Homer representation

These methods may be called analytical, by contrast with another class of iterations that might be called arithmetic, since they exploit the fact that the number representation is finite and digital. The familiar Homer s method is an example. The first step is to establish that a root lies between a certain pair of consecutive integers. Next, if the representation is decimal, f(x) is evaluated at consecutive tenths to determine the pair of consecutive tenths between which the root lies. This is repeated for the hundredths, thousandths, etc., to as many places as may be desired and justified. 

Ash, S., M.A. Cline, R. Webster Homer, T. Hurst, and G.B. Smith. 1997. SYBYL Line Notation (SLN) a versatile language for chemical structure representation. J. Chem. Inf. Comput. Sci. 37 71-79. 

Fig. 1. Schematic representation of algal communities found in sea ice (redrawn from Homer et al. 1988).

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