Group inverses of matrices of directed trees

نویسندگان

چکیده

A new class of directed trees is introduced. formula for the group inverse matrices associated with any tree belonging to this obtained. This answers affirmatively, a conjecture Catral et al., class.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Group inverses of matrices with path graphs

A simple formula for the group inverse of a 2× 2 block matrix with a bipartite digraph is given in terms of the block matrices. This formula is used to give a graph-theoretic description of the group inverse of an irreducible tridiagonal matrix of odd order with zero diagonal (which is singular). Relations between the zero/nonzero structures of the group inverse and the Moore-Penrose inverse of...

متن کامل

faculty of psychology and social sciences group of anthropology master thesis in major of anthropology

چکیده پایان نامه (شامل خلاصه، اهداف، روش های اجرا و نتایج به دست آمده): کار جمع آوری گو یش های محلی در سال های اخیر شتاب امیدوار کننده ای به خود گرفته است. شاید از بارزترین اهداف جمع آوری گویش های مختلف، ثبت و ضبط آن، جلوگیری از نابودی و مهمتر از همه حل مشکلات دستوری زبان رسمی باشد. دقت در فرآیند های زبانی گویش های محلی نوع ارتباط مردم نواحی مختلف با پیرامون نشان را به ما نشان خواهد داد. از س...

Ela Group Inverses for Matrices over a Bezout Domain∗

Suppose R is a Bezout domain. In this paper, some necessary and sufficient conditions for the existence of the group inverse for square matrix over R are given, the conditions for the existence of the group inverse of products of matrices are studied, and the equivalent conditions for reverse order law of group inverse of product of matrices are obtained. Also the existence and the representati...

متن کامل

Inverses of regular Hessenberg matrices

A new proof of the general representation for the entries of the inverse of any unreduced Hessenberg matrix of finite order is found. Also this formulation is extended to the inverses of reduced Hessenberg matrices. Those entries are given with proper Hessenbergians from the original matrix. It justifies both the use of linear recurrences for such computations and some elementary properties of ...

متن کامل

Structured matrices and inverses

A matrix (and any associated linear system) will be referred to as structured if it has a small displacement rank. It is known that the inverse of a structured matrix is structured, which allows fast inversion (or solution), and reduced storage requirements. According to two definitions of displacement structure of practical interest, it is shown here that several types of inverses are also str...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Electronic Journal of Linear Algebra

سال: 2022

ISSN: ['1081-3810', '1537-9582']

DOI: https://doi.org/10.13001/ela.2022.7093