found: Work cat: Duan, G. Generalized Sylvester equations, 2015:galley introduction (Sylvester matrix equations) chapter 2 (GSEs; used in applied mathematics, systems and control, and signal processing among other fields)
found: CRC concise encyclopedia of mathematics, 2003:(Sylvester matrix; for polynomials of degree m and n, the Sylvester matrix is an (m + n) x (m + n) matrix whose determinatnt is the resultant of the two polynomials)
found: Wikipedia, viewed October 18, 2014(under Sylvester equation: in mathematics, in the field of control theory, the Sylvester equation is a matrix equation of the form AX = XB = C where A, B, X, C are n x n matrices: A, B, C, are given and the problem is to find X; separate entry under Sylvester matrix: is a matrix associated to two univariate polynomials with coefficients in a field or a commutative ring. The entries of the Sylvester matrix of two polynomials are coefficients of the polynomials)
found: AMS society classification web page, viewed October 18, 2014(mention of Sylvester rings, etc. under Associative rings and algebras)