Add to ORKGIn 1959 Edgar Asplund presented a geometric lemma that largely anticipated many results on the structure of inverses of band matrices. In this note we discuss an extension of Asplund's lemma that addresses the concept of generalized inverse,in particular the Moore-Penrose inverse
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
The introductory chapters in this paper review the concept of a generalized inverse for arbitrary ma...
In 1959 Edgar Asplund presented a geometric lemma that largely anticipated many results on the struc...
Fredholm’s method to solve a particular integral equation in 1903, was probably the first written wo...
This study is a survey of the theory of the generalized-inverses of matrices as defined by Penrose. ...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
The idea of defining the generalized band matrices is based on the recognition that several pattern ...
The main result of the paper is: AB+A=A and BA+B=B ⇒ A=B where A+ and B+ are the unique Moore-...
In an earlier paper one of the authors showed that a matrix of rank r over an integral domain has a ...
AbstractIn an earlier paper one of the authors showed that a matrix of rank r over an integral domai...
AbstractStructural properties of the inverses of band matrices are discussed. The definition of semi...
Structural properties of the inverses of band matrices are discussed. The definition of semiseparabl...
AbstractAn expression for the Moore-Penrose inverse of certain singular circulants by S.R. Searle is...
International audienceUsing a unified approach, simple derivations for the recursive determination o...
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
The introductory chapters in this paper review the concept of a generalized inverse for arbitrary ma...
In 1959 Edgar Asplund presented a geometric lemma that largely anticipated many results on the struc...
Fredholm’s method to solve a particular integral equation in 1903, was probably the first written wo...
This study is a survey of the theory of the generalized-inverses of matrices as defined by Penrose. ...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
The idea of defining the generalized band matrices is based on the recognition that several pattern ...
The main result of the paper is: AB+A=A and BA+B=B ⇒ A=B where A+ and B+ are the unique Moore-...
In an earlier paper one of the authors showed that a matrix of rank r over an integral domain has a ...
AbstractIn an earlier paper one of the authors showed that a matrix of rank r over an integral domai...
AbstractStructural properties of the inverses of band matrices are discussed. The definition of semi...
Structural properties of the inverses of band matrices are discussed. The definition of semiseparabl...
AbstractAn expression for the Moore-Penrose inverse of certain singular circulants by S.R. Searle is...
International audienceUsing a unified approach, simple derivations for the recursive determination o...
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
AbstractThe generalized inverse or Moore-Penrose-inverse of a real m × n matrix A is known to be the...
The introductory chapters in this paper review the concept of a generalized inverse for arbitrary ma...