Inner-gMP and gMP-inner inverses

Dunja Stojanovic; Dijana Mosic

Makale detayları

Inner-gMP and gMP-inner inverses

Yazarlar:

Dunja Stojanovic | Dijana Mosic

Yayıncı:

Hacettepe University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 5, pp.1312-1325

Belge Tipi:

Makale

Yayın Tarihi:

10/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001329421

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called inner-gMP and gMP-inner inverses. In this way, the concepts of gMP, 1MP and MP1 inverses are generalized. Various representations and characterizations of inner-gMP and gMP-inner inverses are presented. Using the inner and gMP inverse, we define the inner-gMP and gMP-inner inverses which are new extensions of 1MP, MP1 and gMP inverses. We apply inner-gMP and gMP-inner inverses as well as inner-gMP and gMP-inner inverses to solve several kinds of linear equations. Consequently, we obtain solvability of the normal equation which is connected to the least-squares solution. Numerical examples are given to illustrate our results.

 Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called inner-gMP and gMP-inner inverses. In this way, the concepts of gMP, 1MP and MP1 inverses are generalized. Various representations and characterizations of inner-gMP and gMP-inner inverses are presented. Using the inner and gMP inverse, we define the inner-gMP and gMP-inner inverses which are new extensions of 1MP, MP1 and gMP inverses. We apply inner-gMP and gMP-inner inverses as well as inner-gMP and gMP-inner inverses to solve several kinds of linear equations. Consequently, we obtain solvability of the normal equation which is connected to the least-squares solution. Numerical examples are given to illustrate our results.

 Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called inner-gMP and gMP-inner inverses. In this way, the concepts of gMP, 1MP and MP1 inverses are generalized. Various representations and characterizations of inner-gMP and gMP-inner inverses are presented. Using the inner and gMP inverse, we define the inner-gMP and gMP-inner inverses which are new extensions of 1MP, MP1 and gMP inverses. We apply inner-gMP and gMP-inner inverses as well as inner-gMP and gMP-inner inverses to solve several kinds of linear equations. Consequently, we obtain solvability of the normal equation which is connected to the least-squares solution. Numerical examples are given to illustrate our results.

 Solving some systems of operator equations, new kinds of generalized inverses are introduced. Since these new inverses can be expressed by inner and gMP inverses, they are called inner-gMP and gMP-inner inverses. In this way, the concepts of gMP, 1MP and MP1 inverses are generalized. Various representations and characterizations of inner-gMP and gMP-inner inverses are presented. Using the inner and gMP inverse, we define the inner-gMP and gMP-inner inverses which are new extensions of 1MP, MP1 and gMP inverses. We apply inner-gMP and gMP-inner inverses as well as inner-gMP and gMP-inner inverses to solve several kinds of linear equations. Consequently, we obtain solvability of the normal equation which is connected to the least-squares solution. Numerical examples are given to illustrate our results.

Makale detayları

Inner-gMP and gMP-inner inverses

Yazarlar:

Dunja Stojanovic | Dijana Mosic

Yayıncı:

Hacettepe University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 5, pp.1312-1325

Belge Tipi:

Makale

Yayın Tarihi:

10/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001329421

pISSN:

2651-477X

inner-MP inverse

gMP inverse

core–EP inverse

generalized Drazin inverse

Sayı

Makale detayları

Inner-gMP and gMP-inner inverses

Yazarlar: Dunja Stojanovic | Dijana Mosic

Yayıncı: Hacettepe University

Ana Başlıklar: Operator Algebras and Functional Analysis

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 5, pp.1312-1325

Belge Tipi: Makale

Yayın Tarihi: 10/2024

Belge Dili: İngilizce

Document ID (Org No.): 2001329421

pISSN: 2651-477X

inner-MP inverse

gMP inverse

core–EP inverse

generalized Drazin inverse

Sayı

Yazarlar:

Dunja Stojanovic | Dijana Mosic

Yayıncı:

Hacettepe University

Ana Başlıklar:

Operator Algebras and Functional Analysis

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.53 Issue 5, pp.1312-1325

Belge Tipi:

Makale

Yayın Tarihi:

10/2024

Belge Dili:

İngilizce

Document ID (Org No.):

2001329421

pISSN:

2651-477X