An algorithm for constructing doubly stochastic matrices for the inverse   eigenvalue problem
  In this note, we present an algorithm that yields many new methods for constructing doubly stochastic and symmetric doubly stochastic matrices for the inverse eigenvalue problem. In addition, we introduce new open problems in this area that lay the ground for future work 
Bassam Mourad, Hassan Abbas, Ayman Mourad, Ahmad Ghaddar and Issam   Kaddoura
math.SP