On the cubic convergence of the Paardekooper method
type: Item
instance of: scholarly article
title: On the cubic convergence of the Paardekooper method
zbMATH Open document ID: 0832.65034
DOI: 10.1007/BF01732981
author: N. H. Rhee
author: Vjeran Hari
published in: BIT
publication date: 1996-03-11T00:00:00Z
review text: A Jacobi eigenvalue algorithm, that transforms a real skew-symmetric matrix into Murnaghan form with 2 by 2 blocks in the diagonal, given by \textit{M. H. C. Paardekooper} [Numer. Math. 17, 189-202 (1971; Zbl 0228.65031)] can be reordered in the fashion of \textit{W. F. Mascarenhas} [SIMAX 16, 1197-1209 (1995)], and then have a rate of convergence that is faster than quadratic.
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 773826
zbMATH Keywords: cubic convergence
zbMATH Keywords: Jacobi eigenvalue algorithm
zbMATH Keywords: Murnaghan form
reviewed by: Axel Ruhe
MaRDI profile type: Publication
cites work: On a combined sturm sequence and inverse iteration technique for eigenproblem solution of spinning structures
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description: scientific article; zbMATH DE number 773826