AbstractThe cofactor expression (− 1)i+jdet(I − B)ĵîdet(I − B) for the (i, j)-entry in the inverse of a matrix (I − B) is proved to be equal to the corresponding entry of the series Σm≥0Bm, by using purely combinatorial methods: circuit monoid techniques and monomial rearrangements. Moreover, the identity is shown to hold in a non-commutative formal power series algebra
The matrix RSLPFLcircfr is a particular form of the circular matrix RSLPFLcircfr . This study aims ...
Given a matrix A is an element of C-nxn there exists a nonsingular matrix V such that V-1 AV = J, wh...
A solution to the problem of a closed-form representation for the inverse of a matrix polynomial abo...
AbstractWe give a combinatorial proof of Jacobi's equality relating a cofactor of a matrix with the ...
International audienceWe give a new combinatorial interpretation of the noncommutative Lagrange inve...
In this paper, two related commutator identities are established through the use of the Magnus Algeb...
This paper describes a generalization of the inverse of a non-singular matrix, as the unique solutio...
We present here the necessary and sufficient conditions for the invertibility of tridiagonal matrice...
Heinig and Tewodros [18] give a set of components whose existence provides a necessary and sufficien...
I. Introduction. In this paper, two related commutator identities are established through the use of...
AbstractWe present an inversion algorithm for nonsingular n×n matrices whose entries are degree d po...
33 pagesThe subject of this paper are two Hopf algebras which are the non-commutative analogues of t...
AbstractHeinig and Tewodors [18] give a set of components whose existence provides a necessary and s...
Matrix and operator inversion has always presented a problem both in algebra and in analysis. We kno...
We study a class of matrices with noncommutative entries, which were first considered by Yu. I. Mani...
The matrix RSLPFLcircfr is a particular form of the circular matrix RSLPFLcircfr . This study aims ...
Given a matrix A is an element of C-nxn there exists a nonsingular matrix V such that V-1 AV = J, wh...
A solution to the problem of a closed-form representation for the inverse of a matrix polynomial abo...
AbstractWe give a combinatorial proof of Jacobi's equality relating a cofactor of a matrix with the ...
International audienceWe give a new combinatorial interpretation of the noncommutative Lagrange inve...
In this paper, two related commutator identities are established through the use of the Magnus Algeb...
This paper describes a generalization of the inverse of a non-singular matrix, as the unique solutio...
We present here the necessary and sufficient conditions for the invertibility of tridiagonal matrice...
Heinig and Tewodros [18] give a set of components whose existence provides a necessary and sufficien...
I. Introduction. In this paper, two related commutator identities are established through the use of...
AbstractWe present an inversion algorithm for nonsingular n×n matrices whose entries are degree d po...
33 pagesThe subject of this paper are two Hopf algebras which are the non-commutative analogues of t...
AbstractHeinig and Tewodors [18] give a set of components whose existence provides a necessary and s...
Matrix and operator inversion has always presented a problem both in algebra and in analysis. We kno...
We study a class of matrices with noncommutative entries, which were first considered by Yu. I. Mani...
The matrix RSLPFLcircfr is a particular form of the circular matrix RSLPFLcircfr . This study aims ...
Given a matrix A is an element of C-nxn there exists a nonsingular matrix V such that V-1 AV = J, wh...
A solution to the problem of a closed-form representation for the inverse of a matrix polynomial abo...
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