What is the concept of numerical methods for solving inverse problems in Numerical Analysis?

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What is the concept of numerical methods for solving inverse problems in Numerical Analysis?

The concept of numerical methods for solving inverse problems in Numerical Analysis involves finding the unknown parameters or inputs of a mathematical model, given the observed outputs or results. These methods use computational algorithms to approximate the solution by iteratively adjusting the parameters until a satisfactory match between the observed and predicted outputs is achieved. The numerical methods for solving inverse problems often involve optimization techniques, such as least squares or regularization methods, to minimize the error between the observed and predicted outputs.