Some considerations of matrix equations using the concept of reproductivity
Some Examples of Rigid Representations
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give necessary and sufficient conditions for the choice of the conjugacy classes Cj ⊂ GL(n,C) (resp. cj ⊂ gl(n,C)) so that there exist irreducible (p+1)-tuples of matrices Mj ∈ Cj (resp. Aj ∈ cj) satisfying the equality M1 . . .Mp+1 = I (resp. A1+. . .+Ap+1 = 0). The matrices Mj and Aj are interpreted as monodromy operators and as matrices-residua of fuchsian systems on Riemann’s sphere. We give new examples...
Some Fixed Point Theorems in Boolean Algebra
Some remarks on the solutions of the equality per. (Einige Bemerkungen über die Lösungen der Gleichung per.)
SPR0 substitutions and families of algebraic Riccati equations
We study in this paper Algebraic Riccati Equations associated with single-input single-output linear time-invariant systems bounded in -norm. Our study is focused in the characterization of families of Algebraic Riccati Equations in terms of strictly positive real (of zero relative degree) substitutions applied to the associated -norm bounded system, each substitution characterizing then a particular member of the family. We also consider here Algebraic Riccati Equations associated with systems...
Stable matrices, the Cayley transform, and convergent matrices.
Sulle trasformazioni finite dei gruppi delle rotazioni.
Symmetric matrix polynomial equations
Systems of four equations with a matrix application in a finite field
The algebraic Riccati equation with Toeplitz matrices as coefficients.
The Cayley transform of Banach algebras.
The Chebyshev Solution of Certain Matrix Equations.
The Chebyshev Solution of the Linear Matrix Equation AX + YB = C.
The equation and the dimension of *congruence orbits.
The extremal ranks of subject to a pair of matrix equations
The general Hermitian nonnegative-definite solution to the matrix equation .
The Hurwitz Matrix Equations and Multifour Groups.
The matrix equation and related problems.
The maximal and minimal ranks of with applications.
The multiplicative matrix commutator equation (A,X)=B