2 citations · 4 across the 7 of their papers we have counts for
7 papers
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…
Linearized estimate of the backward error for the equality constrained indefinite least squares problem
Huai-An Diao, Tong-Yu Zhou
In this note, we concentrate on the backward error of the equality constrained indefinite least squares problem. For the normwise backward error of the equality constrained indefin…
A Condition Analysis of the Weighted Linear Least Squares Problem Using Dual Norms
Huai-An Diao, Liming Liang, Sanzheng Qiao
In this paper, based on the theory of adjoint operators and dual norms, we define condition numbers for a linear solution function of the weighted linear least squares problem. The…
Mixed and componentwise condition numbers for a linear function of the solution of the total least squares problem
Huai-An Diao, Yang Sun
In this paper, we consider the mixed and componentwise condition numbers for a linear function of the solution to the total least squares (TLS) problem. We derive the explicit expr…
Backward error and condition number analysis for the indefinite linear least squares problem
Huai-An Diao, Tong-Yu Zhou
In this paper, we concentrate on the backward error and condition number of the indefinite least squares problem. For the normwise backward error of the indefinite least square pro…
Mixed and componentwise condition numbers for a linear function of the solution of the linear least squares problem with equality constrains
Huai-An Diao
In this paper, we consider the mixed and componentwise condition numbers for a linear function of the solution to the linear least squares problem with equality constrains (LSE). W…
Backward Errors and Small Sample Condition Estimation for -Sylveter Equations
Huai-An Diao, Hong Yan, Eric King-wah Chu
In this paper, we adopt a componentwise perturbation analysis for -Sylvester equations. Based on the small condition estimation (SCE), we devise the algorithms to estimate n…