Hanyu Li
Chongqing University
71 Papers
155 Citations
Hanyu Li is an academic researcher from Chongqing University. The author has contributed to research in topics: Computer science & Condition number. The author has an hindex of 9, co-authored 55 publications.
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Papers
Partial condition number for the equality constrained linear least squares problem
Hanyu Li,Shaoxin Wang +1 more
TL;DR: In this paper, the condition number of a linear function of the equality constrained linear least squares solution called the partial condition number is considered and its expression and closed formulae are first presented when the data space and the solution space are measured by the weighted Frobenius norm and the Euclidean norm, respectively.
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Weighted Polar Decomposition and WGL Partial Ordering of Rectangular Complex Matrices
TL;DR: The unique weighted polar decomposition theorem for rectangular complex matrices is first proved based on introducing the weighted partial isometric matrices, and a new partial ordering called WGL partial ordering is defined on the set of rectangular matrices.
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Condition numbers for the nonlinear matrix equation and their statistical estimation
Shaoxin Wang,Hu Yang,Hanyu Li +2 more
TL;DR: In this article, four different types of condition numbers, i.e., two normwise ones, mixed and componentwise ones for the nonlinear matrix equation X + A ⋆ F ( X ) A = Q, were derived using the probabilistic spectral norm estimator and the statistical condition estimation method.
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On the partial condition numbers for the indefinite least squares problem
Hanyu Li,Shaoxin Wang +1 more
TL;DR: In this article, the condition number of a linear function of the indefinite least squares solution is called the partial condition number for the continuous least squares problem, and the corresponding structured partial condition numbers are also taken into consideration when the problem is structured.
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On mixed and componentwise condition numbers for indefinite least squares problem
Hanyu Li,Shaoxin Wang,Hu Yang +2 more
TL;DR: In this article, the mixed and componentwise condition numbers for the indefinite least squares problem without constraints or with least squares constraints are presented and the explicit expressions and easily computable upper bounds for these condition numbers are presented.
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