Some properties of the generalized max Frank matrices

Abstract

In this paper, we introduce a new generalization of the Frank matrix, which is a lower Hessenberg matrix called the generalized max -Frank matrix. We obtain a recurrence relation provided by the characteristic polynomial, inverse, determinant, and norm properties of this matrix. We also present an example to illustrate the results obtained.

Keywords

• frank matrix
• max matrix
• max -frank matrix
• determinant
• inverse
• norm