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

doi:10.1103/PhysRevLett.63.927

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

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	927-929
Number of pages	3
Journal	Physical Review Letters
Volume	63
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevLett.63.927
State	Published - 1989

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.63.927

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title = "Approximate representation of functions of several variables in terms of functions of one variable",

abstract = "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.",

author = "Frisch, {H. L.} and C. Borzi and G. Ord and Percus, {J. K.} and Williams, {G. O.}",

year = "1989",

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language = "English (US)",

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AU - Percus, J. K.

AU - Williams, G. O.

PY - 1989

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AB - 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.

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

Abstract

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