Periodické distribuce a diskrétní Fourierova transformace
Permutation matrices and matrix equivalence over a finite field.
Perturbation analysis for the complex matrix equation .
Polynomial identities for hyper-matrices.
Polynomial operations: Numerical performance in matrix diophantine equation
Polynomials of the eigenvalues and powers of matrices
Positive definite solution of the matrix equation .
Positive definite solution of two kinds of nonlinear matrix equations.
Proving matrix equations.
Ranked solutions of the matric equation .
Ranks and independence of solutions of the matrix equation .
Regular polygons
Remarks on inertia theorems for matrices
Remarks on the rows and columns of in the matrix equation
Remarks on the Sherman-Morrison-Woodbury formulae
We present some results on generalized inverses and their application to generalizations of the Sherman-Morrison-Woodbury-type formulae.
Representations for the Drazin inverse of bounded operators on Banach space.
Simultaneous solutions of operator Sylvester equations
We consider simultaneous solutions of operator Sylvester equations (1 ≤ i ≤ k), where and are commuting k-tuples of bounded linear operators on Banach spaces and ℱ, respectively, and is a (compatible) k-tuple of bounded linear operators from ℱ to , and prove that if the joint Taylor spectra of and do not intersect, then this system of Sylvester equations has a unique simultaneous solution.
Singular bilateral boundary value problems for discrete generalized Lyapunov matrix equations.
Existence and uniqueness conditions for solving singular initial and two-point boundary value problems for discrete generalized Lyapunov matrix equations and explicit expressions of solutions are given.
Solution of linear matrix equations in a *congruence class.
Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension.