贾志刚｜信阳师范大学｜学者主页

2026

Interpretable feature modeling for robust color watermarking in the quaternion framework

Yong Chen, Zhigang Jia, Hao Peng, Yaxin Peng, Yan Peng

Expert Systems With Applications，Vol. 295

DOI

2026

梅勿庵开方算法和收敛性的现代数学阐释

贾志刚，张锦书，王卿文

《高等数学研究》

2026

Randomized Quaternion Generalized Singular Value Decomposition Algorithms With Error Analysis

Sitao Ling, Yi-Ding Li, Qiao-Hua Liu, Zhigang Jia

Numerical Linear Algebra with Applications

DOI

2026

A novel quaternion generative model using SVTV regularization for color image inpainting

Zhigang Jia, Duan Wang, Ya-Jun Xie, Mei-Xiang Zhao, Xiao-Yu Zhao

Journal of Computational and Applied Mathematics

DOI

2025

A Novel Wasserstein Quaternion Generative Adversarial Network for Color Image Generation

Zhigang Jia, Duan Wang, He Wang, Ya-Jun Xie, Mei-Xiang Zhao, Xiao-Yu Zhao

Inverse Problems and Imaging

DOI

2024

Quaternion Generative Adversarial Neural Networks and Applications to Color Image Inpainting

Duan Wang, Dan-Dan Zhu, Mei-Xiang Zhao, Zhigang Jia

arXiv.org

DOI

2024

A New Cross-Space Total Variation Regularization Model for Color Image Restoration With Quaternion Blur Operator

Zhigang Jia, Yue-Lian Xiang, Mei-Xiang Zhao, Tingting Wu, Michael K. Ng

IEEE Transactions on Image Processing

DOI

2023

A New Low-Rank Learning Robust Quaternion Tensor Completion Method for Color Video Inpainting Problem and Fast Algorithms

Zhigang Jia, Jingfei Zhu

arXiv.org

DOI

2023

Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets

Zhigang Jia, Xuan Liu, Jingfei Zhu, Mei-Xiang Zhao

Numerical Algorithms

DOI

2023

Computing Partial Quaternion Eigenpairs with Quaternion Shift

Zhigang Jia, Qian-Yu Wang, Hong-kui Pang, Mei-Xiang Zhao

Journal of Scientific Computing

DOI

2022

Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation

Qiao-Hua Liu, Sitao Ling, Zhigang Jia

SIAM Journal on Scientific Computing

DOI

2022

Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition

Yi-Fen Ke, Chang-Feng Ma, Zhigang Jia, Ya-Jun Xie, Riwei Liao

Journal of Scientific Computing

DOI

2022

Non-Local Robust Quaternion Matrix Completion for Large-Scale Color Image and Video Inpainting

Zhigang Jia, Qiyu Jin, M. Ng, Xi-Le Zhao

IEEE Transactions on Image Processing

DOI

2022

On condition numbers of the total least squares problem with linear equality constraint

Qiao-Hua Liu, Zhigang Jia

Numerical Algorithms

DOI

2022

The implicitly restarted multi-symplectic block-Lanczos method for large-scale Hermitian quaternion matrix eigenvalue problem and applications

Zhigang Jia, Xuan Liu, Mei-Xiang Zhao

Journal of Computational and Applied Mathematics

DOI

2022

Multidimensional Total Least Squares Problem with Linear Equality Constraints

Qiao-Hua Liu, Zhigang Jia, Yi-Min Wei

SIAM Journal on Matrix Analysis and Applications

DOI

2021

Structure Preserving Quaternion Generalized Minimal Residual Method

Zhigang Jia, M. Ng

SIAM Journal on Matrix Analysis and Applications

DOI

2021

Computing top eigenpairs of Hermitizable matrix

Mu-Fa chen, Zhigang Jia, Hong-Kui Pang

Frontiers of Mathematics in China

DOI

2020

The Multi-Symplectic Lanczos Algorithm and Its Applications to Color Image Processing

Zhigang Jia, Xuan Liu, Mei-Xiang Zhao

arXiv.org

2020

Generalized Two-Dimensional Quaternion Principal Component Analysis with Weighting for Color Image Recognition

Zhigang Jia, Zi-Jin Qiu, Qian-Yu Wang, Mei-Xiang Zhao, Dan-Dan Zhu

arXiv.org

2020

F-2D-QPCA: A Quaternion Principal Component Analysis Method for Color Face Recognition

Ming-hui Wang, Lili Song, Kaisong Sun, Zhigang Jia

IEEE Access

DOI

2020

Robust Dual-Color Watermarking Based on Quaternion Singular Value Decomposition

Yong Chen, Zhigang Jia, Yan Peng, Ya-Xin Peng

IEEE Access

DOI

2019

Advanced Variations of Two-Dimensional Principal Component Analysis for Face Recognition

Mei-Xiang Zhao, Zhigang Jia, Yunfeng Cai, Xiao Chen, Dunwei Gong

Neurocomputing

DOI

2019

Matrix LSQR algorithm for structured solutions to quaternionic least squares problem

Sitao Ling, Zhigang Jia, Xin Lu, Bing-Da Yang

Computers and Mathematics with Applications

DOI

2019

Color Image Restoration by Saturation-Value Total Variation

Zhigang Jia, M. Ng, Wei Wang

SIAM Journal of Imaging Sciences

DOI

2019

Robust quaternion matrix completion with applications to image inpainting

Zhigang Jia, M. Ng, Guang-Jing Song

Numerical Linear Algebra with Applications

DOI

2019

Improved Two-Dimensional Quaternion Principal Component Analysis

Mei-Xiang Zhao, Zhigang Jia, Dunwei Gong

IEEE Access

DOI

2018

Sample-Relaxed Two-Dimensional Color Principal Component Analysis for Face Recognition and Image Reconstruction

Mei-Xiang Zhao, Zhigang Jia, Dunwei Gong

arXiv.org

2018

Perturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applications

Yunfeng Cai, Zhigang Jia, Zheng-Jian Bai

BIT Numerical Mathematics

DOI

2018

On commuting solutions of the Yang–Baxter-like matrix equation

Dong-Mei Shen, M. Wei, Zhigang Jia

Journal of Mathematical Analysis and Applications

DOI

2018

A structured condition number for self-adjoint polynomial matrix equations with applications in linear control

Zhigang Jia, Mei-Xiang Zhao

Journal of Computational and Applied Mathematics

DOI

2018

Lanczos method for large-scale quaternion singular value decomposition

Zhigang Jia, M. Ng, Guang-Jing Song

Numerical Algorithms

DOI

2018

A Quaternion Framework for Robust Color Images Completion

Zhigang Jia, M. Ng, Guang-Jing Song

2017

A New Structure-Preserving Method for Recognition of Color Face Images

Zhigang Jia, Ru-Ru Ma, Mei Zhao

DOI

2017

LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory

Sitao Ling, Zhigang Jia, Tong Jiang

Computers and Mathematics with Applications

DOI

2017

A New TV-Stokes Model for Image Deblurring and Denoising with Fast Algorithms

Zhigang Jia, M. Wei

Journal of Scientific Computing

DOI

2017

A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems

Ru-Ru Ma, Zhigang Jia, Zheng-Jian Bai

Computers and Mathematics with Applications

DOI

2017

Color Two-Dimensional Principal Component Analysis for Face Recognition Based on Quaternion Model

Zhigang Jia, Sitao Ling, Mei-Xiang Zhao

International Conference on Intelligent Computing

DOI

2015

梁的广义特征值反问题及离散模型修正 Generalized Inverse Eigenvalue Problem and Model Updating for Discrete Beam

Zhen-wei Sun, Ru-Ru Ma, Zhigang Jia

DOI

2015

Perturbation analysis for the matrix least squares problem AXB=C

Sitao Ling, M. Wei, Zhigang Jia

Journal of Computational and Applied Mathematics

DOI

2014

修正的TV-Stokes模型的新快速算法

常谦顺，贾志刚

《中国科学:数学》

2014

Structured least-squares problems and inverse eigenvalue problems for (P, Q)-reflexive matrices

Mei-Xiang Zhao, Zhigang Jia

Applied Mathematics and Computation

DOI

2014

New fast algorithms for a modified TV-Stokes model

Q. Chang, Zhigang Jia

DOI

2014

Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

Zhigang Jia, Mei-Xiang Zhao, Ming-Hui Wang, Sitao Ling

Journal of Applied Mathematics

DOI

2013

结构动力模型更新中带有子矩阵约束的逆特征值问题

赵琳琳，贾志刚

《工程数学学报》

2013

A new structure-preserving method for quaternion Hermitian eigenvalue problems

Zhigang Jia, M. Wei, Sitao Ling

Journal of Computational and Applied Mathematics

DOI

2013

Matrix iterative algorithms for least-squares problem in quaternionic quantum theory

Sitao Ling, Zhigang Jia

International Journal of Computational Mathematics

DOI

2013

Towards backward perturbation bounds for approximate dual Krylov subspaces

Gang Wu, Yi-Min Wei, Zhigang Jia, Sitao Ling, Lu Zhang

DOI

2011

k次R-对称矩阵的Procrustes问题及最佳逼近问题

贾志刚，魏木生，赵美香

《数学物理学报》

2011

SYMMETRIC INVERSE GENERALIZED EIGENVALUE PROBLEM WITH SUBMATRIX CONSTRAINTS IN STRUCTURAL DYNAMIC MODEL UPDATING

Mei-Xiang Zhao, Zhigang Jia, M. Wei

DOI

2011

A Real-Valued Spectral Decomposition of the Undamped Gyroscopic System with Applications

Zhigang Jia, M. Wei

SIAM Journal on Matrix Analysis and Applications

DOI

2011

Procrustes Problem of Hermitian Degree k R-symmetric Matrix and Its Approximation Problem

Zhigang Jia, M. Wei, Mei-Xiang Zhao

2010

k次R-对称矩阵的特征值反问题及最佳逼近问题

贾志刚，魏木生

《高等学校计算数学学报》

2010

Procrustes problems for (P, Q, η)-reflexive matrices

Zhigang Jia, Qian Wang, M. Wei

Journal of Computational and Applied Mathematics

DOI

2009

A new method for roots of monic quaternionic quadratic polynomial

Zhigang Jia, Xue-Han Cheng, Mei-Xiang Zhao

Computers and Mathematics with Applications

DOI

2009

Solvability and sensitivity analysis of polynomial matrix equation Xs + ATXtA = Q

Zhigang Jia, M. Wei

Applied Mathematics and Computation

DOI

2009

Mixed-type reverse order law of (AB)(13)☆

Ming-Hui Wang, M. Wei, Zhigang Jia

DOI

2007

基于四维表示的模糊数赋权排序及简便加减运算

赵建立，贾志刚，李莹

《模糊系统与数学》

2007

四元数量子力学中一类特征值反问题及其应用(英文)

贾志刚，赵建立，李莹，姜同松

《工程数学学报》

2007

四元数正则矩阵束广义特征值反问题

李莹，赵建立，贾志刚

《数学的实践与认识》

2006

LF内部空间的仿紧性

赵美香，孟广武，贾志刚

《模糊系统与数学》

2005

L-smooth拓扑空间新的分离性

贾志刚，赵美香，胡凯

《聊城大学学报(自然科学版)》

精选作品

期刊论文

Interpretable feature modeling for robust color watermarking in the quaternion framework

梅勿庵开方算法和收敛性的现代数学阐释

Randomized Quaternion Generalized Singular Value Decomposition Algorithms With Error Analysis

A novel quaternion generative model using SVTV regularization for color image inpainting

A Novel Wasserstein Quaternion Generative Adversarial Network for Color Image Generation

Quaternion Generative Adversarial Neural Networks and Applications to Color Image Inpainting

A New Cross-Space Total Variation Regularization Model for Color Image Restoration With Quaternion Blur Operator

A New Low-Rank Learning Robust Quaternion Tensor Completion Method for Color Video Inpainting Problem and Fast Algorithms

Harmonic multi-symplectic Lanczos algorithm for quaternion singular triplets

Computing Partial Quaternion Eigenpairs with Quaternion Shift

Randomized Quaternion Singular Value Decomposition for Low-Rank Matrix Approximation

Quasi Non-Negative Quaternion Matrix Factorization with Application to Color Face Recognition

Non-Local Robust Quaternion Matrix Completion for Large-Scale Color Image and Video Inpainting

On condition numbers of the total least squares problem with linear equality constraint

The implicitly restarted multi-symplectic block-Lanczos method for large-scale Hermitian quaternion matrix eigenvalue problem and applications

Multidimensional Total Least Squares Problem with Linear Equality Constraints

Structure Preserving Quaternion Generalized Minimal Residual Method

Computing top eigenpairs of Hermitizable matrix

The Multi-Symplectic Lanczos Algorithm and Its Applications to Color Image Processing

Generalized Two-Dimensional Quaternion Principal Component Analysis with Weighting for Color Image Recognition

F-2D-QPCA: A Quaternion Principal Component Analysis Method for Color Face Recognition

Robust Dual-Color Watermarking Based on Quaternion Singular Value Decomposition

Advanced Variations of Two-Dimensional Principal Component Analysis for Face Recognition

Matrix LSQR algorithm for structured solutions to quaternionic least squares problem

Color Image Restoration by Saturation-Value Total Variation

Robust quaternion matrix completion with applications to image inpainting

Improved Two-Dimensional Quaternion Principal Component Analysis

Sample-Relaxed Two-Dimensional Color Principal Component Analysis for Face Recognition and Image Reconstruction

Perturbation analysis of an eigenvector-dependent nonlinear eigenvalue problem with applications

On commuting solutions of the Yang–Baxter-like matrix equation

A structured condition number for self-adjoint polynomial matrix equations with applications in linear control

Lanczos method for large-scale quaternion singular value decomposition

A Quaternion Framework for Robust Color Images Completion

A New Structure-Preserving Method for Recognition of Color Face Images

LSQR algorithm with structured preconditioner for the least squares problem in quaternionic quantum theory

A New TV-Stokes Model for Image Deblurring and Denoising with Fast Algorithms

A structure-preserving Jacobi algorithm for quaternion Hermitian eigenvalue problems

Color Two-Dimensional Principal Component Analysis for Face Recognition Based on Quaternion Model

梁的广义特征值反问题及离散模型修正 Generalized Inverse Eigenvalue Problem and Model Updating for Discrete Beam

Perturbation analysis for the matrix least squares problem AXB=C

修正的TV-Stokes模型的新快速算法

Structured least-squares problems and inverse eigenvalue problems for (P, Q)-reflexive matrices

New fast algorithms for a modified TV-Stokes model

Solvability Theory and Iteration Method for One Self-Adjoint Polynomial Matrix Equation

结构动力模型更新中带有子矩阵约束的逆特征值问题

A new structure-preserving method for quaternion Hermitian eigenvalue problems

Matrix iterative algorithms for least-squares problem in quaternionic quantum theory

Towards backward perturbation bounds for approximate dual Krylov subspaces

k次R-对称矩阵的Procrustes问题及最佳逼近问题

SYMMETRIC INVERSE GENERALIZED EIGENVALUE PROBLEM WITH SUBMATRIX CONSTRAINTS IN STRUCTURAL DYNAMIC MODEL UPDATING

A Real-Valued Spectral Decomposition of the Undamped Gyroscopic System with Applications

Procrustes Problem of Hermitian Degree k R-symmetric Matrix and Its Approximation Problem

k次R-对称矩阵的特征值反问题及最佳逼近问题

Procrustes problems for (P, Q, η)-reflexive matrices

A new method for roots of monic quaternionic quadratic polynomial

Solvability and sensitivity analysis of polynomial matrix equation Xs + ATXtA = Q

Mixed-type reverse order law of (AB)(13)☆

基于四维表示的模糊数赋权排序及简便加减运算

四元数量子力学中一类特征值反问题及其应用(英文)

四元数正则矩阵束广义特征值反问题

LF内部空间的仿紧性

L-smooth拓扑空间新的分离性

会议论文

L-域上的L-半单代数

预印本

On Eigenvector Computation and Eigenvalue Reordering for the Non-Hermitian Quaternion Eigenvalue Problem

A Novel Adaptive Low-Rank Matrix Approximation Method for Image Compression and Reconstruction

A fragile zero-watermarking method based on dual quaternion matrix decomposition

Blind Deconvolution for Color Images Using Normalized Quaternion Kernels

Flexible Quaternion Generalized Minimal Residual Method for Ill-Posed Quaternion Inverse Problems

Data-Driven Bilateral Generalized Two-Dimensional Quaternion Principal Component Analysis with Application to Color Face Recognition

Efficient Robust Watermarking Based on Quaternion Singular Value Decomposition and Coefficient Pair Selection

Relaxed 2-D Principal Component Analysis by $L_p$ Norm for Face Recognition

A New Real Structure-preserving Quaternion QR Algorithm