A method to compute the inverse of a complex N-block tridiagonal Quasi-Hermitian matrix

Abstract

This paper presents a method to compute the inverse of a complex n-block tridiagonal quasi-hermitían matrix using adequate partitions oí the complete matrix. This type of matrix is very usual in quantum mechanics and, more specifically, in solid state physics (e.g., interfaces and super-lattices), when the tight-binding approximation is used. The efficiency of the method is analysed comparing the required CPU time and work-area for different usual techniques.