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2022•International Journal of Advanced Engineering Research and ScienceOpen access

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

Claudemir Aniz, Mustapha Rachidi

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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.

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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.

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Available 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.

Key concepts: Vandermonde matrix, Mathematics, Inverse, Matrix (chemical analysis), Generalized inverse, Applied mathematics, System of linear equations, Algebra over a field

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