Computational Aspects of the General Rodrigues Problem

Oana-Liliana Chender ()
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Oana-Liliana Chender: “Babeş-Bolyai” University

A chapter in Mathematical Analysis in Interdisciplinary Research, 2021, pp 119-133 from Springer

Abstract: Abstract We discuss the general Rodrigues problem and we give explicit formulae for the coefficients when the eigenvalues of the matrix have double multiplicity (Theorem 5). An effective computation for a 0 ( f ) ( X ) $$a_0^{(f)}(X)$$ is given in the case n = 4.

Keywords: Matrix function; Lie group; Lie algebra; Exponential map; Special orthogonal group SO(n); General Rodrigues coefficients; General Rodrigues formula; Hermite interpolation polynomial; 22Exx; 22E60; 22E70 (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-030-84721-0_9

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DOI: 10.1007/978-3-030-84721-0_9

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