28 citations · 222 across the 42 of their papers we have counts for
4 papers · 1 filter
On the Condition Number of the Total Least Squares Problem
Zhongxiao Jia, Bingyu Li
This paper concerns singular value decomposition (SVD)-based computable formulas and bounds for the condition number of the Total Least Squares (TLS) problem. For the TLS problem w…
On the Convergence of Ritz Pairs and Refined Ritz Vectors for Quadratic Eigenvalue Problems
Tsung-Ming Huang, Zhongxiao Jia, Wen-Wei Lin
For a given subspace, the Rayleigh-Ritz method projects the large quadratic eigenvalue problem (QEP) onto it and produces a small sized dense QEP. Similar to the Rayleigh-Ritz meth…
On Inner Iterations in the Shift-Invert Residual Arnoldi Method and the Jacobi--Davidson Method
Zhongxiao Jia, Cen Li
Using a new analysis approach, we establish a general convergence theory of the Shift-Invert Residual Arnoldi (SIRA) method for computing a simple eigenvalue nearest to a given tar…
A contribution to the condition number of the total least squares problem
Zhongxiao Jia, Bingyu Li
This paper concerns cheaply computable formulas and bounds for the condition number of the TLS problem. For a TLS problem with data , , two formulas are derived that are simp…