Add to ORKGsummary:Let $ A_1, A_2,\cdots , A_n $ be complex matrices of the same size. We show in this note that the Moore-Penrose inverse, the Drazin inverse and the weighted Moore-Penrose inverse of the sum $ \sum _{t=1}^{n} A_t$ can all be determined by the block circulant matrix generated by $ A_1, A_2, \cdots , A_n$. In addition, some equalities are also presented for the Moore-Penrose inverse and the Drazin inverse of a quaternionic matrix
In a recent paper, Guo, Mez?o, and Qi proved an identity representing the Bernoulli polynomials at ...
AbstractWe clarify a difficulty that appears in [R. Quarez, J. Algebra 238 (2001) 139] to bound the ...
This lecture note surveys the gamma matrices in general dimensions with arbitrary signatures, the st...
summary:Let $ A_1, A_2,\cdots , A_n $ be complex matrices of the same size. We show in this note tha...
AbstractIn this paper, using a minimum principle for Schur complements of positive semidefinite Herm...
AbstractIn this paper we present several new characterizations of normal and Hermitian elements in r...
AbstractTwo proofs are given of the Gohberg–Heinig formula for the inverse of a Toeplitz matrix with...
AbstractIn this short note, it is proved that given any positive definite Hermitian matrix, the eige...
In this paper, we consider the product of matrices $PAQ$, where $A$ is von Neumann regular and there...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
summary:In this paper we extend the notion of $n$-weak amenability of a Banach algebra $\mathcal A$...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
AbstractIn this paper, we give a generalization of a determinantal identity posed by Charles R. John...
In a recent paper, Guo, Mez?o, and Qi proved an identity representing the Bernoulli polynomials at ...
AbstractWe clarify a difficulty that appears in [R. Quarez, J. Algebra 238 (2001) 139] to bound the ...
This lecture note surveys the gamma matrices in general dimensions with arbitrary signatures, the st...
summary:Let $ A_1, A_2,\cdots , A_n $ be complex matrices of the same size. We show in this note tha...
AbstractIn this paper, using a minimum principle for Schur complements of positive semidefinite Herm...
AbstractIn this paper we present several new characterizations of normal and Hermitian elements in r...
AbstractTwo proofs are given of the Gohberg–Heinig formula for the inverse of a Toeplitz matrix with...
AbstractIn this short note, it is proved that given any positive definite Hermitian matrix, the eige...
In this paper, we consider the product of matrices $PAQ$, where $A$ is von Neumann regular and there...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
We give a very short proof of the main result of J. Benitez, A new decomposition for square matrices...
summary:A lattice ordered group valued subadditive measure is extended from an algebra of subsets of...
summary:In this paper we extend the notion of $n$-weak amenability of a Banach algebra $\mathcal A$...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
AbstractIn this paper, we give a generalization of a determinantal identity posed by Charles R. John...
In a recent paper, Guo, Mez?o, and Qi proved an identity representing the Bernoulli polynomials at ...
AbstractWe clarify a difficulty that appears in [R. Quarez, J. Algebra 238 (2001) 139] to bound the ...
This lecture note surveys the gamma matrices in general dimensions with arbitrary signatures, the st...