# Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2014)

- Volume: 34, Issue: 2, page 191-206
- ISSN: 1509-9407

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topMichael I. Gil'. "Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 34.2 (2014): 191-206. <http://eudml.org/doc/270241>.

@article{MichaelI2014,

abstract = {Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.},

author = {Michael I. Gil'},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {matrix equations; norm estimates; perturbations; invariant subspaces},

language = {eng},

number = {2},

pages = {191-206},

title = {Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C},

url = {http://eudml.org/doc/270241},

volume = {34},

year = {2014},

}

TY - JOUR

AU - Michael I. Gil'

TI - Norm estimates for solutions of matrix equations AX-XB=C and X-AXB=C

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2014

VL - 34

IS - 2

SP - 191

EP - 206

AB - Let A, B and C be matrices. We consider the matrix equations Y-AYB=C and AX-XB=C. Sharp norm estimates for solutions of these equations are derived. By these estimates a bound for the distance between invariant subspaces of matrices is obtained.

LA - eng

KW - matrix equations; norm estimates; perturbations; invariant subspaces

UR - http://eudml.org/doc/270241

ER -

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