66 citations · 115 across the 13 of their papers we have counts for
6 papers · 1 filter
SIAM 2020
Joseph F. Grcar
Some observations are made about how the Society for Industrial and Applied Mathematics (SIAM) might be better oriented to serve the industrial and interdisciplinary mathematics co…
Minimal Perturbations to Roots of Parameterized Equations
Joseph F. Grcar
The size of minimal perturbations to roots of parameterized equations can be estimated reliably from linearizations of the equations.
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…
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…
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…
Topical Bias in Generalist Mathematics Journals
Joseph F. Grcar
Generalist mathematics journals exhibit bias toward the branches of mathematics by publishing articles about some subjects in quantities far disproportionate to the production of p…