Observations for the linear polarization of comet Hyakutake (C/1996B2) are carriedout at three continuumwavebands: 3650Å, 4845Å and 6840Å. These observations were taken on March 13 and March 18, 1996 when the phase angles were 38.1 and 36.9, respectively. These results indicate an increase in the degree of polarizationwith phase angle andwavelength, in general. Present results show that comet H...

It is commonly assumed that calculating third order information is too expensive for most applications. But we show that the directional derivative of the Hessian (Df(x) · d) can be calculated at a cost proportional to that of a state-of-the-art method for calculating the Hessian matrix. We do this by first presenting a simple procedure for designing high order reverse methods and applying it t...

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‎In this paper‎, ‎we present a new modification of Chebyshev-Halley‎ ‎method‎, ‎free from second derivatives‎, ‎to solve nonlinear equations‎. ‎The convergence analysis shows that our modification is third-order‎ ‎convergent‎. ‎Every iteration of this method requires one function and‎ ‎two first derivative evaluations‎. ‎So‎, ‎its efficiency index is‎ ‎$3^{1/3}=1.442$ that is better than that o...