Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices

@inproceedings{Elsner2001ConditionsFS,
  title={Conditions for strict inequality in comparisons of spectral radii of splittings of different matrices},
  author={Ludwig Elsner and Andreas Frommer and Reinhard Nabben and Hans Schneider and Daniel B. Szyld},
  year={2001}
}
We present new comparison theorems for the spectral radii of matrices arising from splittings of different matrices under nonnegativity assumptions. Our focus is on establishing strict inequalities of the spectral radii without imposing strict inequalities of the matrices, but we also obtain new results for nonstrict inequalities of the spectral radii. We… CONTINUE READING