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Multidimensional interpolation by polynomial roots

✍ Scribed by John W. Downing; Josef Michl; Jití Cˇízˇek; Josef Paldus

Publisher
Elsevier Science
Year
1979
Tongue
English
Weight
275 KB
Volume
67
Category
Article
ISSN
0009-2614

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✦ Synopsis

A new procedure is proposed for interpolation and extrapolation of functions by a root of a low=degree polynomial. Three examples of the application of the procedure are presented. The rms error in representing SCF surfaces ranges from 2 cal/mole (linear HCN) to 0.23 kcal/mole (C2v MgH2 triplet).

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Finding roots by deflated polynomial app
Finding roots by deflated polynomial approximation
✍ T.N. Lucas 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 689 KB

A numerical technique is presented which evaluates the roots of polynomials with real coeficients. Features of the method include no complex arithmetic requirements, no need to guess at initial quadratic factor estimates, multiple or nearly equal roots being easily dealt with and a high degree of fl