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- W75063934 abstract "A well-behaved mathematical function like y = x2 is positive for all values of x save at x = 0, where it is zero. The graph of this function is u-shaped with a single minimum at the origin. The minimum value can easily be determined by direct substitution of values of x, from a suitably chosen finite interval size, and comparing the sizes in the resulting values of y. Even when the given function is of a more general and complicated structure, y = f(x), the same type of numerical approach can be applied in general, so long as the domain of x is finite. While this approach may be expensive in terms of computer time nevertheless the method can be used to ascertain the location of local minima or maxima, if any exist, of the prescribed function. The problem of the determination of such local extrema of one-dimensional functions has been examined by many people and numerical techniques for systematically dealing with these problems can be found in a number of text books; e.g. Cooper and Steinberg (1970), Gottfried and Weisman (1973) and Daniels (1978). A recent account and comparison of many methods are given in the report by Garg (1977). These references also include material on the location of a minimum of a function of more than one variable." @default.
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- W75063934 date "1981-01-01" @default.
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- W75063934 title "Optimization Models in Solid Tumor Radiotherapy" @default.
- W75063934 doi "https://doi.org/10.1007/978-3-642-46441-6_6" @default.
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