AbstractIt is easy to prove that if A is a real irreducible square matrix and if a real nonsingular diagonal matrix D exists such that AD is symmetric and positive semidefinite, then for any real diagonal matrix Y, AY has only real eigenvalues. This paper proves the converse result that if no such D exists, then for some Y, AY will possess some nonreal eigenvalues
Let k be a non-finite Dedekind domain, and σ be the ring of its integers. We shall assume that the r...
AbstractIn a recent paper by Engel and Schneider, it was asked if, for every n ⩾ 1, A ∈ τ<n> implies...
AbstractBounds are given for supinf∥Σpi=1νi∥, where sup is taken over all set systems V1,…, Vp of Rn...
AbstractWe give a simple proof of the Craig–Sakamoto theorem, which asserts that two real symmetric ...
AbstractWe give a necessary and a sufficient condition that the transfer function of an exponentiall...
AbstractLet A be a square matrix with real and positive eigenvalues λ1⩾ … ⩾ λn > 0, and let 1 ≤ k ≤ ...
AbstractDefine n× n matrices Dn = (dij) and Cn = (cij) by dij = 1 if i∣j, 0 otherwise and Cn = (0, 1...
AbstractWe give a short and elementary proof of the theorem which asserts that two real symmetric ma...
AbstractAnN × K (N ⩾ K) ambiguity resistant (AR) matrixG(z) is an irreducible polynomial matrix of s...
AbstractA new nonsingularity criterion for matrices is derived. It improves the Levy-Desplanques the...
AbstractThis paper discusses the spectral properties of the nonsymmetric saddle point matrices of th...
AbstractWe say that a square complex matrix is dominant if it has an algebraically simple eigenvalue...
AbstractWe solve the following problem proposed by Oliveira: Under what conditions does there exist ...
AbstractLetX be an invertiblen × n matrix,n > 1, with entries in some fieldK. AssumeX ≠ diag(a, … a)...
The controllability condition for finite dimensional quantum systems, the Lie Algebra Rank Condition...
Let k be a non-finite Dedekind domain, and σ be the ring of its integers. We shall assume that the r...
AbstractIn a recent paper by Engel and Schneider, it was asked if, for every n ⩾ 1, A ∈ τ<n> implies...
AbstractBounds are given for supinf∥Σpi=1νi∥, where sup is taken over all set systems V1,…, Vp of Rn...
AbstractWe give a simple proof of the Craig–Sakamoto theorem, which asserts that two real symmetric ...
AbstractWe give a necessary and a sufficient condition that the transfer function of an exponentiall...
AbstractLet A be a square matrix with real and positive eigenvalues λ1⩾ … ⩾ λn > 0, and let 1 ≤ k ≤ ...
AbstractDefine n× n matrices Dn = (dij) and Cn = (cij) by dij = 1 if i∣j, 0 otherwise and Cn = (0, 1...
AbstractWe give a short and elementary proof of the theorem which asserts that two real symmetric ma...
AbstractAnN × K (N ⩾ K) ambiguity resistant (AR) matrixG(z) is an irreducible polynomial matrix of s...
AbstractA new nonsingularity criterion for matrices is derived. It improves the Levy-Desplanques the...
AbstractThis paper discusses the spectral properties of the nonsymmetric saddle point matrices of th...
AbstractWe say that a square complex matrix is dominant if it has an algebraically simple eigenvalue...
AbstractWe solve the following problem proposed by Oliveira: Under what conditions does there exist ...
AbstractLetX be an invertiblen × n matrix,n > 1, with entries in some fieldK. AssumeX ≠ diag(a, … a)...
The controllability condition for finite dimensional quantum systems, the Lie Algebra Rank Condition...
Let k be a non-finite Dedekind domain, and σ be the ring of its integers. We shall assume that the r...
AbstractIn a recent paper by Engel and Schneider, it was asked if, for every n ⩾ 1, A ∈ τ<n> implies...
AbstractBounds are given for supinf∥Σpi=1νi∥, where sup is taken over all set systems V1,…, Vp of Rn...
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