For a non negative measure $\mu$ with $p$ atoms, we study the relation between Square Root Problem of and problem subnormality ${\tilde W_\mu}$ Aluthge transform associated unilateral weighted shift. We use an approach based on uniquely represented elements in support $\mu*\mu$. first show that if is subnormal, then $2p-1\le card(supp(\mu*\mu))\le [\frac{(p-1)^2+6}{2}]$. rewrite several results...

We examine a special case of an approximation the joint spectral radius given by Blondel and Nesterov, which we call outer radius. The is square root ordinary n2 matrix $$\sum \overline {{X_i}} \otimes {X_i}$$ ∑ X i ¯ ⊗ . give analogue formula for can be used to quickly obtain error bounds in methods based on work Nesterov. analyze iterates completely positive map, including quantum channels. a...

This paper presents a fuzzy neural network (FNN) control system to automatically manage the hemodynamic variables of patients with hypertension and congestive heart failure (CHF) via simultaneous infusion of cardiac drugs such as vasodilators and inotropic agents. The developed system includes two FNN sub-controllers for regulating cardiac output (CO) and mean arterial pressure (MAP) by cardiac...