Singular value decomposition normally estimated Geršgorin sets.
Singular value inequality and graph energy change.
is not boundedly generated by elementary matrices: explicit proof.
Sliding mode control of uncertain neutral stochastic systems with multiple delays.
Smallest singular value of sparse random matrices
We extend probability estimates on the smallest singular value of random matrices with independent entries to a class of sparse random matrices. We show that one can relax a previously used condition of uniform boundedness of the variances from below. This allows us to consider matrices with null entries or, more generally, with entries having small variances. Our results do not assume identical distribution of the entries of a random matrix and help to clarify the role of the variances of the entries....
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.
Solutions of minus partial ordering equations over von Neumann regular rings
In this paper, we mainly derive the general solutions of two systems of minus partial ordering equations over von Neumann regular rings. Meanwhile, some special cases are correspondingly presented. As applications, we give some necessary and sufficient conditions for the existence of solutions. It can be seen that some known results can be regarded as the special cases of this paper.
Solvability classes for core problems in matrix total least squares minimization
Linear matrix approximation problems are often solved by the total least squares minimization (TLS). Unfortunately, the TLS solution may not exist in general. The so-called core problem theory brought an insight into this effect. Moreover, it simplified the solvability analysis if is of column rank one by extracting a core problem having always a unique TLS solution. However, if the rank of is larger, the core problem may stay unsolvable in the TLS sense, as shown for the first time by Hnětynková,...
Solvability of infinite systems of linear equations
Solving a family of permutation problems on 0-1 matrices
Solving Confluent Vandermonde Systems of Hermite Type.