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- W1611497890 abstract "Publisher SummaryIt is often necessary to find an approximation to a simple zero ζ of a function f, using evaluations of f and f '. This chapter discusses the methods that are efficient if f ' is easier to evaluate than f. The methods discussed are stationary, multipoint, iterative methods without memory in the sense of Traub. Thus, it is sufficient to describe how a new approximation (x1) is obtained from an old approximation (x0) to ζ. If v + 1 evaluations of f are used, instead of one function evaluation and ν derivative evaluations, then the optimal order is 2v for methods without memory and 2v+ 1 for methods with memory." @default.
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- W1611497890 date "1976-01-01" @default.
- W1611497890 modified "2023-09-27" @default.
- W1611497890 title "A CLASS OF OPTIMAL-ORDER ZERO-FINDING METHODS USING DERIVATIVE EVALUATIONS" @default.
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- W1611497890 doi "https://doi.org/10.1016/b978-0-12-697560-4.50009-5" @default.
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