AbstractIn this paper, we characterize an associative ring over which any n×n(n⩾2) square matrix A can be written as LUM, where L,M are lower triangular, U is upper triangular and L and U have all their diagonal entries 1
AbstractThis work initiates a systematic investigation into the matrix forms of the Pascal triangle ...
AbstractSuppose m, n, and k are positive integers, and let 〈·,·〉 be the standard inner product on th...
AbstractThis note answers positively a question raised by B. Bojanov and G. Petrova. Namely, the Gau...
AbstractSourour [A.R. Sourour, A factorization theorem for matrices, Linear and Multilinear Algebra ...
AbstractLet R be a local ring and M a free module of a finite rank over R. An element τ∈AutRM is sai...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractWrite μ(A)=μ1(A)⩾⋯⩾μmin(A) for the eigenvalues of a Hermitian matrix A. Our main result is:L...
AbstractWe consider the function f(t) defined byf(t)=tlogt−t+1log2t.Firstly we shall show direct and...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
AbstractWe say that a matrix R∈Cn×n is k-involutory if its minimal polynomial is xk-1 for some k⩾2, ...
AbstractLet L(Bk) be the Laplacian matrix of an unweighted balanced binary tree Bk of k levels. We p...
A 2-monomial matrix over a commutative ring $R$ is by definition any matrix of the form $M(t,k,n)=\P...
By Jordan decomposition, we shall see that a bounded completely additive linear form on a von Neuman...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
AbstractThis work initiates a systematic investigation into the matrix forms of the Pascal triangle ...
AbstractSuppose m, n, and k are positive integers, and let 〈·,·〉 be the standard inner product on th...
AbstractThis note answers positively a question raised by B. Bojanov and G. Petrova. Namely, the Gau...
AbstractSourour [A.R. Sourour, A factorization theorem for matrices, Linear and Multilinear Algebra ...
AbstractLet R be a local ring and M a free module of a finite rank over R. An element τ∈AutRM is sai...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractWrite μ(A)=μ1(A)⩾⋯⩾μmin(A) for the eigenvalues of a Hermitian matrix A. Our main result is:L...
AbstractWe consider the function f(t) defined byf(t)=tlogt−t+1log2t.Firstly we shall show direct and...
AbstractWe prove a conjecture of R. Chapman asserting that, for any prime p≡3(mod4), the determinant...
It is well known that each solution of the Toda lattice can be represented by a tridiagonal matrix J...
AbstractWe say that a matrix R∈Cn×n is k-involutory if its minimal polynomial is xk-1 for some k⩾2, ...
AbstractLet L(Bk) be the Laplacian matrix of an unweighted balanced binary tree Bk of k levels. We p...
A 2-monomial matrix over a commutative ring $R$ is by definition any matrix of the form $M(t,k,n)=\P...
By Jordan decomposition, we shall see that a bounded completely additive linear form on a von Neuman...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
AbstractThis work initiates a systematic investigation into the matrix forms of the Pascal triangle ...
AbstractSuppose m, n, and k are positive integers, and let 〈·,·〉 be the standard inner product on th...
AbstractThis note answers positively a question raised by B. Bojanov and G. Petrova. Namely, the Gau...
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