Sparse Matrix Computations Arising in Distributed Parameter Identification

DOI10.1137/S0895479897317703zbMath0936.65051MaRDI QIDQ4702242

Curtis R. Vogel

Publication date: 24 November 1999

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

numerical resultspreconditioningTikhonov regularizationdistributed parameter identificationconjugate gradient iterationsparse matrix computationsgradient evaluationHessian matrix-vector multiplications

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10)

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Inversion of convection-diffusion equation with discrete sources ⋮ A proximal iteratively regularized Gauss-Newton method for nonlinear inverse problems ⋮ Hyper-differential sensitivity analysis with respect to model discrepancy: optimal solution updating ⋮ On a Dynamic Variant of the Iteratively Regularized Gauss–Newton Method with Sequential Data ⋮ Enabling Hyper-Differential Sensitivity Analysis for Ill-Posed Inverse Problems ⋮ A preconditioning technique for a class of PDE-constrained optimization problems

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