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math.OC2022★ 1 cited
Accelerated-gradient-based generalized Levenberg--Marquardt method with oracle complexity bound and local quadratic convergence
Naoki Marumo, Takayuki Okuno, Akiko Takeda
Minimizing the sum of a convex function and a composite function appears in various fields. The generalized Levenberg--Marquardt (LM) method, also known as the prox-linear method,…
math.OC2020★ 22 cited
Majorization-Minimization-Based Levenberg--Marquardt Method for Constrained Nonlinear Least Squares
Naoki Marumo, Takayuki Okuno, Akiko Takeda
A new Levenberg--Marquardt (LM) method for solving nonlinear least squares problems with convex constraints is described. Various versions of the LM method have been proposed, thei…