Some results on core EP Drazin matrices and partial isometries

التفاصيل البيبلوغرافية
العنوان: Some results on core EP Drazin matrices and partial isometries
المؤلفون: Aghamollaei, Gholamreza, Mortezaei, Mahdiyeh, Mosic, Dijana, Thome, Nestor
سنة النشر: 2025
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Numerical Analysis, Mathematics - Operator Algebras
الوصف: In this paper, by using the core EP inverse and the Drazin inverse which are two well known generalized inverses, a new class of matrices entitled core EP Drazin matrices (shortly, CEPD matrices) is introduced. This class contains the set of all EP matrices and also the set of normal matrices. Some algebraic properties of these matrices are also investigated. Moreover, some results about the Drazin inverse and the core EP inverse of partial isometries are derived, and using them, some conditions for which partial isometries are CEPD, are obtained. To illustrate the main results, some numerical examples are given.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2501.06520
رقم الانضمام: edsarx.2501.06520
قاعدة البيانات: arXiv