New matrix transformations for obtaining characteristic vectors

Providing A New Characteristic for Overcurrent Relays

This with the integration of distributed generation (DG) to meshed distribution systems, the operating time of the protective system becomes a major concern in order to avoid nuisance DG tripping. This paper proposes a new tripping characteristic for directional overcurrent relays (DOCRs) that can achieve a higher possible reduction of overall relays operating time in meshed distribution networ...

A Method for Obtaining Darboux Transformations

For integrable equations which can be solved by the Inverse Scattering Transform, there exist Bäcklund transformations (BTs) [1]. These transformations were first discovered for the Sine-Gordon equation at the end of the 19th century. Usually they are treated as nonlinear superpositions, which allow one to create new solutions of a nonlinear evolution equation from a finite number of known solu...

Some new restart vectors for explicitly restarted Arnoldi method

The explicitly restarted Arnoldi method (ERAM) can be used to find some eigenvalues of large and sparse matrices. However, it has been shown that even this method may fail to converge. In this paper, we present two new methods to accelerate the convergence of ERAM algorithm. In these methods, we apply two strategies for the updated initial vector in each restart cycles. The implementation of th...

Bounds for the Ratios of the Co-ordinates of the Characteristic Vectors of a Matrix.

•Location characteristic of farmland transformations