Digitale Medien
New York, NY [u.a.]
:
Wiley-Blackwell
Numerical Linear Algebra with Applications
2 (1995), S. 297-310
ISSN:
1070-5325
Schlagwort(e):
dynamical systems
;
eigenvalues
;
QR algorithm
;
Francis shift
;
Engineering
;
Engineering General
Quelle:
Wiley InterScience Backfile Collection 1832-2000
Thema:
Mathematik
Notizen:
For many years techniques from numerical analysis have been applied fruitfully to the study of dynamical systems. In this paper it is shown that the theory of dynamical systems may be applied to certain computational problems. In particular the question of global convergence of various QR algorithms can be reduced to the study of certain vector iterations derived from Schur forms of matrices. The technique is illustrated in determining the convergence behavior of normal Hessenberg matrices under the Francis and multishift QR iterations.
Zusätzliches Material:
3 Ill.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1002/nla.1680020310
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