Conjugate Gradient Inversion Method for Nonlinear Inversion with MATLAB Implementation

The conjugate gradient inversion method in nonlinear inversion is an efficient inversion technique that can yield accurate results within a relatively short timeframe. MATLAB programs facilitate effective implementation of this method, where through coding and debugging processes, we can gain deeper insights into the principles and implementation details of the conjugate gradient inversion approach. The algorithm typically involves implementing key components such as gradient computation, conjugate direction updates, and line search optimization. Furthermore, various optimization techniques can be incorporated to enhance the conjugate gradient inversion method, including preconditioning strategies, adaptive step-size selection, and convergence criteria modifications, making it adaptable to different inversion scenarios. Therefore, mastering both the conjugate gradient inversion methodology and MATLAB programming skills is essential for solving complex geophysical inversion problems efficiently.