66 citations · 115 across the 13 of their papers we have counts for
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math.NA2010★ 2 cited
Unattainability of A Perturbation Bound for Indefinite Linear Least Squares Problems
Joseph F. Grcar
Contrary to an assumption made by Bojanczyk, Higham, and Patel [SIAM J. Matrix Anal. Appl., 24(4):914-931, 2003], a perturbation bound for indefinite least square problems is capab…
math.NA2010★ 7 cited
Spectral Condition Numbers of Orthogonal Projections and Full Rank Linear Least Squares Residuals
Joseph F. Grcar
A simple formula is proved to be a tight estimate for the condition number of the full rank linear least squares residual with respect to the matrix of least squares coefficients a…
math.NA2010
Nuclear Norms of Rank 2 Matrices for Spectral Condition Numbers of Full Rank Linear Least Squares Solutions
Joseph F. Grcar
The condition number of solutions to full rank linear least-squares problem are shown to be given by an optimization problem that involves nuclear norms of rank 2 matrices. The con…