We present an application of the two-and-half dimensional (2.5D) multiplicative-regularized Gauss-Newton inversion method for the interpretation of the directional resistivity measurements [electromagnetic logging-while-drilling (LWD) measurements]. In this work, an inversion algorithm is employed for obtaining a two-dimensional (2D) resistivity distribution (pixel-based) of the subsurface. Sev...

We derive explicit inversion formulae for the attenuated geodesic and horocyclic ray transforms of functions and vector fields on two-dimensional manifolds equipped with the hyperbolic metric. The inversion formulae are based on a suitable complexification of the associated vector fields so as to recast the reconstruction as a Riemann Hilbert problem. The inversion formulae have a very similar ...

Two dimensional (2D) numerical simulation of low-frequency (1/f) noise is carried out in N-channel polysilicon thin film transistors biased from weak to strong inversion. Noise is simulated by Generation-Recombination processes. Simulation is based on the impedance field method of Shockley. A 2D analysis of the local noise level shows that contribution at grain boundaries dominates from weak to...

An inversion-free iterative algorithm is presented for solving nonlinear matrix equation with a stepsize parameter t. The existence of the maximal solution is discussed in detail, and the method for finding it is proposed. Finally, two numerical examples are reported that show the efficiency of the method. Keywords—Inversion-free method, Hermitian positive definite

In this paper we investigate and compare a number of real inversion formulas for the Laplace transform. The focus is on the accuracy and applicability of the formulas for numerical inversion. In this contribution, we study the performance of the formulas for measures concentrated on a positive half-line to continue with measures on an arbitrary half-line.