A new family of extended Gauss quadratures with an interior interval constraint

An efficient radar tracking algorithm using multidimensional Gauss-Hermite quadratures

In radar tracking target motion is best modeled in Cartesian coordinates. Its position is however measured in polar coordinates (range and azimuth). Tracking in Cartesian coordinates with noisy polar measurements requires either converting the measurements to a Cartesian frame of reference and then applying the linear Kalman lter to the converted measurement [1] or using the extended Kalman lte...

Maximum of the modulus of kernels in Gauss-Turán quadratures

We study the kernels Kn,s(z) in the remainder terms Rn,s(f) of the Gauss-Turán quadrature formulae for analytic functions on elliptical contours with foci at ±1, when the weight ω is a generalized Chebyshev weight function. For the generalized Chebyshev weight of the first (third) kind, it is shown that the modulus of the kernel |Kn,s(z)| attains its maximum on the real axis (positive real semi...

Gauss elimination algorithm for interval matrix

Error estimates for Gauss–Turán quadratures and their Kronrod extensions

We study the kernel Kn,s(z) of the remainder term Rn,s( f ) of Gauss–Turán–Kronrod quadrature rules with respect to one of the generalized Chebyshev weight functions for analytic functions. The location on the elliptic contours where the modulus of the kernel attains its maximum value is investigated. This leads to effective L∞-error bounds of Gauss–Turán–Kronrod quadratures. Following Kronrod,...

an investigation of the types of text reduction in subtitling: a case study of the persian film gilaneh with english subtitles

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