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

H. L. Frisch, C. Borzi, G. Ord, J. K. Percus, and G. O. Williams
Phys. Rev. Lett. 63, 927 – Published 28 August 1989
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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.

  • Received 15 February 1989

DOI:https://doi.org/10.1103/PhysRevLett.63.927

©1989 American Physical Society

Authors & Affiliations

H. L. Frisch and C. Borzi

  • Department of Chemistry, State University of New York at Albany, Albany, New York 12222

G. Ord

  • Department of Applied Mathematics, The University of Western Ontario, London, Ontario, Canada N6A 5B9

J. K. Percus

  • Courant Institute of Mathematical Sciences and Department of Physics, New York University, New York, New York 10012

G. O. Williams

  • Department of Mathematics, Manhattan College, New York, New York 10471

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Issue

Vol. 63, Iss. 9 — 28 August 1989

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