3 papers
math.NA2021
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…
math.NA2019
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…
math.NA2018
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…