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math.NA2024
Deflation Techniques for Finding Multiple Local Minima of a Nonlinear Least Squares Problem
Alban Bloor Riley, Marcus Webb, Michael L Baker
In this paper we generalize the technique of deflation to define two new methods to systematically find many local minima of a nonlinear least squares problem. The methods are base…
math.NA2024
A Sherman--Morrison--Woodbury approach to solving least squares problems with low-rank updates
Stefan Güttel, Yuji Nakatsukasa, Marcus Webb +1
We present a simple formula to update the pseudoinverse of a full-rank rectangular matrix that undergoes a low-rank modification, and demonstrate its utility for solving least squa…