Computing tensor generalized inverses via specialization and rationalization

Stanimirović, Predrag S.; Sendra, J. Rafael; Behera, Ratikanta; Sahoo, Jajati Keshari; Mosić, Dijana; Lastra, Alberto

doi:10.1007/s13398-021-01057-9

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2022

2023

Publication Types

Select...

Article2

Other1

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The recent generalized inverses show new research trends that cover both theoretical and applied aspects. Some of the interesting applications of these generalized inverses can be found, for example, in [8,19,24,27]. Also, they play an important role in the study of matrix partial orders, as we can see in [5,6,18,30].…”

Section: Introductionmentioning

confidence: 91%

The $m$-weak core inverse

Ferreyra¹,

Malik²

2023

Preprint

View full text Add to dashboard Cite

Since the day the core inverse has been known in a paper of Bakasarly and Trenkler, it has been widely researched. So far, there are four generalizations of this inverse for the case of matrices of an arbitrary index, namely, the BT inverse, the DMP inverse, the core-EP inverse and the WC inverse. In this paper we introduce a new type of generalized inverse for a matrix of arbitrary index to be called m-weak core inverse which generalizes the core-EP inverse, the WC inverse, and therefore the core inverse. We study several properties and characterizations of the m-weak core inverse by using matrix decompositions.

show abstract