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- W3022130132 abstract "This chapter discusses polynomial approximation. One advantage of a polynomial is that it can be easily evaluated in terms of the usual computer operations of addition or subtraction and multiplication. Also, a polynomial can be easily integrated or differentiated to obtain approximations to the integral or derivative of the original function. A disadvantage of approximation by a polynomial is that it cannot approximate for a large function. However, such functions can sometimes be approximated by a rational function, which is the ratio of two polynomials. Also, in many cases, the function to be approximated has properties, such as being positive or being monotone that the approximating functions should also satisfy. This imposes constraints that may make the approximation problem much more difficult. One of the basic approaches to finding an approximating polynomial is by the use of Taylor series. There are many ways to represent the same polynomial and, as it happens, one representation could have computational or other advantages over another." @default.
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- W3022130132 date "1993-01-01" @default.
- W3022130132 modified "2023-09-24" @default.
- W3022130132 title "Polynomial Approximation" @default.
- W3022130132 doi "https://doi.org/10.1016/b978-0-12-289253-0.50008-7" @default.
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