Simultaneous Iteration for Computing Invariant Subspaces of Non-Hermitian Matrices.
Simultaneous solution of linear equations and inequalities in max-algebra
Let and for . Max-algebra is an analogue of linear algebra developed on the pair of operations extended to matrices and vectors. The system of equations and inequalities have each been studied in the literature. We consider a problem consisting of these two systems and present necessary and sufficient conditions for its solvability. We also develop a polynomial algorithm for solving max-linear program whose constraints are max-linear equations and inequalities.
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.
Sincere posets of finite prinjective type with three maximal elements and their sincere prinjective representations
Assume that K is an arbitrary field. Let (I,⪯) be a poset of finite prinjective type and let KI be the incidence K-algebra of I. A classification of all sincere posets of finite prinjective type with three maximal elements is given in Theorem 2.1. A complete list of such posets consisting of 90 diagrams is presented in Tables 2.2. Moreover, given any sincere poset I of finite prinjective type with three maximal elements, a complete set of pairwise non-isomorphic sincere indecomposable prinjective...
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.
Singular Generalised Autunomous Linear Differential Systems
Singular M-matrices which may not have a nonnegative generalized inverse
A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bt have ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative. In this article, we consider a generalization of a subclass of GM-matrices having a nonnegative core nilpotent decomposition and prove a characterization result for such matrices. Also, we study various notions of splitting of matrices from this new class and obtain sufficient conditions for their convergence....
Singular value decomposition normally estimated Geršgorin sets.
Singular value inequality and graph energy change.
Sliding mode control of uncertain neutral stochastic systems with multiple delays.
Smith forms of palindromic matrix polynomials.
Smith normal form of a matrix of generalized polynomials with rational exponents
It is proved that generalized polynomials with rational exponents over a commutative field form an elementary divisor ring; an algorithm for computing the Smith normal form is derived and implemented.
Smooth factorizations of matrix valued functions and their derivatives.
SO(2) invariants of a set of 2 x 2 matrices.
Sobre anillos de polinomios que son anillos de Bézout.
Soluble approximation of linear systems in max-plus algebra
We propose an efficient method for finding a Chebyshev-best soluble approximation to an insoluble system of linear equations over max-plus algebra.
Solution of linear matrix equations in a *congruence class.
Solution of system of linear equations with large coefficients in the diagonal
Solution of the problem of optimal diagonal scaling for quasi-real Hermitian positive-definite matrices.
Solution properties of linear descriptor (singular) matrix differential systems of higher order with (non-) consistent initial conditions.