Basis Norm Rescaling for Nonlinear Parameter Estimation

DOI10.1137/S1064827598341645zbMath0960.65081MaRDI QIDQ4509822

K. Brusdal, Trond Mannseth

Publication date: 19 October 2000

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

inverse problemnumerical experimentsnonlinear parameter estimationnonlinear ill-posed problemelliptic equationHaar basismultiscale parameterizationbasis norm rescalingBroyden-Fletcher-Goldfarb-Shannon qusi-Newton minimization procedurerescaling effects

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55) Discrete approximations in optimal control (49M25) Inverse problems in optimal control (49N45) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (2)

Level set and total variation regularization for elliptic inverse problems with discontinuous coefficients. ⋮ A computational framework for the regularization of adjoint analysis in multiscale PDE systems.

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