Matrices splitting the norm and their applications in the theory of stability of difference schemes

Andrzej Pokrzywa. "Matrices splitting the norm and their applications in the theory of stability of difference schemes." Mathematica Applicanda 13.26 (1985): null. <http://eudml.org/doc/292598>.

@article{AndrzejPokrzywa1985,
abstract = {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.},
author = {Andrzej Pokrzywa},
journal = {Mathematica Applicanda},
keywords = {Matrix norms, conditioning, scaling; Norms of matrices, numerical range, applications of functional analysis to matrix theory; Stability and convergence of difference methods},
language = {eng},
number = {26},
pages = {null},
title = {Matrices splitting the norm and their applications in the theory of stability of difference schemes},
url = {http://eudml.org/doc/292598},
volume = {13},
year = {1985},
}

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
VL - 13
IS - 26
SP - null
AB - 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.
LA - eng
KW - Matrix norms, conditioning, scaling; Norms of matrices, numerical range, applications of functional analysis to matrix theory; Stability and convergence of difference methods
UR - http://eudml.org/doc/292598
ER -