Dr Yunbin Zhao PhD

Dr Yunbin Zhao

School of Mathematics
Senior Lecturer in Mathematical Optimization

Contact details

+44 (0) 121 414 7092
+44 (0) 121 414 3389
School of Mathematics
University of Birmingham
B15 2TT

Yunbin is a lecturer of theoretical and computational optimization. His main research interests include operations research, computational optimization, and numerical analysis. He has published over 42 research papers in scientific journals.

School web page: web.mat.bham.ac.uk/Y.Zhao


  • PhD in Operations Research and Optimization, 1998
  • MSc in Applied Mathematics, 1992
  • BSc in Applied Mathematics, 1989


Yunbin Zhao qualified with BSc in applied mathematics from the Northwestern Polytechnical University in 1989, and MSc in applied mathematics from the Chongqing University in 1992. He went to study PhD in operations research and optimization from Chinese Academy of Sciences in 1995. Before joining to the University of Birmingham in 2007, he worked at Chinese Academy of Sciences, and the University of Toronto.


  • Single Honours Mathematics (G100, G103, G141)
  • Mathematics Majors: Mathematics with Business Management (G1N2); Mathematics with Engineering (J920); Mathematics with Philosphy (G1V5)
  • Joint Honours Mathematics: Mathematics & Computer Science (GG14); Pure Mathematics & Computer Science (GGC4)
  • MSc in Mathematical Finance

Postgraduate supervision

Yunbin is interested in supervising MSc and PhD research students in the following areas:

  • Operations Research
  • Computational Optimization
  • Numerical Analysis and Mathematical Finance

If you are interested in studying any of these subject areas please contact Yunbin on the contact details above.



Optimization theory, algorithms and applications to science and engineering.


Selected publications

Y.B. Zhao (2014), Equivalence and strong equivalence between the sparsest and least l1-norm nonnegative solutions of linear systems and their applications, J. Oper. Res. Soc. China, 2, pp. 171–193.

Y.B. Zhao (2013), RSP-Based analysis for sparest and least l1-norm solutions to underdetermined linear systems, IEEE Transactions on Signal Processing, 61, pp. 5777-5788.

Y.B. Zhao (2014), Equivalence and strong equivalence between the sparsest and least  l1-norm nonnegative solutions of linear systems and their applications,   J. Oper. Res. Soc. China, 2, pp. 171–193.

Y.B. Zhao (2013), RSP-Based analysis for sparest and least l1-norm solutions to underdetermined linear systems,   IEEE Transactions on Signal Processing,  61,  pp. 5777-5788.

 Y.B. Zhao (2013), New and improved conditions for uniqueness of sparsest solutions of underdetermined linear systems,  Applied Mathematics and Computation, 224, pp. 58-73.

Y.B. Zhao and D. Li (2012),  Reweighted l1-minimization for sparse solutions to underdetermined linear systems, SIAM Journal on Optimization, 22,   pp. 1065-1088.

 Y.B. Zhao (2012),  An approximation theory of matrix rank minimization and its application to quadratic equations,    Linear Algebra and its Applications, 437,  pp.77-93.

Y.B. Zhao (2011),  Convexity conditions of Kantorovich function and related semi-infinite linear matrix inequalities, Journal of Computational and Applied Mathematics, 235, pp. 4389–4403.

Y.B. Zhao (2010),  The convexity condition and Legendre-Fenchel transform of the product of finitely many quadratic forms, Applied Mathematics and Optimization, 62,  pp. 411-434.

Y.B. Zhao (2010),  The Legendre-Fenchel conjugate of the product of two positive-definite quadratic forms, SIAM Journal on Matrix Analysis & Applications, 31, pp.1792-1811.

 Y.B. Zhao, S.C. Fang and J.E. Lavery (2008),  Geometric dual formulation of the first derivative based C1-smooth univariate cubic L1 spline functions,   Journal of Global Optimization,  40, pp. 589-621. 

 I. Averbakh and Y.B. Zhao (2008),  Explicit reformulations for robust optimization problems with general uncertainty sets,  SIAM Journal on Optimization, 18, pp. 1436-1466

Y.B. Zhao (2007),  Enlarging neighborhood of interior-point algorithms for linear programming via the least value of proximity functions, Applied  Numerical  Mathematics, 57,  pp.1033-1049.

 Y.B. Zhao and J.Hu (2007),  Global bounds for the distance to solutions of co-coercive variational inequalities,  Operations Research Letters,   35,  pp. 409-415.

Y.B. Zhao,  S.C. Fang and  D. Li (2006), Constructing generalized mean functions via convex functions with   regularity  conditions,  SIAM Journal on Optimization , 17,  pp. 37-51. 

 J. Peng,  T. Terlaky and Y.B. Zhao (2005), An interior point algorithm for linear optimization based on a  proximity  function,  SIAM Journal on Optimization,   15,    pp. 1105-1127.

Y.B. Zhao and  D. Li (2003),   A  globally  and  locally  convergent  non- interior- point algorithm for   P_0 LCPs,    SIAM Journal on Optimization,   13 (2003), no.4, 1195--1221 

Y.B. Zhao and  D. Li (2002),   Locating the least 2-norm solution of linear programming  via the  path- following methods,  SIAM Journal on Optimization.  12, pp. 893--912. 

Y.B. Zhao and D. Li (2001),   Exitstence and limiting behavior of a non-interior-point trajectory for CPs without strict feasibility condition, SIAM Journal on Control and Optimization. 40, pp. 898-924.  

Y.B. Zhao and D. Li (2001),   Monotonicity of fixed point and normal mappings associated with variational inequality and its application.  SIAM Journal on Optimization,   11,  pp. 962-973.

Y.B. Zhao and D. Li (2001),  On a new  homotopy  continuation  trajectory  for  nonlinear  complementarity  problems,   Mathematics of Operations Research,  26,  pp. 119-146.

Y.B. Zhao and  G. Isac (2000),  Properties of a multi-valued mapping associated with some non-monotone complementarity problems,   SIAM Journal on Control and Optimization. 39, pp. 571-593.