ISSN:
1420-9039
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Summary We have described two closely related numerical methods for the solution of eigenvalue problems called ‘stabilized iteration’ and ‘mutually stabilized biiteration’. The iteration process shows numerical stability, has no loss of leading figures and is self-correcting, givingsome eigenvectors immediately in the second case, in triangular decomposition in an important special case of the stabilized iteration, called ‘Treppeniteration’. The processes are mathematically closely related toRutishauser's LR-Transformation, but differ in numerical aspect. A certain mixed process, based onRutishauser and the author's ideas, seems to be the optimum way with regard to both security and numerical labor.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01600502
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