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Relationship plurality approximation

Abstract

An algorithm for the approximation of relationship pluralities is set by linear combinations of functions with unknown coefficients, which in part coincides in all relationship pluralities having been built using ordinary least squares. Examples of the algorithm’s realization, when finding particular solutions plurality of linear nonhomogeneous differential equations, have been given.

About the Author

V. D. Lukyanov
JSC Avangard
Russian Federation

Saint Petersburg



References

1. Kobzar’ A.I. Applied Mathematical Statistics. For Engineers and Scientists. Moscow, Fizmatlit, 2006.

2. Seber G.A.F. Linear Regression Analysis. John Wiley and Sons. New York, London, Sydney, Toronto, 1977.

3. Williams E.J. Regression Analysis. New York, Wiley, 1959.

4. Sprent P. Models in Regression and Related Topics. London, Methuen, 1969.

5. Lukyanov V.D. On the Issue of Interpolation Approximation Polynomial Construction. Nanosystems: Physics, Chemistry, Mathematics, 3 (6), P. 5–15 (2012).


Review

For citations:


Lukyanov V.D. Relationship plurality approximation. Nanosystems: Physics, Chemistry, Mathematics. 2014;5(3):384-390.

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ISSN 2220-8054 (Print)
ISSN 2305-7971 (Online)