A novel algorithm called the Proper Generalized Decomposition (PGD) is widely used by the engineering community to compute the solution of high dimensional problems. However. it is well-known that the bottleneck of its practical implementation focuses on the computation of the so-called best rank-one approximation. Motivated by this fact. https://www.spidertattooz.com/OPI-Infinite-Shine-All-Your-Dreams-in-Vending-Machines-ISLT84-p27376/