Improved tensor-trick algorithm: Application to helium trimer (Q1973536)

There is an effective representation of the Faddeev matrix operator related to differential Faddeev equations in the configuration space for the numerical investigation of a three-body system. The efficiency of the related Faddeev calculations is connected with the task to find an effective way to factor out the corresponding numerical matrix by using Groningen group. A proposed algorithm for the related computations is the so-called tensor-trick algorithm. This short note presents an improved modification of the tensor-trick algorithm by saving computational time elapsed (in terms of the number of operations per step). The described technique is applied to the calculation of ground and excited states of Helium trimer.