6 citations · 9 across the 19 of their papers we have counts for
19 papers
A mixed precision preconditioned Jacobi method for the symmetric eigenvalue problem
Zhiyuan Zhang, Zheng-Jian Bai
The eigenvalue problem is a fundamental problem in scientific computing. In this paper, we first give the error analysis for a single step or sweep of Jacobi's method in floating p…
Stable determination of an elastic medium scatterer by a single far-field measurement and beyond
Zhengjian Bai, Huaian Diao, Hongyu Liu +1
We are concerned with the time-harmonic elastic scattering due to an inhomogeneous elastic material inclusion located inside a uniformly homogeneous isotropic medium. We establish…
A Riemannian Inexact Newton Dogleg Method for Constructing a Symmetric Nonnegative Matrix with Prescribed Spectrum
Zhi Zhao, Teng-Teng Yao, Zheng-Jian Bai +1
This paper is concerned with the inverse problem of constructing a symmetric nonnegative matrix from realizable spectrum. We reformulate the inverse problem as an underdetermined n…
A Column-Wise Update Algorithm for Sparse Stochastic Matrix Factorization
Guiyun Xiao, Zheng-Jian Bai, Wai-Ki Ching
Nonnegative matrix factorization arises widely in machine learning and data analysis. In this paper, for a given factorization of rank r, we consider the sparse stochastic matrix f…
A geometric proximal gradient method for sparse least squares regression with probabilistic simplex constraint
Guiyun Xiao, Zheng-Jian Bai
In this paper, we consider the sparse least squares regression problem with probabilistic simplex constraint. Due to the probabilistic simplex constraint, one could not apply the L…
Effective medium theory for embedded obstacles in elasticity with applications to inverse problems
Zhengjian Bai, Huaian Diao, Hongyu Liu +1
We consider the time-harmonic elastic wave scattering from a general (possibly anisotropic) inhomogeneous medium with an embedded impenetrable obstacle. We show that the impenetrab…
Single-pass randomized QLP decomposition for low-rank approximation
Huan Ren, Zheng-Jian Bai
The QLP decomposition is one of the effective algorithms to approximate singular value decomposition (SVD) in numerical linear algebra. In this paper, we propose some single-pass r…
On Pole-Zero Assignment of Vibratory Systems by Multi-Input Feedback Control
Zheng-Jian Bai, Yang Wang
In this paper, we consider the pole-zero assignment problem for vibratory systems via multi-input feedback control. We propose a multi-step two-stage approach for solving the multi…
A Modified Orthogonal Matching Pursuit for Construction of Sparse Probabilistic Boolean Networks
Guiyun Xiao, Zheng-Jian Bai, Wai-Ki Ching
Probabilistic Boolean Networks play a remarkable role in the modelling and control of gene regulatory networks. In this paper, we consider the inverse problem of constructing a spa…
Riemannian Newton-CG Methods for Constructing a Positive Doubly Stochastic Matrix From Spectral Data
Yang Wang, Zhi Zhao, Zheng-Jian Bai
In this paper, we consider the inverse eigenvalue problem for the positive doubly stochastic matrices, which aims to construct a positive doubly stochastic matrix from the prescrib…
Condition numbers for the truncated total least squares problem and their estimations
Qing-Le Meng, Huai-An Diao, Zheng-Jian Bai
In this paper, we present explicit expressions for the mixed and componentwise condition numbers of the truncated total least squares (TTLS) solution of $A\boldsymbol{x} \approx \b…
New Formulation and Computation for Generalized Singular Values of Grassman Matrix Pair
Wei-Wei Xu, Michael K. Ng, Zheng-Jian Bai
In this paper, we derive new model formulations for computing generalized singular values of a Grassman matrix pair. These new formulations make use of truncated filter matrices to…
A Riemannian Derivative-Free Polak-Ribiere-Polyak Method for Tangent Vector Field
Teng-Teng Yao, Zhi Zhao, Zheng-Jian Bai +1
This paper is concerned with the problem of finding a zero of a tangent vector field on a Riemannian manifold. We first reformulate the problem as an equivalent Riemannian optimiza…
A Structure-Preserving One-Sided Jacobi Method for Computing the SVD of a Quaternion Matrix
Ru-Ru Ma, Zheng-Jian Bai
In this paper, we provide a structure-preserving one-sided cyclic Jacobi method for computing the singular value decomposition of a quaternion matrix. In this method, the columns o…
A Preconditioned Riemannian Gauss-Newton Method for Least Squares Inverse Eigenvalue Problems
Teng-Teng Yao, Zheng-Jian Bai, Xiao-Qing Jin +1
This paper is concerned with the least squares inverse eigenvalue problem of reconstructing a linear parameterized real symmetric matrix from the prescribed partial eigenvalues in…
Perturbation Analysis of An Eigenvector-Dependent Nonlinear Eigenvalue Problem With Applications?
Yunfeng Cai, Zhigang Jia, Zheng-Jian Bai
The eigenvector-dependent nonlinear eigenvalue problem (NEPv) , where the columns of are orthonormal, , is Hermitia…
A Riemannian Inexact Newton-CG Method for Nonnegative Inverse Eigenvalue Problems: Nonsymmetric Case
Zhi Zhao, Zheng-Jian Bai, Xiao-Qing Jin
This paper is concerned with the nonnegative inverse eigenvalue problem of finding a nonnegative matrix such that its spectrum is the prescribed self-conjugate set of complex numbe…
A Fast Alternating Minimization Algorithm for Total Variation Deblurring Without Boundary Artifacts
Zheng-Jian Bai, Daniele Cassani, Marco Donatelli +1
Recently, a fast alternating minimization algorithm for total variation image deblurring (FTVd) has been presented by Wang, Yang, Yin, and Zhang [{\em SIAM J. Imaging Sci.}, 1 (200…
Fast Preconditioners for Total Variation Deblurring with Anti-Reflective Boundary Conditions
Zheng-Jian Bai, Marco Donatelli, Stefano Serra-Capizzano
In recent works several authors have proposed the use of precise boundary conditions (BCs) for blurring models and they proved that the resulting choice (Neumann or reflective, ant…