"DRAZIN THETA AND THETA DRAZIN MATRICES" by Divya Purushothama Shenoy
 

DRAZIN THETA AND THETA DRAZIN MATRICES

Document Type

Article

Publication Title

Numerical Algebra, Control and Optimization

Abstract

In this paper, two new classes of matrices-Drazin-theta matrix and theta-Drazin matrix are introduced for a square matrix of index m. Whenever the index is equal to one, we get special case of matrices called Group-theta matrix and theta-Group matrix respectively. Several characterizations of these matrices, the integral representations, representation in limit form and the representation in terms of rank factorization are obtained. Also, the relationship of Drazin-theta and theta-Drazin matrices with other well known generalized inverses are investigated. By applying the concept of Drazin-theta matrix, general solutions of certain types of matrix equations are characterized here.

First Page

273

Last Page

283

DOI

10.3934/naco.2022023

Publication Date

6-1-2024

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