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Sums and Differences of Polynomials
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accuracy Aitken applied approximation ascending factorials assume asymptotic series Bessel boundary conditions calculation central differences central factorials Chapter coefficients column complex roots computation consider convenient convergence corresponding decimals derived described diagonal difference correction difference equations differential equation digits easily elements estimate evaluated Example expansion expressed factor factorial moments finite difference function Gauss give given Hence integral equation interpolation interval inverse involve iterative iterative methods Lagrange polynomial latent roots latent vectors linear equations machines Math matrix method multiplication Newton Newton-Cotes formula obtained obvious operations ordinary differential equations orthogonal Poisson's equation polynomial possible problem procedure quadratic real roots recurrence relation relaxation replaced residuals result rounding errors satisfy second-order equations sequence shown similar simple Simpson's rule solution solving suitable summation symmetric matrix symmetrical tabulated Taylor series usually variables zero