The problem of determining the shape an object from knowledge far-field a single incident wave in two-dimensional elasticity was considered. We applied iterative hybrid method to tackle this problem. An advantage is that it does not need forward solver, and therefore, exact boundary condition essential. By deriving Fréchet derivatives two operators, we established reconstruction algorithms for ...

The computation of the inverse roots of matrices arises in evaluating non-symmetriceigenvalue problems, solving nonlinear matrix equations, computing some matrixfunctions, control theory and several other areas of applications. It is possible toapproximate the matrix inverse pth roots by exploiting a specialized version of New-ton's method, but previous researchers have mentioned that some iter...

The oblique backscatter sounding is a powerful tool for detecting the ionosphere. This paper discusses the inverse problem of the ionospheric parameters by applying the inverse theory, and develops a new inverse method for this problem, trying to get over the difficulties of instability and non-uniqueness. The Genetic Algorithms (GAs) are introduced to established a 2-dimensional ionospheric Ge...