ON HYPER G- MATRICES

Keleş H.

TROIA 1st INTERNATIONAL CONFERENCE ON APPLIED SCIENCES, Çanakkale, Turkey, 21 - 23 February 2025, pp.46-51, (Full Text)

  • Publication Type: Conference Paper / Full Text
  • City: Çanakkale
  • Country: Turkey
  • Page Numbers: pp.46-51
  • Karadeniz Technical University Affiliated: Yes

Abstract

Hyper g-matrices are studied here. G-classes of regular matrices are first defined by Fiedler and Hall2. Products of regular matrices are analyzed. The situation in the equation AB CD= is considered. For regular matrices, A B C D, i. If B= C , then these matrices are escort elements. ii. If B=(C^-1)^T and regular and diagonal matrices, A, D then C, G-matrix. The following two cases are open to discussions. iii. If,A in not equal to D and B is not equal to C, regular and diagonal matrices,A,D then, B C hyper g-matrices. iv. If A is not equal to D, B is not equal to C and regular matrices,A D, B, C then it is the open problem. The definition of hyper g-matrices is given. Examples, properties, lemmas and theorems of these matrices are investigated.