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math.OC2019
Model Boundary Approximation Method as a Unifying Framework for Balanced Truncation and Singular Perturbation Approximation
Philip E. Paré, David Grimsman, Alma T. Wilson +2
We show that two widely accepted model reduction techniques, Balanced Truncation and Balanced Singular Perturbation Approximation, can be derived as limiting approximations of a ca…
math.OC2012★ 3 cited
Geodesic acceleration and the small-curvature approximation for nonlinear least squares
Mark K. Transtrum, James P. Sethna
It has been shown numerically that the performance of the Levenberg-Marquardt algorithm can be improved by including a second order correction known as the geodesic acceleration. I…