- An Adaptive Two-point Stepsize Gradient Algorithm.
(joint work with Y. H. Dai)
Numerical Algorithms (2001), pp. 377-385
- A trust region-CG algorithm for deblurring problem in atmospheric image reconstruction.
(joint work with Y. F. Wang and Y. Yuan)
Science in China, 45(2002), pp. 731-740.
- A nonmonotone trust region algorithm for nonlinear optimization subject to general constrains.
Journal of Computational Mathematics, No 2, 21(2003), pp. 237-246.
- A Nonmonotone Line Search Technique and its Application to Unconstrained Optimization.
(Joint work with W. W. Hager)
SIAM Journal on Optimization, 14 (2004), pp. 1043-1056.
- A New Conjugate Gradient Method with Guaranteed Descent And An Efficient Line Search.
(Joint work with W. W. Hager)
SIAM Journal on Optimization, 16 (2005), pp. 170-192.
Test problem data for SIOPT paper.
- Algorithm 851: CG\_DESCENT, A Conjugate Gradient Method with Guaranteed Descent.
(Joint work with W. W. Hager)
ACM Transactions on Mathematical Software, 32 (2006), pp. 113-137.
Test problem data for ACM TOMS paper.
- The Cyclic Barzilai-Borwein Stepsize Method for Unconstrained Optimization.
(Joint work with Y. H. Dai, W. W. Hager, K. Schittkowski)
IMA Journal of Numerical Analysis, 26 (2006), pp.604-627.
- PCBB: A projected cyclic Barzilai-Borwein algorithm for box constrained optimization.
(Joint work with W. W. Hager)
Multiscale Optimization Methods and Applications, William W. Hager, P .M. Pardalos, etc. ed., 2005, pp. 215-220.
- Self-adaptive inexact proximal point methods.
(Joint work with W. W. Hager)
Accepted June 22, 2006; To appear on Computational Optimization and Applications.
- A survey of the nonlinear conjugate gradient methods.
(Joint work with W. W. Hager)
Pacific Journal of Optimization, 2 (2006), pp. 35-58 (invited)
- A new active set algorithm for large-scale bound constrained optimization.
(Joint work with W. W. Hager)
Siam Journal on Optimization, 17 (2006), pp. 526-557.
Test problem data for active set paper.
- Recent advances in bound constrained optimization.
(Joint work with W. W. Hager)
System Modeling and Optimization, F. Ceragioli, A. Dontchev, H. Furuta, K. Marti, and L. Pandolfi, eds., Springer, 2006, pp. 67-82.
- Asymptotic convergence analysis of a new class of proximal point methods.
Accepted May 9, 2007; To appear on Siam Journal on Control and Optimization
(Joint work with W. W. Hager)
- An affine-scaling interior-point CBB methods for box constrained optimization.
Accepted October 15 , 2007, To appear on Mathematical Programming.
(Joint work with W. W. Hager)
Positron Emission Tomography (PET) test problem which includes:
1. Fortran code to evaluate cost function and gradient
2. A file containing the data for a PET scan of a thorax
3. A file containing the matrix which describes the PET scanner
4. The reconstructed image achieved using .0001 error tolerance
Randomly generated test problems
- A derivative-free algorithm for the least-square minimization
March, 2009, Submitted.
(Joint work with A. R. Conn and K. Scheinberg)
The codes DFBOLS: a Derivative-Free algorithm for Box constrained Least-Squares minimization is available
by Email: request from hozhang@math.lsu.edu
- An Affine-scaling Interior-point Method for Continuous Knapsack Constraints
August, 2009, Submitted
(Joint work with Maria D. Gonzalez-Lima, W. W. Hager)
Source code for ASL Version 1.1 July 25, 2009 (affine scaling method, linear constraint, bound constraints)
- Reconstruction of Apparent Diffusion Coefficient and Characterization of Anisotropy in Diffusion Weighted MRI.
Submitted to IEEE Transactions on Medical Imaging.
- Estimation, Smoothing, and Characterization of Apparent Diffusion Coefficient Profiles from High Angular Resolution DWI.
(Joint work with Y. Chen, W. Guo, F. Huang, Y. Liu and B. C. Vemuri)
Proceeding of IEEE computer society conference on Computer Vision and Pattern Recognition, CVPR'04, pp. 588-593.
- Quadratic programming techniques for graph partitioning.
October 16, 2006, Submitted to Siam Journal on Scientific Computing.
(Joint work with S. Park, W. W. Hager and A. Davis)
Test problem data
- Box Constrained Optimization for Detection of 16-QAM Signaling in MIMO Channels.
May 12, 2007, Submitted to IEEE journal on Transaction of Signal Processing.
(Joint work with S. Park, W. W. Hager and D. S. Han)
- Rock physics and depositional history from seismic matching: A model study.
April, 2007, EAGA London, England.
(Joint work with S. A. Levin, U. T. Mello, V. Lopez, L. Xu, A. R. Conn and K. Scheinberg)
- Assisted seismic matching: joint inversion of seismic, rock physics and basin modeling .
Sep, 2007, SEG San Antonio, U.S.A.
(Joint work with S. A. Levin, U. T. Mello, V. Lopez, A. R. Conn, K. Scheinberg, M. Henderson and L. Xu)
- Application of an affine-scaling interior-point CBB methods for maximum-likelihood reconstruction in PET imaging.
July, 2007, preprint.
(Joint work with W. W. Hager and B. Mair)
Optimization Softwares
- CG_DESCENT, A nonlinear conjugate gradient method with guaranteed descent for large-scale unconstrained optimization. (Joint work with W. W. Hager)
Source code for CG_DESCENT Version 3.0, May 18, 2008 (unconstrained optimization)
The Conjugate Gradient Archive
- ASA_CG, An active set method for large-scale box constrained optimization. (Joint work with W. W. Hager)
Source code for ASA_CG Version 1.2, June 29, 2008 (bound constrained optimization)
- ASL, An Affine-scaling Interior-point Method for Continuous Knapsack Constraints. (Joint work with W. W. Hager)
Source code for ASL Version 1.1, July 25, 2009 (single linear and bound constrained optimization)
- CGCBB Version 1.1, March 31, 2005, The CGCBB software with incomplete cholesky factorization as preconditioner for large-scale bound constrained optimization with sparse hessian.
- ASCBB Version 1.0, March , June 30, 2006, An affine-scaling interior-point cyclic Barzilai-Borwein method
for box constrained optimization. (Joint work with W. W. Hager)
- QPSLCBB Version 1.0, November 1st, 2006, An cyclic Barzilai-Borwein code for solving optimization problems with box and one linear constraint.