Inverse of the Generalized Vandermonde Matrix via the Fundamental System of Linear difference Equations

Claudemir Aniz; Mustapha Rachidi

Inverse of the Generalized Vandermonde Matrix via the Fundamental System of Linear difference Equations

( Vol-9,Issue-6,June 2022 ) OPEN ACCESS

Author(s):

Claudemir Aniz, Mustapha Rachidi

Keywords:

Generalized Vandermonde matrix; Inverse of the generalized Vandermonde matrix; Linear difference equations; Analytic formulas; Fibonacci fundamental system.

Abstract:

In this study we display a process for inverting the generalized Vandermonde matrix, using the analytic properties of a fundamental system related to a specific linear difference equations. We establish two approaches allowing us to provide explicit formulas for the entries of the inverse of the generalized Vandermonde matrices. To enhance the effectiveness of our the approaches, significant examples and special cases are given.

Article Info:

Received: 12 May 2022, Received in revised form: 04 Jun 2022, Accepted: 10 Jun 2022, Available online: 15 Jun 2022