization Methods and Software 2(1993) 1929.
 ``Properties of $\Phi$ function and its application'', (with J.M. Peng, in Chinese)
Chinese Numerical Mathematics (1994) 102107.
 ``$\Phi_\alpha $ function and Broyden family'', (with J.M. Peng, in Chinese)
Chinese Numerical Mathematics 16(1994) 204210.English Translation published in:
Chinese J. Num. Math. & Appl. 16:2(1994) 97106.
 ``Convergences of trust region methods'', Chinese Numerical Mathematics
16(1994) 333346. English Translation published in: Chinese J. Num. Math. & Appl.
16:4(1994) 92106.

``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.
 ``Trust region algorithms for nonlinear programming'',in Z.C. SHi, ed.
Contemporary Mathematics Vol 163(American Mathematics Society, 1994), pp. 205 225.

``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.

``A subspace study on conjugate gradient algorithms''(with J. Stoer),
ZAMM Z. angew. Math. Mech 75(1995) 6977.

``NonquasiNewton updates for unconstrained optimization'' (with Richard H. Byrd),
J. Computational Mathematics 13(1995) 95107.

``On the convergence of a new trust region algorithm'',
Numerische Mathematik 70(1995) 515539.
 ``Convergence of DFP algorithm'', Science in China (Series A) 38(1995) 12811294.

``Convergence properties of the FletcherReeves method'' (with Y.H. Dai)
IMA J. Numer. Ana. 16 (1996) 155164.
 ``A short note on the DuffNocedalReid algorithm'',Bulletin of South East
Asian Mathematics Society 20(1996) 137144.
 ``Convergence of the FletcherReeves method uder a generalized Wolfe search'',
(with Y.H. Dai, in Chinese), Chinese Universities J. of Computational Mathematics 18(1996) 142148.
 ``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.
 ``Convergence properties of conjugate descent method'' (with Y.H. Dai),
Advances in Mathematics (China), 25(1996) 552562.
 ``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.5764.
 Optimization Theories and Methods(with W.Y. Sun, in Chinese),
Science Press, Beijing, 1997.
 ``From quasiNewton methods to nonquasiNewton methods'',
Progress in Natural Science 7(1997) 1423.

``Unconstrained methods for generalized complementarity problems'',
(withJ.M. Peng) J. Comp. Math. 15(1997) 253264.

``SLMQN: A FORTRAN code of subspace limited memory quasinewton method
for largescale bound constrained nonlinear optimization''
(with Q. Ni, in Chinese),J. on Numerical Methods and Computer Applications 18(1997) 173179.

``Optimality Conditions for the Minimization of a Quadratic with Two
Quadratic Constraints'' (with J.M. Peng),SIAM J. Optimization 7(1997)
579594.

``A simple multistart algorithm for global optimization''
(with F. Hickernell), Operational Research Transaction (China)
1(1997) no.2. 112.

``A subspace limited memory quasiNewton algorithm for largescale
nonlinear bound constrained optimization'' (with Q. Ni),
Mathematics of Computations 66(1997) 15091520.

``A stronger extension of the Hardy inequality'' (with L.H. Wang),
Linear Algebra and Appln. 270(1998) 275286.

``Combining trust region and line search techniques'' (with J. Nocedal),
in: Y. Yuan, ed. Advances in Nonlinear Programming(Kluwer, 1998), pp. 153175.

``An example of nonconvergence of trust region algorithms''.
in: Y. Yuan, ed. Advances in Nonlinear Programming(Kluwer, 1998), pp. 205215.

``Some Properties of a new conjugate gradient method'' (with Y.H. Dai),
in: Y. Yuan, ed. Advances in Nonlinear Programming(Kluwer, 1998),
pp. 251262.

``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. 5264.

``Convergence properties of BealePowell restartalgorithm'' (in Chinese,
with Y.H. Dai),Science in China, 28(1998) 424432. English Translation:
``Convergence properties of BealePowell restartalgorithm'' (with Y.H. Dai),
Science in China41(1998) 11421150. MR 99m:90129

``Trust region algorithms for nonlinear equations'', Information 1(1998) 720.

``Problems on convergence of unconstrained optimization algorithms'',
in: Y. Yuan, ed., Numerical Linear Algebra and Optimization
(Science Press, Beijing, New York, 1999), pp. 95107.

``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.

``A note on quadratic forms'' (with Xin Chen), Math. Program., 86 (1999) 187197.

``Global convergence of the method of shortest residuals''
(with Y.H. Dai), Numer. Math. 83(1999) 581598.

``Strong duality for a trustregion
type relaxation of the quadratic assignment problem'',
(with K. Anstreicher, X. Chen and H. Wolkowicz), Linear Algebra and its Appl.
301(1999) 121136.

``A nonlinear conjugate gradient method with a strong global convergence property'',
(with Y.H. Dai) SIAM J. Optimization
10(1999) 177182.

``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) 345358.

``On local solutions of the CDT subproblem'' (with X.D. Chen),
SIAM J. Optimization 10(1999) 359383.

``Convergence of threeterm conjugate gradient methods''
(with Y.H. Dai) Math. Mumer. Sinica 21(1999) 355362; Translated in
Chinese J. Numer, Math. 21(1999) 6978.MR 2001b:90091

``A potential reduction algorithm for an extended SDP problem'',
(with J.W. Nie) Science in China 43(2000) 3546.

``On the truncated conjugate gradient method'', Math. Prog.
87(2000) 561571.

``A robust algorithm for optimization with general equality and inequality
constraints''(with X.W. Liu), SIAM J. Sci. Comp. 22(2000) 517534.

``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. 271282.
 Nonlinear Conjugate Gradient Methods (with Y.H. Dai, In Chinese),
(Shanghai Science and Technology Publisher, Shanghai, 2000).

``A scaled central path for linear programming'', Journal of Comp. Math. 19(2001) 3540.

``On maxima of dual function of the CDT subproblem'' (with X.D. Chen),
Journal of Comp. Math. 19(2001) 113124.

``A threeparameter family of nonlinear conjugate gradient methods'',
(with Y.H. Dai), Math. Comp. 70(2001) 11551167.

``A robust trust region algorithm for solving general nonlinear programming'',
(With X.W. Liu), Journal of Comp. Math. 19(2001) 309322.

``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. 210218.

``An efficient hybrid conjugate gradient method for unconstrained optimization''
(with Y.H. Dai), Annals of OR, 103(2001) 3347.

``A predictorcorrector algorithm for QSDP combing Dikintype andNewton centering steps''
(with J.W. Nie), Annals of OR, 103(2001) 115133.

`` A conic trustregion method for nonlinearly constrained optimization''(with Sun W.Y.),
Annals of OR 103(2001) 175191.

``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. 778785.

``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. 786794.

``A trust regionCG algorithm for deblurring problem in Atmospheric
image reconstruction''(with Y.F. Wang and H.C. Zhang),
Science in China 45(2002) 731740.

``On the regularity of a trust regionCG algorithm for nonlinearillposed
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. 562580.

``Modified twopoint stepsize gradient methods for unconstrained optimization''
(with Y.H. Dai and J.Y. Yuan), Computational Optimization and Applications
22(2002) 103109.

``A note on the nonlinear conjugate gradient method'',(with Y.H. Dai),
Journal of Comp. Math. 20(2002) 575582.

``Linear systems associated with numerical methods for constrained optimization'',
Journal of Comp. Math. 21(2003) 7184.

``A Class of globally convergent conjugate gradient methods''(with Y.H. Dai),
Science in China 46(2003) 253261.

``Conic Trust region method for linearly constrained optimization'',
(with W.Y. Sun and J.Y. Yuan) J. Comp. Math. 21(2003) 295304.

``Alternate minimization gradient method'' (with Y.H. Dai), IMA J. Num. Anal. 23(2003) 377393.

``Some Problems in nonlinear programming'', in: Y.Yuan, ed.
Numerical Linear Algebra and Optimization (Science Press, Beijing/NewYork, 2003) pp. 98110.

``A trust region method for solving distributed parameter identification
problems''(with Y.F. Wang), Journal of Comp. Math. 21(2003) 759772.

``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. 265274.

"Convergence and regularity of trust region methods for
nonlinear illposed inverse problems" (with Y.F. Wang),
Inverse Problems 21(2005) 821838.

``On the quadratic convergence of the LevenbergMarquardt method
without nonsingularity assumption''(with J.Y. Fan), Computing 74(2005) 2339.

``Analysis of monotone gradient methods''(with Y.H. Dai),
J. Industrial and Management Optimization 1(2005) 181192.

``Computing a CelisDennisTapia step''(with G.D. Li),
J. Comput. Math. 23(2005) 463478.

``A new stepsize for the steepest descent method''
Journal of Computational Mathematics 24(2006) 149156.

``A new linearization method for quadratic assignment problems'', (with Y. Xia),
Optimization Methods and Software 21(2006) 805818.

``Stepsizes 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 785796.

``Disturbed sparse linear equations over 01 finite field''(with Z.Z.
Zheng), J. Comput. Math. 24(2006) 357364.

``A Subspace implementation of quasiNewton trust region methods for
unconstrained optimization''(with Z.H. Wang), Numerische Mathematik
104(2006) 241269.

``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. 206218.

``An interiorpoint trustregion
algorithm for general symmetric cone programming''(with Y. Lu),
SIAM J. Optim. 18(2007) 6586.

``An interiorpoint trustregion
polynomial algorithm for convex quadratic minimization subject to
convex constraints''(with Y. Lu),
Optimizaiton Methods and Software 23(2008) 251258.

``Rigid vesus unique determination of protein structures with geometric buildup'',
(with D. Wu and Z.J, Wu), Optimization Letters 2(2008) 319331.

Computational Methods for Nonlinear Optimization (in Chinese),
Science Press, Beijing, China, 2008.

``On the separable nonlinear least squares problems''
(with X. Liu), J. Comput. Math. 26(2008) 390403.

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

``Regularization active set method for nonnegatively constrained illposed multichannel image
restoration problem'' (with Y.F. Wang, J.J. Cao, C.C. Yang and N.H. Xiu),
Applied Optics 48(2009) 13891401.

``Subspace methods for large scale nonlinear equations and nonlinear least squares'',
Optimizaiton and Engineering 10(2009) 207218.

``A geometric buildup algorithm for the solution of
the distance geometry problem using leastsquares
approximation", (with A. Sit and Z.J. Wu)
Bulletin of Mathematical Biology, 71 (2009), 19141933.

``A new trus region algorithm for nonlinear constrained optimization'',
(with L.F. Niu) Journal of Computational Mathematics
28(2010) 7286.

``A short note on the Qlinear convergence of the steepest descent method'',
Mathematical Programming 123(2010) 339343.

``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) 89106.

A nullspace primaldual interiorpoint algorithm for nonlinear optimization with nice convergence properties,
(with X.W. Liu), Mathematical Programming
125 (2010) 163193.

``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. 141155.

``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.

``Componentwise error bounds for linear complementarity problems'',
(with Z.Y. Wang), IMA J. Numer. Anal.
31(2011), 348357.

``A trust region algorithm for Nash equilibrium problems'',
Pacific Journal of Optimization , 7:1(2011), 125138.

``Recent Advances in Numerical Methods for Nonlinear Equations and Nonlinear Least Sqaures'',
Numerical Algebra, Control and Optimization
1:1(2011) 1534.

``Uniform bounds on the 1norm of the inverse of lower triangular Toeplitz matrices'',
(with X. Liu, S. McKee and J.Y. Yuan), Linear Algebra and its Applications
435(2011) 11571170.

``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) 545571.

``A parallel decomposition algorithm for training multiclass kernelbased
vector machines'' (with L.F. Niu),
Optimization Methods and Software 26(2011) 431454.
C. Sun and {\bf Yaxiang Yuan}

``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. 33043307.

"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: 10.1186/168761802012137, Jul. 2012.)

``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) 871888.
DOI: 10.1080/10556788.2011.622378

"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) 3753.

"A counterexample to a conjecture of BenTal, Nemirovski and Roos" ,
J. the Operations Research Society of China, Vol. 1 (2013) 155157.

"Stability and allocation in a threeplayer game", (with L.Q. Wu, X. Chen and
Y. Lu) AsiaPacific Journal on Operational Research, Vol. 30:3 (2013)
( DOI: 10.1142/S0217595913400149 )

"Optimality conditions and smoothing trust region Newton method
for nonLipschitz optimization", (with X.J. Chen and L.F. Niu)
SIAM J. Optimization, Vol. 23:3 (2013) 15281552.

A subspace version of the PowellYuan trust region algorithm for
equality constrained optimization, (With G.Grapiglia and J.Y. Yuan)
Journal of the OR Society of China, 1:4(2013) 425451.

"Analysis on a superlinearly convergent augmented Lagrangian
method" ,
Acta Mathematics Sinica, English Series, 30:1(2014)
110.

"A regularized Newton method for
monotone nonlinear equations and its
application"£¬
(with J.Y. Fan)
Optimization Methods and Software, 29:1(2014),102119.

"On the convergence of
the selfconsistent eld iteration in KohnSham density functional theory",
(with X. Liu, X. Wang and Z.W. Wen), SIAM Journal on Matrix Analysis and Applications,
35(2014) 546558.

A review on subspace methods for nonlinear optimization,
Proceddings of International Congress of Mathematicians 2014
Soeul, Korea, pp. 807827.

"Recent advances in trust region algorithms",
Math. Program. Ser. B 151(2015) 249281.

"A derivativefree trustregion algorithm for composite nonsmooth optimization"
(with G. Grapiglia, J.Y. Yuan),
Comp. Appl. Math. .DOI 10.1007/s4031401402014