Singular matrices possessing the triangle property

Abstract

It is known that the inverse of an invertible real square matrix satisfying the triangle property is a tridiagonal matrix. In this note, results that may be considered as analogues of this assertion are obtained for the Moore-Penrose inverse and the group inverse.

Keywords

• triangle property
• tridiagonal matrix
• pentadiagonal matrix
• group inverse
• moore-penrose inverse
• 15a03
• 15a09