AbstractThe interaction between an involution (.)∗ and the core-nilpotent decomposition of a square matrix is investigated and used to derive a weighted ∗-core-nilpotent decomposition. This generalizes a decomposition by Gabriel and may be used to induce a newtype of pseudoinverse, which includes the Gabriel inverse as a special case
New characterizations for generalized inverses along the core parts of three matrix decompositions w...
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
Let X(dagger) denotes the Moore-Penrose pseudoinverse of a matrix X. We study a number of situations...
AbstractThe interaction between an involution (.)∗ and the core-nilpotent decomposition of a square ...
In this paper, we introduce new representation and characterization of the weighted core inverse of ...
The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1....
In this paper, we present a new characterization of the weighted core-EP inverse of a rectangu...
AbstractGiven a square matrix A of order n, let a sequence of numbers P1, P2,…, and a sequence of ma...
AbstractLet R be a commutative ring with 1 and with an involution a → ā, and let MR be the category ...
[EN] n this paper, we introduce two new generalized inverses of matrices, namely, the -core inverse ...
In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
AbstractThe existence and construction of the Drazin inverse of a square matrix over the ring Zh is ...
Let R be a unital -ring. In this paper, we give several characterizations for the pseudo core and du...
New characterizations for generalized inverses along the core parts of three matrix decompositions w...
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
Let X(dagger) denotes the Moore-Penrose pseudoinverse of a matrix X. We study a number of situations...
AbstractThe interaction between an involution (.)∗ and the core-nilpotent decomposition of a square ...
In this paper, we introduce new representation and characterization of the weighted core inverse of ...
The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1....
In this paper, we present a new characterization of the weighted core-EP inverse of a rectangu...
AbstractGiven a square matrix A of order n, let a sequence of numbers P1, P2,…, and a sequence of ma...
AbstractLet R be a commutative ring with 1 and with an involution a → ā, and let MR be the category ...
[EN] n this paper, we introduce two new generalized inverses of matrices, namely, the -core inverse ...
In this paper, we revise the core EP inverse of a square matrix introduced by Prasad and Mohana in [...
This is the first paper of a two-long series in which we study linear generalized inverses that mini...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
AbstractThe existence and construction of the Drazin inverse of a square matrix over the ring Zh is ...
Let R be a unital -ring. In this paper, we give several characterizations for the pseudo core and du...
New characterizations for generalized inverses along the core parts of three matrix decompositions w...
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
Let X(dagger) denotes the Moore-Penrose pseudoinverse of a matrix X. We study a number of situations...