On some spectral characteristics of multiparameter polynomial matrices.
On spaces of matrices with a bounded number of eigenvalues.
On sparsity of approximate solutions to max-plus linear systems
When a system of one-sided max-plus linear equations is inconsistent, the approximate solutions within an admissible error bound may be desired instead, particularly with some sparsity property. It is demonstrated in this paper that obtaining the sparsest approximate solution within a given error bound may be transformed in polynomial time into the set covering problem, which is known to be NP-hard. Besides, the problem of obtaining the sparsest approximate solution within a given error bound...
On spectra of expansion graphs and matrix polynomials. II.
On spectra perturbation and elementary divisors of positive matrices.
On spectral properties of linear combinations of idempotents
Let P,Q be two linear idempotents on a Banach space. We show that the closedness of the range and complementarity of the kernel (range) of linear combinations of P and Q are independent of the choice of coefficients. This generalizes known results and shows that many spectral properties of linear combinations do not depend on their coefficients.
On spectral variations under bounded real matrix perturbations.
On spinor varieties and their secants.
On stability of parametrized families of polynomials and matrices.
On submultiplicative nonnegative functionals on linear maps of linear finitedimensional normed spaces
On sums of - matrices.
On sums of range symmetric matrices in Minkowski space.
On symmetric matrices with exactly one positive eigenvalue.
On systems of linear algebraic equations in the Colombeau algebra
From the fact that the unique solution of a homogeneous linear algebraic system is the trivial one we can obtain the existence of a solution of the nonhomogeneous system. Coefficients of the systems considered are elements of the Colombeau algebra of generalized real numbers. It is worth mentioning that the algebra is not a field.
On the 2-norm distance from a normal matrix to the set of matrices with a multiple zero eigenvalue.
On the algebraic properties of convex bodies and some applications.
On the Analogue of Koebe's Theorem for Functions with Values in a Clifford Algebra.
On the angles between certain arithmetically defined subspaces of
If and are two families of unitary bases for , and is a fixed number, let and be subspaces of spanned by vectors in and respectively. We study the angle between and as goes to infinity. We show that when and arise in certain arithmetically defined families, the angles between and may either tend to or be bounded away from zero, depending on the behavior of an associated eigenvalue problem.
On the approximation numbers of large Toeplitz matrices.
On the arguments of proper values of normal and unitary transformations