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math.OC2024★ 3 cited
Reduced-Rank Estimation for Ill-Conditioned Stochastic Linear Model with High Signal-to-Noise Ratio
Tomasz Piotrowski, Isao Yamada
Reduced-rank approach has been used for decades in robust linear estimation of both deterministic and random vector of parameters in linear model y=Hx+\sqrt{epsilon}n. In practical…
math.OC2021★ 11 cited
The fixed point iteration of positive concave mappings converges geometrically if a fixed point exists: implications to wireless systems
Tomasz Piotrowski, Renato L. G. Cavalcante
We prove that the fixed point iteration of arbitrary positive concave mappings with nonempty fixed point set converges geometrically for any starting point. We also show that posit…