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

Mathematica Applicanda (1985)

- Volume: 13, Issue: 26
- ISSN: 1730-2668

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topAndrzej 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 -

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