Natural and spectral convergence measures of leslie matrices: Additive norms and the imprimitive cases

Processes and measures of convergence for population matrices are considered based on additive norms other than the eigen-norm. Prior results on natural and spectral converges measures for population matrices [1] are shown to be partly valid for an arbitrarily weighted norm termed the W-norm. Special cases of imprimitive population matrices are analyzed for applicability of results on stability and convergence measures. These include the truncated case that includes post-fertile age groups and periodic cases, i.e., ones in which fertility occurs periodically across age groups.