*Per-åke Wedin*: Umeå University, Sweden

Thomas Viklands; UmeÃ¥; has developed an algorithm and furthered the analysis for one problem of this kind; the Penrose-Procrustes regression problem. Viklands has shown that this problem can have 2n local minima. Here n is the number of orthogonal vectors for which the optimization problem is defined. ViklandÂ´s algorithm tries to find all the minima of the P-P problem.

In this talk we will summarize the state of the art of the research in this area with special emphasis on the Penrose-Procrustes regression problem.