- Lijun Xu, Bo Yu and Yin Zhang.
An Alternating Direction and Projection Algorithm for Structure-enforced
Matrix Factorization.
*Computational Optimization and Applications*(2017). First Online: 24 April, 2017. doi:10.1007/s10589-017-9913-x. - Zaiwen Wen and Yin Zhang.
Accelerating Convergence by Augmented Rayleigh-Ritz Projections
For Large-Scale Eigenpair Computation.
*SIAM Journal on Matrix Analysis and Applications*. Vol. 38-2 (2017), pp. 273-296. - Junyu Zhang, Zaiwen Wen and Yin Zhang.
Subspace Methods With Local Refinements for Eigenvalue Computation
Using Low-Rank Tensor-Train Format.
*Journal of Scientific Computing*(First online 2016). doi:10.1007/s10915-016-0255-0. February 2017, Volume 70, Issue 2, pp. 478-499. - Zaiwen Wen, Chao Yang, Xin Liu and Yin Zhang.
Trace-Penalty Minimization for Large-scale Eigenspace Computation.
*Journal of Scientific Computing*. March 2016, Volume 66, Issue 3, pp. 1175-1203. - Xin Liu, Zaiwen Wen and Yin Zhang.
An Efficient Gauss-Newton Algorithm for Symmetric Low-Rank Product
Matrix Approximations.
*SIAM Journal on Optimization*. 25-3 (2015), pp. 1571-1608.`http://dx.doi.org/10.1137/140971464`. - Yuan Shen, Zaiwen Wen, and Yin Zhang.
Augmented Lagrangian Alternating Direction Method for
Matrix Separation Based on Low-Rank Factorization.
*Optimization Methods and Software*. Vol. 29 (2), pp. 239-263. 2014. - Chengbo Li, Wotao Yin, Hong Jiang, and Yin Zhang.
An efficient augmented Lagrangian method with applications
to total variation minimization.
*Computational Optimization and Applications.*Volume 56, Issue 3, pp. 507-530. 2013. - Xin Liu, Zaiwen Wen and Yin Zhang.
Limited Memory Block Krylov Subspace Optimization for Computing
Dominant Singular Value Decompositions.
*SIAM Journal on Scientific Computing*. 35-3 (2013), pp. A1641-A1668. - Yin Zhang.
Theory of Compressive Sensing via L1-Minimization: A Non-RIP
Analysis and Extensions.
*Journal of the Operations Research Society of China*. Vol. 1, Issue 1 (2013), pp. 79-105. - Chengbo Li, Hong Jiang, Paul Wilford, Yin Zhang and Mike Scheutzow.
A new compressive video sensing framework for mobile broadcast.
*IEEE Transactions on Broadcasting*. Vol. 59, No. 1, March 2013, pp. 197 - 205. - Wen Zaiwen, Yin Wotao, Liu Xin, Zhang Yin.
Introduction to compressive sensing and sparse optimization.
Operations Research Transactions (in Chinese).
Vol. 16, No. 3, pp. 65-80. 2012.
- Zaiwen Wen, Wotao Yin, and Yin Zhang.
Solving a Low-Rank Factorization Model for Matrix Completion by a
Nonlinear Successive Over Relaxation Algorithm.
*Mathematical Programming Computation*. Vol. 4, pp. 333-361. 2012. - Yangyang Xu, Wotao Yin, Zaiwen Wen, and Yin Zhang.
An Alternating Direction Algorithm for Matrix Completion with Nonnegative Factors.
*Frontiers of Mathematics in China*(Springer). 7(2): 365-384. 2012. - Chengbo Li, Ting Sun, Kevin Kelly and Yin Zhang.
A Compressive Sensing and Unmixing Scheme for Hyperspectral Data Processing.
*IEEE Transactions on Image Processing*. Vol. 21, No. 3, pp. 1200-1210. March 2012. - Hong Jiang, Chengbo Li, Raziel Haimi-Cohen, Paul Wilford and Yin Zhang.
Scalable video coding using compressive sensing.
*Bell Labs Technical Journal (BLTJ)*. Volume 16, Issue 4 pp. 149-169, March 2012. - J. Yang and Y. Zhang.
Alternating direction algorithms for L1-problems
in compressive sensing.
*SIAM Journal on Scientific Computing*, Vol. 33, No. 1, pp. 250-278, 2011. - Z. Wen, W. Yin, Donald Goldfarb and Yin Zhang.
A fast algorithm for sparse reconstruction based on shrinkage,
subspace optimization and continuation.
*SIAM Journal on Scientific Computing*, Volume 32, Issue 4, pp. 1832-1857, 2010. - Junfeng Yang, Y. Zhang and Wotao Yin.
A fast alternating direction method for TVL1-L2 signal
reconstruction from partial Fourier data.
*IEEE Journal of Selected Topics in Signal Processing*, vol. 4, issue 2, pp. 288-297, 2010. - Elaine T. Hale, Wotao Yin, and Yin Zhang.
Fixed-Point Continuation Applied to Compressed Sensing:
Implementation and Numerical Experiments.
*Journal of Computational Mathematics*. Vol.28, No.2, pp. 170-194. 2010. - Edward Castillo, Richard Castillo, Yin Zhang, Thomas Guerrero.
Compressible Image Registration for Thoracic Computed Tomography Images.
*Journal of Medical and Biological Engineering*, Vol. 29, No 5, 2009. - Junfeng Yang, Y. Zhang and Wotao Yin.
An Efficient TVL1 Algorithm for Deblurring Multichannel
Images Corrupted by Impulsive Noise.
*SIAM Journal on Scientific Computing*. Volume 31, Issue 4, pp. 2842-2865, 2009. - Junfeng Yang, Wotao Yin, Y. Zhang and Yilun Wang.
A Fast Algorithm for Edge-Preserving Variational
Multichannel Image Restoration.
*SIAM Journal on Imaging Science*. Vol. 2, Issue 2, pp. 569-592, 2009. - Elaine T. Hale, Wotao Yin, and Yin Zhang.
A Fixed-Point Continuation for -Minimization: Methodology and Convergence.
*SIAM Journal on Optimization*, Vol. 19, Issue 3, pp. 1107-1130, 2008. - Yilun Wang, Junfeng Yang, Wotao Yin, and Yin Zhang.
A New Alternating Minimization Algorithm for Total Variation Image
Reconstruction.
*SIAM Journal on Imaging Sciences*, Vol. 1, Issue 3, pp. 248-272, 2008. - Y. Zhang and M. Merritt.
Dose-volume-based IMRT fluence optimization:
A fast least-squares approach with differentiability.
*Linear Algebra and its Applications*, Vol. 426, pp. 1365-1387, 2008. - Zhijun Wu and Y. Zhang.
Solving Large Scale Double Digestion Problems for DNA Restriction
Mapping by Using Branch and Bound Integer Linear Programming.
*Lecture Notes on Operations Research 7*, pp. 267-279, Dingzhu Du and Xiangsun Zhang, eds., 2007. - Elaine T. Hale and Y. Zhang.
Case studies for a first-order robust nonlinear programming formulation.
*J. Optimization Theory and Applications*, Vol. 134, No. 1, pp. 27-45, 2007. - Y. Zhang.
A General Robust-Optimization Formulation for Nonlinear Programming.
*J. Optimization Theory and Applications*, Vol. 132, No. 1, pp. 111-124, 2007. - J. Deasy, E. Lee, T. Bortfeld, M. Langer, K. Zakarian, J. Alaly,
Y. Zhang, H. Liu, R. Mohan, R. Ahuja, A. Pollack, J. Purdy, R. Rardin.
A collaboratory for radiation therapy treatment planning optimization
research, Annals of Operations Research. Vol. 148, pp. 55-63(9), 2006.
- Thomas Guerrero, Kevin Sanders, Edward Castillo, Yin Zhang,
Luc Bidaut, Tinsu Pan and Ritsuko Komaki.
Dynamic Ventilation Imaging from Four-Dimensional
Computed Tomography.
*Physics in Medicine and Biology*, 51: 777-791, 2006. - Y. Zhang and M. Merritt. A Geometric Approach to Fluence Map
Optimization in IMRT Cancer Treatment Planning.
In
*Multi-scale Optimization and Applications*, Edited by W. Hager et al. Springer, 2005. - Thomas Guerrero, Kevin Sanders, Josue Noyola-Martinez,
Edward Castillo, Yin Zhang, Richard Tapia, Rudy Guerra,
Yerko Borghero, Ritsuko Komaki.
Quantification of Regional Ventilation from Treatment Planning CT.
*International Journal of Radiation Oncology, Biology, Physics*, 2005 Jul 1;62(3):630-4. - Diane Jamrog, George Phillips, Richard Tapia and Yin Zhang.
A Global Optimization Method for the Molecular
Replacement Problem in X-ray Crystallography.
*Mathematical Programming*, Series B, published online, May 3rd, 2005. - M. Merritt and Y. Zhang.
An Interior-Point Gradient Method for Large-Scale
Totally Nonnegative Least Squares Problems.
*J. Optimization Theory and Applications*, Vol. 126. No. 1, pp. 191-202, July, 2005. - Diane Jamrog, Yin Zhang and George Phillips. On the
Equivalence Between a Commonly Used Correlation Coefficient and a
Least Squares Function.
*ACTA Crystallographica*, A60: 214-219. 2004. - Cristina Villalobos, Richard Tapia and Yin Zhang. Sphere
of Convergence of Newton's Method on Two Equivalent Systems from
Nonlinear Programming.
*Journal of Optimization Theory and Applications*, Vol. 121, No.3, June, 2004. - Liliana Borcea, Genetha Gray, Yin Zhang.
Variationally Constrained Numerical Solution of Electrical
Impedance Tomography.
*Inverse Problems*, volume 19, issue 5, pages 1159 - 1184, 2003. - Diane Jamrog, Yin Zhang and George Phillips. SOMoRe: a
mutli-dimensional search and optimization approach to molecular
replacement.
*ACTA Crystallographica D*, 59:304-314, 2003. - Yin Zhang and Liyan Gao. On Numerical Solution of the
Maximum Volume Ellipsoid Problem.
*SIAM Journal on Optimization*, Vol.14, No.1, pp. 53-76, 2003. - Sam Burer, Renato Monteiro and Yin Zhang. A Computational
Study of a Gradient-Based Log-Barrier Algorithm for a Class of
Large-Scale SDPs.
*Mathematical Programming Series B*, 95:359-379, 2003. - Sam Burer, Renato Monteiro and Yin Zhang. Maximum Stable Set
Formulations and Heuristics Based on Continuous Optimization.
*Mathematical Programming Series A*, 94:137-166, 2002. - Zhijun Wu, George Phillips, Richard Tapia and Yin Zhang. A
Fast Newton's Method for Entropy Maximization in Phase
Determination.
*SIAM Review*, Vol. 43:623-642, 2002. - Sam Burer, Renato Monteiro and Yin Zhang. Rank-Two
Relaxation Heuristics for Max-Cut and Other Binary Quadratic
Programs.
*SIAM Journal on Optimization*, Vol. 12:503-521, 2002. - Diane Jamrog, Richard Tapia and Yin Zhang. Comparison of two
sets of first-order conditions as bases of interior-point Newton
methods for optimization with simple bounds.
*Journal of Optimization Theory and Applications*, Vol. 113:21-40, 2002. - Sam Burer, Renato Monteiro and Yin Zhang. Solving a class of
Semidefinite Programs via Nonlinear Programming.
*Mathematical Programming A*, Vol.93:97-122, 2002. - Cristina Villalobos, Richard Tapia and Yin Zhang. The Local
Behavior of Newton's Method on Two Equivalent Systems from Linear
Programming.
*Journal of Optimization Theory and Applications*, Vol. 112:239-263, 2002. - Sam Burer, Renato Monteiro and Yin Zhang. Interior-Point
Algorithms for Semidefinite Programming Based on a Nonlinear
Formulation.
*Computational Optimization and Applications*, Vol. 22:49-79, 2002. - L. Velazquez, G. Phillips, R. Tapia and Y. Zhang. Selective
Search for Global Optimization of Zero or Small Residual
Least-Squares Problems: A Numerical Study.
*Computational Optimization and Applications*, Vol. 20:299-315, 2001. - Zhijun Wu, George Phillips, Richard Tapia and Yin Zhang. A
Fast Newton's Method for Entropy Maximization in Statistical Phase
Estimation.
*ACTA Crystallographica A*. Vol. 57 (Part 6):681--685, 2001. - Y. Zhang, R. Tapia and L. Velazquez. On Convergence of
Minimization methods: Attraction, Repulsion and Selection.
*Journal of Optimization Theory and Applications*. Vol. 107:529-546, 2000. - Y. Zhang. User's Guide to LIPSOL - Linear-programming
Interior Point Solvers. Special Issue of
*Optimization Methods and Software*on Interior Point Methods (with software in compact disk), pp. 385-396, 1999. - V. Baryamureeba, T. Steihaug, and Y. Zhang. Application of a
Class of Preconditioners to Large Scale Linear Programming
Problems.
*Lecture Notes in Computer Science 1685*, pp.1044-1048. P. Amestoy, P. Berger, M. Dayde, I. Duff, V. Fraysse, L. Giraud, D. Ruiz (Eds.). Springer. 1999. - Y. Zhang. Solving large-scale linear programs by
interior-point methods under the MATLAB Environment.
*Optimization Methods and Software*, 10(1998): 1-31. - Renato Monteiro and Y. Zhang. A unified analysis for a class
of path-following primal-dual interior-point algorithms for
semidefinite programming.
*Mathematical Programming*81 (1998) 281-299. - Y. Zhang. On extending some primal-dual interior-point
algorithms from linear programming to semidefinite programming.
*SIAM Journal on Optimization*8:365-386, 1998. - A. El-Bakry, R. A. Tapia and Y. Zhang. On the convergence
rate of Newton interior-point methods in the absence of strict
complementarity.
*Computational Optimization and Applications*6:157-167, 1996. - A. El-Bakry, R. A. Tapia, T. Tsuchiya and Y. Zhang. On the
formulation of the primal-dual Newton interior-point method for
nonlinear programming
*J. Optimization Theory and Applications*Vol.89:507-541, 1996. - Stephen Wright and Y. Zhang. A superquadratic
infeasible-interior-point method for linear complementarity
problems.
*Mathematical Programming*73:269-289, 1996. - D. Zhang and Y. Zhang. A Mehrotra-type predictor-corrector
algorithm with polynomiality and Q-subquadratic convergence.
*Annals of Operations Research*(special issue on Interior-Point Methods), vol.62:131-150, 1996. - R. Tapia, Y. Zhang, M. Saltzman and A. Weiser. The Mehrotra
predictor-corrector interior point method as a composite Newton
method.
*SIAM Journal on Optimization*Vol.6, No. 1, 47-56, 1996. - Y. Zhang and D. Zhang. On polynomiality of the Mehrotra-type
predictor-corrector interior-point algorithms.
*Mathematical Programming*, Vol.68:303-318, 1995. - R. Tapia, Y. Zhang and Y. Ye. On the convergence of the
iteration sequence in primal-dual interior-point methods.
*Mathematical Programming*, Vol.68:141-154, 1995. - Y. Zhang and A. El-Bakry. Modified predictor-corrector
algorithm for locating weighted centers in linear programming.
*J. Optimization Theory and Applications*, Vol.80, No.2, 319-331, Feb. 1994. - Y. Zhang and D. Zhang. Superlinear convergence of infeasible
interior-point methods for linear programming.
*Mathematical Programming*, Vol.66:361-377, 1994. - Y. Zhang. On the convergence of a class of infeasible
interior-point methods for the horizontal linear complementarity
problem.
*SIAM Journal on Optimization*, Vol.4, No.1, 208-227, 1994. - A. Elbakry and R. Tapia and Y. Zhang. A study on the use of
indicators in identifying zero variables for interior point
methods.
*SIAM Review*, Vol. 36, No.1, 45-72, 1994. - Y. Ye, O. Güler and R. Tapia and Y. Zhang. A
quadratically convergent -iteration algorithm for
linear programming.
*Mathematical Programming*Vol.59:151-162, 1993. - Y. Zhang. A primal-dual interior point approach for
computing the and solutions of
overdetermined linear systems.
*J. Optimization Theory and Applications*, Vol.77, No.2, 323-341, 1993. - Y. Zhang and R. Tapia. A superlinearly convergent polynomial
primal-dual interior-point algorithm for linear programming.
*SIAM J. Optimization*3:118-133, 1993. - Y. Zhang, R. Tapia and F. Potra. On the superlinear
convergence of interior point algorithms for a general class of
problems.
*SIAM Journal on Optimization*, 3:413-422, 1993. - Y. Zhang and R. Tapia. Superlinear and quadratic convergence
of primal-dual interior point algorithms for linear programming
revisited.
*J. Optimization Theory and Applications*, Vol.73, No.2, 229-242, 1992. - Y. Zhang, R. Tapia and J. E. Dennis. On the superlinear and
quadratic convergence of primal-dual interior point linear
programming algorithms.
*SIAM Journal on Optimization*, 2:304-324, 1992. - R. Byrd and R. Tapia and Y. Zhang. An SQP structured
augmented Lagrangian BFGS secant algorithm for constrained
optimization.
*SIAM J. on Optimization*, 2:210-242, 1992. - Y. Zhang. Computing a Celis-Dennis-Tapia trust region step
for equality constrained optimization.
*Mathematical Programming*, 55:109-124, 1992. - R. Tapia and Y. Zhang. An optimal-basis identification
technique for interior-point linear programming algorithms.
*Linear Algebra and its Applications*, 152:343-363, 1991. - R. Tapia and Y. Zhang. Cubically convergent method for
locating a nearby vertex in linear programming.
*J. Optimization Theory and Applications*, vol. 67, No. 2, 217-225, 1990. - J. L. Stephenson, Y. Zhang and R. Tewarson. Electrolyte,
urea, and water transport in a 2-nephron central core model of the
renal medulla.
*American Journal OF Physiology*, 257 (3): F399-F413, Part 2, Sep 1989. - Y. Zhang and R. P. Tewarson. Quasi-Newton algorithms with
updates from the pre-convex part of Broyden's family,
*IMA J. Numerical Analysis*,**8**, 487-509, 1988. - Y. Zhang and R. P. Tewarson. A new quasi-Newton algorithm.
*Applied Mathematics Letters*, Vol.0, No. 1, 5-8, 1987. - J. L. Stephenson, Y. Zhang, A. Eftekhari and R. Tewarson.
Electrolyte transport in a central core model of the renal
medulla.
*Am. J. Physiol. 253*, (Renal Fluid Electrolyte Physiol. 22), F982-F997, 1987. - Y. Zhang and R. P. Tewarson. Least change updates to
Cholesky factors subject to the nonlinear quasi-Newton condition,
*IMA J. Numerical Analysis*,**7**, 509-521, 1987. - R. P. Tewarson and Y. Zhang. Sparse quasi-Newton LDU
updates.
*Int. J. Num. Meth. Eng.*, Vol. 24, 1093-1110, 1987. - Z. H. Cao and Y. Zhang. The contraction number of a
multigrid method with mesh ratio two for solving model problem.
*Linear Algebra and its Applications*,**79**:23-32, 1986. - R. P. Tewarson and Y. Zhang. Solution of two-point boundary
value problems using splines.
*Int. J. Numer. Meth. Eng.*,**23**:707-710, 1986. - R. P. Tewarson, J. L. Stephenson, M. Garcia and Y. Zhang. On
the solution of equations for renal counterflow models.
*Comput. Biol. Med.,***15**:287-295, 1985.