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A NEW ADAPTIVE SUBSPACE MINIMIZATION THREE-TERM CONJUGATE GRADIENT ALGORITHM FOR UNCONSTRAINED OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 卷号: 39, 期号: 2, 页码: 159-177
Authors:  Zhang, Keke;  Liu, Hongwei;  Liu, Zexian
Favorite  |  View/Download:5/0  |  Submit date:2021/01/14
Conjugate gradient method  Nonmonotone line search  Subspace minimization  Sufficient descent condition  Global convergence  
New subspace minimization conjugate gradient methods based on regularization model for unconstrained optimization 期刊论文
NUMERICAL ALGORITHMS, 2020, 页码: 34
Authors:  Zhao, Ting;  Liu, Hongwei;  Liu, Zexian
Favorite  |  View/Download:5/0  |  Submit date:2021/01/14
Conjugate gradient method  p-regularization model  Subspace technique  Nonmonotone line search  Unconstrained optimization  
An Efficient Orthonormalization-Free Approach for Sparse Dictionary Learning and Dual Principal Component Pursuit 期刊论文
SENSORS, 2020, 卷号: 20, 期号: 11, 页码: 25
Authors:  Hu, Xiaoyin;  Liu, Xin
Favorite  |  View/Download:16/0  |  Submit date:2020/09/23
dual principal component pursuit  orthogonality constraint  sparse dictionary learning  stiefel manifold  
On the existence of affine invariant descent directions 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 17
Authors:  Dai, Yu-Hong;  Jarre, Florian;  Lieder, Felix
Favorite  |  View/Download:13/0  |  Submit date:2020/05/24
Affine invariance  descent direction  Newton direction  
A Brief Introduction to Manifold Optimization 期刊论文
Journal of the Operations Research Society of China, 2020, 卷号: 8, 期号: 2, 页码: 199-248
Authors:  Hu Jiang;  Liu Xin;  Wen Zaiwen;  Yuan Yaxiang
Favorite  |  View/Download:4/0  |  Submit date:2021/01/14
Convergence  First-order-type algorithms  Manifold optimization  Retraction  Second-order-type algorithms  
UNIT TRIANGULAR FACTORIZATION OF THE MATRIX SYMPLECTIC GROUP 期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2020, 卷号: 41, 期号: 4, 页码: 1630-1650
Authors:  Jin, Pengzhan;  Tang, Yifa;  Zhu, Aiqing
Favorite  |  View/Download:3/0  |  Submit date:2021/04/26
symplectic  symplectic matrix  triangular factorization  positive definite  singular symplectic matrix  generators  parameterization  unconstrained parametrization  
An improved Dai-Kou conjugate gradient algorithm for unconstrained optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 页码: 23
Authors:  Liu, Zexian;  Liu, Hongwei;  Dai, Yu-Hong
Favorite  |  View/Download:14/0  |  Submit date:2020/05/24
Conjugate gradient algorithm  Limited memory  Quasi-Newton method  Preconditioned conjugate gradient algorithm  Global convergence  
A family of spectral gradient methods for optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2019, 卷号: 74, 期号: 1, 页码: 43-65
Authors:  Dai, Yu-Hong;  Huang, Yakui;  Liu, Xin-Wei
Favorite  |  View/Download:23/0  |  Submit date:2020/01/10
Unconstrained optimization  Steepest descent method  Spectral gradient method  R-linear convergence  R-superlinear convergence  
Some algorithms for classes of split feasibility problems involving paramonotone equilibria and convex optimization 期刊论文
Journal of Inequalities and Applications, 2019, 卷号: 2019, 期号: 1
Authors:  Dong,Q. L.;  Li,X. H.;  Kitkuan,D.;  Cho,Y. J.;  Kumam,P.
Favorite  |  View/Download:27/0  |  Submit date:2019/04/02
Split feasibility problem  Equilibria  Constrained convex optimization  Practical model  47H05  47H07  47H10  54H25  
CONVERGENCE RATE OF GRADIENT DESCENT METHOD FOR MULTI-OBJECTIVE OPTIMIZATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 5, 页码: 689-703
Authors:  Zeng, Liaoyuan;  Dai, Yuhong;  Huang, Yakui
Favorite  |  View/Download:14/0  |  Submit date:2020/05/24
Multi-objective optimization  Gradient descent  Convergence rate