ON THE CONTINUITY MEASURE OF THE KRYLOV BASIS AND ASSOCIATED HESSENBERG FORM

Authors
KUZNETSOV SV
Citation
Sv. Kuznetsov, ON THE CONTINUITY MEASURE OF THE KRYLOV BASIS AND ASSOCIATED HESSENBERG FORM, Zeitschrift fur angewandte Mathematik und Mechanik, 76, 1996, pp. 449
Citations number
4
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
76
Year of publication
1996
Supplement
1
Database
ISI
SICI code
0044-2267(1996)76:<449:OTCMOT>2.0.ZU;2-Q
Abstract
In this paper we give measures of sensitivity of the Krylov orthonorma l bases and the Hessenberg forms of matrix with respect to matrix and starting vector perturbations. Our investigation is based on the condi tion numbers of the Krylov basis of the Krylov subspace K-j(A,f) = spa n[f,Af,...,A(j-1)f], where A is a matrix and f is a vector.