To derive the hook factorization of a permutation, one can start from the right and factor out each hook step by step. |
Every factorization of n that contains an odd factor will give exactly one trapezoidal representation. |
That made possible the factorization of Jacobian for networks of several hundreds of nodes and in turn the use of the Newton method. |
The work of art stood as the last bastion of pure form perceived as a whole, rejecting any factorization. |
This kind of factorization keeps matrix entries based on the matrix adjacency graph. |
To exploit this, a common approach is to factorize the operator once and apply the factorization to the following steps. |