In this paper, the homotopy analysis method (HAM) which is a powerful technique of nonlinear analysis, is examined in the solution of the linear vibration equation for very a large circular membrane. The method is shown to be able to handle a variety of pertaining singular boundary value problems (BVPs), to allow for graphical presentation of the results, and appears to be a viable alternative ...

Complex symmetric systems do not in general admit a Cholesky factorization without pivoting, as would be the case for hermitian systems. Nevertheless, for some complex symmetric systems, as those coming from the discretization of boundary integral formulations, pivoting can be avoided. We present a Cholesky factorization algorithm for such complex symmetric systems. We propose a LAPACK-style im...

Remark 1. We quickly recall a couple of definitions Let DivQ(X) := Div(X)⊗Q. On smooth projective surfaces all Q-Weil divisors are also Q-Cartier, hence we can write Q-Cartier every divisor D as a finite sum ∑ xiCi, where the Ci are distinct integral curves and xi ∈ Q. A divisor D is called effective (or sometimes positive) if xi ≥ 0 ∀i. If D · C ≥ 0 for all integral curves C then D we be calle...

The asymptotic behavior of the singular and entropy numbers is established for the Erdelyi–Köber and Hadamard integral operators (see, e.g., [15]) acting in weighted L spaces. In some cases singular value decompositions are obtained as well for these integral transforms. 2000 Mathematics Subject Classification: 47B06, 47B34, 47H50.

The mean operator R0 and its dual R0 play an important role and have many applications, for example, in image processing of the so-called synthetic aperture radar (SAR) data [11, 12] or in the linearized inverse scattering problem in acoustics [6]. Our purpose in this work is to define and study integral transforms which generalize the operators R0 and R0. More precisely, we consider the follow...

We present a domain decomposition method (DDM) devoted to the iterative solution of time-harmonic electromagnetic scattering problems, involving large and resonant cavities. This DDM uses the electric field integral equation (EFIE) for the solution of Maxwell problems in both interior and exterior subdomains, and we propose a simple preconditioner for the global method, based on the single laye...

A simple quadrature rule for the solution of second-kind singular integral equations with variable coeecients is constructed and investigated. This method to calculate numerically singular integrals uses classical Jacobi quadra-tures. The major advantage is its simplicity. The proposed method is conver-gent under a reasonable assumption on the smoothness of the solution. It has a higher converg...

The term attention is typically used to refer to a set of processes that control the fl ow of information through the nervous system, modulating perceptual, motor, and response systems. One type of attention, termed selective attention, allows individuals to select specifi c objects in their environment for enhanced processing—a mechanism that is integral to successfully navigating a complex an...

A new decomposition algorithm for training regression Support Vector Machines (SVM) is presented. The algorithm builds on the basic principles of decomposition proposed by Osuna et. al ., and addresses the issue of optimal working set selection. The new criteria for testing optimality of a working set are derived. Based on these criteria, the principle of "maximal inconsistency" is proposed to ...

The thermal decomposition behavior of the Fe(II), Co(II), Ni(II) and Zn(II) complexes of polydithiooxamide has been investigated by thermogravimetric analysis (TGA) at a heating rate of 20°C min-1 under nitrogen. The Coats-Redfern integral method is used to evaluate the kinetic parameters for the successive steps in the decomposition sequence observed in the TGA curves. The processes of thermal...