An optimization based method for determining eigenpairs of large real matrices

¹Research Group on Artificial Intelligence University of Szeged,

²Department of Applied Informatics, University of Szeged,

³Department of Theoretical Physics, University of Szeged,
Department of Pharmaceutical Analysis, University of Szeged,
Department of Natural Sciences, Dunaújváros Polytechnic,

The determination of the eigenpairs of real matrices can be treated as a local optimization problem. Suitable non-negative functions are constructed with coinciding local and global minima, which are located at the points defined by the eigenvectors of the underlying matrix. Some properties of these eigenvector functions are investigated and proved.