Approximate representation of functions of several variables in terms of functions of one variable

H. L. Frisch, C. Borzi, G. Ord, J. K. Percus, G. O. Williams

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We present a procedure of practical use for representing functions of several variables as superpositions of functions of only one variable. We show how the procedure works when applied, for example, to the location of global minima. Our numerical examples are restricted here, for simplicity, to functions of two variables. The straightforward extension to functions of more variables will be discussed elsewhere.

Original languageEnglish (US)
Pages (from-to)927-929
Number of pages3
JournalPhysical Review Letters
Issue number9
StatePublished - 1989

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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