On linear maps preserving g-majorization from to .
On linear operators strongly preserving invariants of Boolean matrices
Let be the general Boolean algebra and a linear operator on . If for any in (, respectively), is regular (invertible, respectively) if and only if is regular (invertible, respectively), then is said to strongly preserve regular (invertible, respectively) matrices. In this paper, we will give complete characterizations of the linear operators that strongly preserve regular (invertible, respectively) matrices over . Meanwhile, noting that a general Boolean algebra is isomorphic...
On matrices having an invariant cone
On matrices with all minors negative.
On means of positive definite matrices
On minimal rank over finite fields.
On Nilpotent Subsemigroups in some Matrix Semigroups
2000 Mathematics Subject Classification: 20M20, 20M10.We describe maximal nilpotent subsemigroups of a given nilpotency class in the semigroup Ωn of all n × n real matrices with non-negative coefficients and the semigroup Dn of all doubly stochastic real matrices.
On nonnegative matrices with given row and column sums.
On nonnegative operators and fully cyclic peripheral spectrum.
On nonnegative sign equivalent and sign similar factorizations of matrices.
On orderings induced by the Loewner partial ordering
The partial ordering induced by the Loewner partial ordering on the convex cone comprising all matrices which multiplied by a given positive definite matrix become nonnegative definite is considered. Its relation to orderings which are induced by the Loewner partial ordering of the squares of matrices is presented. Some extensions of the latter orderings and their comparison to star orderings are given.
On permutation symmetries of Hopfield model neural network.
On polynomial matrices.
On powers of non-negative matrices
On Powers of Non-Negative Matrices
On properties of quadratic matrices.
On R. Chapman's "evil determinant": case p ≡ 1 (mod 4)
For p ≡ 1 (mod 4), we prove the formula (conjectured by R. Chapman) for the determinant of the (p+1)/2 × (p+1)/2 matrix with .
On rank subtractivity between normal matrices.
On rings with zero divisors. Strong -groups
On Schur-Ostrowski type theorems for group majorizations.