Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology

DOI10.1088/0266-5611/4/1/017zbMath0642.65052OpenAlexW1979202072MaRDI QIDQ3783446

Fadil Santosa, William W. Symes

Publication date: 1988

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/4/1/017

zbMATH Keywords

numerical exampleinverse problemsconjugate gradient algorithmGauss-Newton methodnonlinear least squaresacoustic mediumNewton correctionreflection seismology

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical optimization and variational techniques (65K10) Seismology (including tsunami modeling), earthquakes (86A15) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (6)

A truncated Newton optimization algorithm in meteorology applications with analytic Hessian/vector products ⋮ Wavelet-based functional reconstruction and extrapolation of fractional random fields ⋮ A Time-Domain Preconditioned Truncated Newton Approach to Visco-acoustic Multiparameter Full Waveform Inversion ⋮ Efficient calculation of Jacobian and adjoint vector products in the wave propagational inverse problem using automatic differentiation ⋮ The adjoint Newton algorithm for large-scale unconstrained optimization in meteorology applications ⋮ A polarization tensor approximation for the Hessian in iterative solvers for non-linear inverse problems

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