A 1-norm bound for inverses of triangular matrices with monotone entries.
A basic decomposition result related to the notion of the rank of a matrix and applications.
A basis of the conjunctively polynomial-like Boolean functions.
A basis of the set of sequences satisfying a given m-th order linear recurrence.
A Bound Connected with Primitive Matrices.
A bound for the Moore-Penrose pseudoinverse of a matrix
A bound for the rank-one transient of inhomogeneous matrix products in special case
We consider inhomogeneous matrix products over max-plus algebra, where the matrices in the product satisfy certain assumptions under which the matrix products of sufficient length are rank-one, as it was shown in [6] (Shue, Anderson, Dey 1998). We establish a bound on the transient after which any product of matrices whose length exceeds that bound becomes rank-one.
A bound for the spectral variation of two matrices.
A boundary-value problem for linear PDAEs
We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil[A,-λ_n B]. A new theorem is proved and two illustrative examples are given.
A Brauer’s theorem and related results
Given a square matrix A, a Brauer’s theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75–91] shows how to modify one single eigenvalue of A via a rank-one perturbation without changing any of the remaining eigenvalues. Older and newer results can be considered in the framework of the above theorem. In this paper, we present its application to stabilization of control systems, including the case when the system...
A Bruhat order for the class of -matrices with row sum vector and column sum vector .
A canonical directly infinite ring
Let be the set of nonnegative integers and the ring of integers. Let be the ring of matrices over generated by the following two matrices: one obtained from the identity matrix by shifting the ones one position to the right and the other one position down. This ring plays an important role in the study of directly finite rings. Calculation of invertible and idempotent elements of yields that the subrings generated by them coincide. This subring is the sum of the ideal consisting of...
A center of a polytope: An expository review and a parallel implementation.
A characterization of derivations by functional equations.
A characterization of evolutionarily stable strategies.
A characterization of isoparametric hypersurfaces of Clifford type.
A characterization of strong regularity of interval matrices.
A characterization of the norm of an Azumaya algebra of constant rank through the divided powers algebra of an algebra
A class of Cardinal Lacunary interpolation problems by spline functions.
A class of inverse -matrices.