In this paper we study surfaces in Euclidean 3-space that satisfy a Weingarten condition of linear type as κ1 = mκ2 + n, where m and n are real numbers and κ1 and κ2 denote the principal curvatures at each point of the surface. We investigate the possible existence of such surfaces parametrized by a uniparametric family of circles. Besides the surfaces of revolution, we prove that not exist mor...

In this paper, we present a family of new Chebyshev-type methods free from second derivatives for solving non-linear equations. Analysis of convergence shows that these new methods are cubically convergent. As particular cases, we introduce two efficient methods in this family of the new methods, the practical utility of which is demonstrated by numerical examples. 2005 Elsevier Inc. All rights...

Two algorithms of decomposition of composite protein tryptophan fluorescence spectra were developed based on the possibility that the shape of elementary spectral component could be accurately described by a uniparametric log-normal function. The need for several mathematically different algorithms is dictated by the fact that decomposition of spectra into widely overlapping smooth components i...

Abstract We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity having non-differentiable kernel Nemystkii type. So, in order to solve it we uniparametric family iterative processes derivative free, main advantage that for special value involved parameter method obtained coincides Newton’s method, is due fact evaluating divided difference operator whe...

We consider abelian varieties with a group of automorphisms isomorphic to generalized quaternion group. provide isogeny decompositions, compute dimensions the corresponding factors and give conditions under which this decomposition is nontrivial. then specialize our results Jacobians relate them so-called genus-zero actions on Riemann surfaces. A complete classification uniparametric families s...

We study the light rings and shadows of an uniparametric family spherically symmetric geometries interpolating between Schwarzschild solution, a regular black hole, traversable wormhole, dubbed as bounces, all them sharing same critical impact parameter. consider ray-tracing method in order to parameter regions corresponding direct, lensed, photon ring emission, finding broadening these for bou...

In this work, a uniparametric generalization of the iterative method due to Kurchatov is presented. The model presented derivative-free and approximates solution nonlinear equations when operator non-differenciable. As accessibility usually problem in application method, since set initial guesses that guarantee convergence small, main objective work improve its while maintaining even increasing...