arXiv subjects

Vasilios N. Katsikis

Publications and source records attributed to Vasilios N. Katsikis.

2 recordsLinked to original sources

arXiv2019

Core and Core-EP Inverses of Tensors

Specific definitions of the core and core-EP inverses of complex tensors are introduced. Some characterizations, representations and properties of the core and core-EP inverses are investigated. The results are verified using specific algebraic approach, based on proposed definitions and previously verified properties. The approach used here is new even in the matrix case.

math.NA↗

arXiv2011

An improved method for the computation of the Moore-Penrose inverse matrix

In this article we provide a fast computational method in order to calculate the Moore-Penrose inverse of singular square matrices and of rectangular matrices. The proposed method proves to be much faster and has significantly better accuracy than the already proposed methods, while works for full and sparse matrices.

math.NA↗