Add to ORKGA 2-monomial matrix over a commutative ring $R$ is by definition any matrix of the form $M(t,k,n)=\Phi\left(\begin{smallmatrix}I_k&0\\0&tI_{n-k}\end{smallmatrix}\right)$, $0<k<n$, where $t$ is a non-invertible element of $R$, $\Phi$ the compa\-nion matrix to $\lambda^n-1$ and $I_k$ the identity $k\times k$-matrix. In this paper we introduce the notion of hereditary reducibility (for these matrices) and indicate one general condition of the introduced reducibility
A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use ...
The purpose of this paper is to establish a Cohen type inequality for Fourier expansion with respe...
AbstractWe give the necessary and sufficient condition of the trace function f(A,B)=Tr(ApBq) is join...
In this paper we introduce the notion of hereditary reducibility for some matrices and indicate one ...
AbstractWe clarify a difficulty that appears in [R. Quarez, J. Algebra 238 (2001) 139] to bound the ...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractWe introduce a class SN of matrices whose elements are terms of convolutions of binomial fun...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
Let K0 be a totally real algebraic number field. We consider an n-dimensional algebraic extension K ...
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...
By introducing multi-parameters and conjugate exponents and using Euler-Maclaurin’s summation formul...
By introducing multi-parameters and conjugate exponents and using Euler-Maclaurin’s summation formul...
AbstractWrite μ(A)=μ1(A)⩾⋯⩾μmin(A) for the eigenvalues of a Hermitian matrix A. Our main result is:L...
AbstractLet n=(n1,…,nk) be a multiindex and κ(n̲)=∏j=1knj. We say that n→∞ if ni→∞, 1⩽i⩽k. If r=(r1,...
A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use ...
The purpose of this paper is to establish a Cohen type inequality for Fourier expansion with respe...
AbstractWe give the necessary and sufficient condition of the trace function f(A,B)=Tr(ApBq) is join...
In this paper we introduce the notion of hereditary reducibility for some matrices and indicate one ...
AbstractWe clarify a difficulty that appears in [R. Quarez, J. Algebra 238 (2001) 139] to bound the ...
AbstractA block companion matrix over a field of characteristic 0 is similar to a unique block unit ...
AbstractWe introduce a class SN of matrices whose elements are terms of convolutions of binomial fun...
AbstractLet Mn be the space of all n×n complex matrices, and let Γn be the subset of Mn consisting o...
Let K0 be a totally real algebraic number field. We consider an n-dimensional algebraic extension K ...
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...
By introducing multi-parameters and conjugate exponents and using Euler-Maclaurin’s summation formul...
By introducing multi-parameters and conjugate exponents and using Euler-Maclaurin’s summation formul...
AbstractWrite μ(A)=μ1(A)⩾⋯⩾μmin(A) for the eigenvalues of a Hermitian matrix A. Our main result is:L...
AbstractLet n=(n1,…,nk) be a multiindex and κ(n̲)=∏j=1knj. We say that n→∞ if ni→∞, 1⩽i⩽k. If r=(r1,...
A closed expression to the Baker-Campbell-Hausdorff (B-C-H) formula in SO(4) is given by making use ...
The purpose of this paper is to establish a Cohen type inequality for Fourier expansion with respe...
AbstractWe give the necessary and sufficient condition of the trace function f(A,B)=Tr(ApBq) is join...