Secondary range symmetric matrices [version 1; peer review: 2 approved, 1 approved with reservations]

Abstract

The concept of secondary range symmetric matrices are introduced here. Some characterizations as well as the equivalent conditions for a range symmetric matrix to be secondary range symmetric matrix is given. The idea of range symmetric matrices, range symmetric matrices over Minkowski space and secondary range symmetric matrices are different, and is depicted with the help of suitable examples. Finally, a necessary and sufficient condition for a secondary range symmetric matrix to have a secondary generalized inverse has been obtained.

Keywords

• Generalized inverses
• Secondary generalized inverses
• Secondary transpose
• EP matrices
• eng