32 citations · 39 across the 7 of their papers we have counts for
7 papers
Some Tucker-like approximations based on the modal semi-tensor product
Ze-Jia Xie, Xiao-Qing Jin, Zhi Zhao
Approximating higher-order tensors by the Tucker format has been applied in many fields such as psychometrics, chemometrics, signal processing, pattern classification, and so on. I…
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…
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…
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 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…
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…
Preconditioned iterative methods for space-time fractional advection-diffusion equations
Zhi Zhao, Xiao-Qing Jin, Matthew M. Lin
In this paper we want to propose practical numerical methods to solve a class of initial-boundary problem of space-time fractional advection-diffusion equations. To start with, an…