1991 a numerical study of an augmented lagrangian method for the estimation of parameters in elliptic systems siam journal on scientific and statistical computing 124 884 910 abstract pdf 2640 kb. By using the augmented lagrangian method the inverse problem is reduced to a coupled nonlinear algebraic system which can be solved efficiently with the preconditioned conjugate gradient method finally we present some numerical experiments to show the efficiency of the proposed methods even for identifying highly discontinuous parameters. An augmented lagrangian method for identifying discontinuous parameters in elliptic systems article pdf available in siam journal on control and optimization 373 december 1999 with 50 reads. Gaussian graphical models are of great interest in statistical learning because the conditional independencies between different nodes correspond to zero entries in the inverse covariance matrix of the gaussian distribution one can learn the structure of the graph by estimating a sparse inverse covariance matrix from sample data by solving a convex maximum likelihood problem with an l1 . A numerical study of an augmented lagrangian method for the estimation of parameters in elliptic systems in this paper we consider an augmented lagrangian method for the minimization of a
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