A variational equation for the linear least-squares backward error is derived via generalized eigenvalue problems, enabling decomposition for multiple right-hand sides and a sketching lower bound of quality comparable to the Karlson-Waldén estimate.
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A Variational Equation and Lower Bound for the Linear Least-Squares Backward Error
A variational equation for the linear least-squares backward error is derived via generalized eigenvalue problems, enabling decomposition for multiple right-hand sides and a sketching lower bound of quality comparable to the Karlson-Waldén estimate.