Geodesic
Matrices splitting the norm and their applications in the theory of stability of difference schemes
Mathematica Applicanda, Tome 13 (1985) no. 26, pp. 29-47.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

In a finite-dimensional real or complex linear normed space X there are characterized all the sets of operators A1,...,An which sum up to the identity operator and such that ||Aix||+...+||Anx|=||x|| for all xX. An example of application in the theory of stability of difference schemes is given.
DOI : 10.14708/ma.v13i26.1647
Classification : 65F35 (15A60,65N10)
Mots-clés : Matrix norms, conditioning, scaling, Norms of matrices, numerical range, applications of functional analysis to matrix theory, Stability and convergence of difference methods 
@article{10_14708_ma_v13i26_1647,
     author = {Andrzej Pokrzywa},
     title = {Matrices splitting the norm and their applications in the theory of stability of difference schemes},
     journal = {Mathematica Applicanda},
     pages = { 29--47},
     publisher = {mathdoc},
     volume = {13},
     number = {26},
     year = {1985},
     doi = {10.14708/ma.v13i26.1647},
     language = {pl},
     url = {http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1647/}
}
TY  - JOUR
AU  - Andrzej Pokrzywa
TI  - Matrices splitting the norm and their applications in the theory of stability of difference schemes
JO  - Mathematica Applicanda
PY  - 1985
SP  -  29
EP  - 47
VL  - 13
IS  - 26
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1647/
DO  - 10.14708/ma.v13i26.1647
LA  - pl
ID  - 10_14708_ma_v13i26_1647
ER  - 
%0 Journal Article
%A Andrzej Pokrzywa
%T Matrices splitting the norm and their applications in the theory of stability of difference schemes
%J Mathematica Applicanda
%D 1985
%P  29-47
%V 13
%N 26
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1647/
%R 10.14708/ma.v13i26.1647
%G pl
%F 10_14708_ma_v13i26_1647
Andrzej Pokrzywa. Matrices splitting the norm and their applications in the theory of stability of difference schemes. Mathematica Applicanda, Tome 13 (1985) no. 26, pp.  29-47. doi : 10.14708/ma.v13i26.1647. http://geodesic.mathdoc.fr/articles/10.14708/ma.v13i26.1647/

Cité par Sources :