AbstractLet A be a matrix over a ring. Suppose that P, Q, P′, and Q′ are matrices over the ring such that P′PA=A=AQQ′. If A has group inverse A#, then PAQ has a group inverse iff AA#QPA+1−AA#is invertible. An analogous result for Moore-Penrose inverses is also given
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an ele...
Characterizations are given for elements in an arbitrary ring with involution, having a group invers...
AbstractLet A be a matrix over a ring. Suppose that P, Q, P′, and Q′ are matrices over the ring such...
Let R be a commutative ring with 1 and with an involution a → ā, and let MR be the category of finit...
Necessary and sufficient conditions are given for the Moore-Penrose inverse of a com-panion matrix o...
AbstractLet R be a commutative ring with 1 and with an involution a → ā, and let MR be the category ...
Necessary and sufficient conditions are given in order that a von Neumann regular matrix over an arb...
Moore-Penrose Inverse introduced on the set of matrix. All of singular matrix’s elements have Moore-...
Given an m-by-n matrix over a semi-simple Artinian ring with an involutory automorphism, necessary a...
In this paper, we consider the product of matrices PAQ, where A is von Neumann regular and there exi...
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
AbstractIn this paper, we consider the product of matrices PAQ, where A is von Neumann regular and t...
In this paper, we give necessary and sufficient conditions for the matrix $\mxl{cc}a&0\\b&d\mxr$, o...
AbstractNonnegative matrices with the property that the group inverse of the matrixis equal to a pow...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an ele...
Characterizations are given for elements in an arbitrary ring with involution, having a group invers...
AbstractLet A be a matrix over a ring. Suppose that P, Q, P′, and Q′ are matrices over the ring such...
Let R be a commutative ring with 1 and with an involution a → ā, and let MR be the category of finit...
Necessary and sufficient conditions are given for the Moore-Penrose inverse of a com-panion matrix o...
AbstractLet R be a commutative ring with 1 and with an involution a → ā, and let MR be the category ...
Necessary and sufficient conditions are given in order that a von Neumann regular matrix over an arb...
Moore-Penrose Inverse introduced on the set of matrix. All of singular matrix’s elements have Moore-...
Given an m-by-n matrix over a semi-simple Artinian ring with an involutory automorphism, necessary a...
In this paper, we consider the product of matrices PAQ, where A is von Neumann regular and there exi...
Our result in "The Moore–Penrose inverse of a matrix over a semi-simple artinian ring", obtained wit...
AbstractIn this paper, we consider the product of matrices PAQ, where A is von Neumann regular and t...
In this paper, we give necessary and sufficient conditions for the matrix $\mxl{cc}a&0\\b&d\mxr$, o...
AbstractNonnegative matrices with the property that the group inverse of the matrixis equal to a pow...
AbstractThe defining equations for the Moore-Penrose inverse of a matrix are extended to give a uniq...
We give necessary and sufficient conditions for the existence of the Moore-Penrose inverse of an ele...
Characterizations are given for elements in an arbitrary ring with involution, having a group invers...
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