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.ashleyshomestores.shop/product-category/loveseat-sectional-with-table-and-ottoman/