Observer-based deadbeat controllers: A polynomial design
On a new class of structured matrices related to the discrete skew-self-adjoint Dirac systems.
On best affine unbiased covariance-preserving prediction of factor scores.
This paper gives a generalization of results presented by ten Berge, Krijnen,Wansbeek & Shapiro. They examined procedures and results as proposed by Anderson & Rubin, McDonald, Green and Krijnen, Wansbeek & ten Berge.We shall consider the same matter, under weaker rank assumptions. We allow some moments, namely the variance Ω of the observable scores vector and that of the unique factors, Ψ, to be singular. We require T' Ψ T > 0, where T Λ T' is a Schur decomposition of Ω. As...
On (con)similarities and congruences between and , or .
On diagonalization by dynamic output feedback
On eliminating transformations for nuisance parameters in multivariate linear model
The multivariate linear model, in which the matrix of the first order parameters is divided into two matrices: to the matrix of the useful parameters and to the matrix of the nuisance parameters, is considered. We examine eliminating transformations which eliminate the nuisance parameters without loss of information on the useful parameters and on the variance components.
On matrices of cofactors - II
On matrix groups defined by certain polynomial identities
On polynomials in two projections.
On products of singular elements
On properties of quadratic matrices.
On Roth's pseudo equivalence over rings.
On solutions of a matrix equations system AX = B, XD = E
On solutions to the quaternion matrix equation .
On some algebraic identities and the exterior product of double forms
We use the exterior product of double forms to free from coordinates celebrated classical results of linear algebra about matrices and bilinear forms namely Cayley-Hamilton theorem, Laplace expansion of the determinant, Newton identities and Jacobi’s formula for the determinant. This coordinate free formalism is then used to easily generalize the previous results to higher multilinear forms namely to double forms. In particular, we show that the Cayley-Hamilton theorem once applied to the second...
On some Generalized Inverses of Matrices and some Linear Matrix Equations
On the Cayley transform of positivity classes of matrices.
On the construction of explicit solutions to the matrix equation .
On the Degree of the Minimal Polynomial of the Lyapunov Operator.
On the Eigenvalues of some Class of Pseudo-linear Transformations