We modify our earlier homotopic process for iterative inversion of Toeplitz and Toeplitz-like matrices to improve the choice of the initial approximate inverses at every homotopic step. This enables us to control the condition of the auxiliary matrices and to accelerate convergence substantially. The algorithm extends our older approach where the input matrix was factorized into the product of ...

Algorithms for inversion of seismic prestack AVO data into lithology-fluid classes in a vertical profile are evaluated. The inversion is defined in a Bayesian setting where the prior model for the lithology-fluid classes is a Markov chain, and the likelihood model relates seismic data and elastic material properties to these classes. The likelihood model is approximated such that the posterior ...

Anew computationally efficient directmethod is applied to estimating unsaturated hydraulic properties during steady-state infiltration and evaporation at soil surface. For different soil types with homogeneous and layered heterogeneity, soil hydraulic parameters and unsaturated conductivities are estimated. Unlike the traditional indirect inversion method, the direct method does not require for...

The damped Gauss-Newton (dGN) algorithm for CANDECOMP/PARAFAC (CP) decomposition can handle the challenges of collinearity of factors and different magnitudes of factors; nevertheless, for factorization of an N-D tensor of size I1 × · · · × IN with rank R, the algorithm is computationally demanding due to construction of large approximate Hessian of size (RT × RT ) and its inversion where T = n...

Functional inversion based on local approximate solutions (LAS) is developed for steady-state flow in heterogeneous aquifers. The method employs a set of LAS of flow to impose spatial continuity of hydraulic head and Darcy fluxes in the solution domain, which are conditioned to limited measurements. Hydraulic conductivity is first parameterized as piecewise continuous, which requires the additi...

We investigate the variable-exponent Abel integral equations and corresponding fractional Cauchy problems. The main contributions of work are enumerated as follows: (i) develop an approximate inversion technique for operators, based on which we analyze differential equations; (ii) prove that sensitive dependence well-posedness classical Riemann-Liouville initial value could be resolved by adjus...

we study the notion of bounded approximate connes-amenability for‎ ‎dual banach algebras and characterize this type of algebras in terms‎ ‎of approximate diagonals‎. ‎we show that bounded approximate‎ ‎connes-amenability of dual banach algebras forces them to be unital‎. ‎for a separable dual banach algebra‎, ‎we prove that bounded‎ ‎approximate connes-amenability implies sequential approximate...

This study presents a collocation approach for the numerical integration of multi-order fractional differential equations with initial conditions in Caputo sense. The problem was transformed from its integral form into system linear algebraic equations. Using matrix inversion, are solved and their solutions substituted approximate equation to give results. effectiveness precision method were il...

in this research we have studied tabriz temperature inversion using radio-sound information, during the 2004-2008 periods in daily, monthly and seasonally scales. produced data associated with temperature inversion daily of the surface (2 meters) to 700 h.pa. several different measures are used, including the height of the base and the height of the top of the inversion, the temperature at the ...