6 citations · 9 across the 19 of their papers we have counts for
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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…
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…
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…
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…