In this paper, we survey some of the latest development in using inexact Newton-like methods for solving inverse eigenvalue problems. These methods require the solutions of nonsymmetric and large linear systems. One can solve the approximate Jacobian equation by iterative methods. However, iterative methods usually oversolve the problem in the sense that they require far more (inner) iterations...

Recently inverse halftoning techniques are applied in many image processing applications, in which an efficient inverse halftoning method, that provides high quality gray-scale image from any binary halftone image, is required. In this paper we propose two neural networks based inverse halftoning methods, which are Multilayer Perceptron (MLP)-based and Radial Basis Function (RBF)-based inverse ...

Estimation of various flow and mass transport parameters can be seen as the inverse problem of groundwater modeling. In this article, current methodologies for parameter estimation are classified according to whether they consider the errors in observation data, in parameter structure, and in model applications. The structures of hydraulic parameters are usually very complex and unknown. This a...

Inverse wave scattering problems arise in many applications including computerized/diffraction tomography, seismology, diffraction/holographic grating design, object identification from radar singals, and semiconductor quality control. Efficient algorithms exist for some inverse wave scattering problems in the low-and high-frequency regime or with weak scatterers. However, inverse wave scatteri...

Graphical procedures can be useful for illustrating and evaluating the process of inverse regression. We first review some simple and well-known graphical approaches for univariate linear and nonlinear models. We then propose a new graphical tool applicable to situations where the response is bivariate and repeated measures data are available. The proposed method is illustrated with an example ...

The reconstruction of bioelectric fields from non-invasive measurements can be used as a powerful new diagnostic tool in cardiology and neurology. Mathematically, the reconstruction of a bioelectric field can be modeled as an inverse problem for a potential equation. This problem is ill-posed and requires special treatment, in particular either regularization or an otherwise suitable restrictio...

The imaging of buried land mines continues to present significant signal-processing challenges in the development of inverse methods for the detection of plastic mines buried in soil. To address this difficult problem, recent mathematical advances in the development of the Elliptic Systems Method are used to generate images of the buried land mines. The proposed approach adapts earlier methods,...

In the recent interior point methods for linear programming much attention has been given to the logarithmic barrier method. In this paper we will analyse the class of inverse barrier methods for linear programming, in which the barrier is P x r i , where r > 0 is the rank of the barrier. There are many similarities with the logarithmic barrier method. The minima of an inverse barrier function ...

In this paper we propose an original approach to solve the Inverse Kinematics problem. Our framework is based on Sequential Monte Carlo Methods and has the advantage to avoid the classical pitfalls of numerical inversion methods since only direct calculations are required. The resulting algorithm accepts arbitrary constraints and exhibits linear complexity with respect to the number of degrees ...