Abstract
IN certain problems, e.g. the approximate evaluation of several elementary functions simultaneously (in particular, sin x and cos x), or evaluation of functions with gradually increasing accuracy, it is a question of evaluating two or more polynomials of a real argument x with fixed real coefficients at many points x common to all the polynomials. The familiar Horner scheme might be used here, expending n multiplications and n additions ( n is the degree of the polynomial) on the evaluation of each polynomial. But we can economize on operations by using a scheme with preliminary processing of the coefficients [1–4]. In these papers the schemes are constructed for evaluating a single polynomial.
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