New algorithms to compute the nearness symmetric solution of the matrix equation.

In this paper we consider the nearness symmetric solution of the matrix equation AXB = C to a given matrix [Formula: see text] in the sense of the Frobenius norm. By discussing equivalent form of the considered problem, we derive some necessary and sufficient conditions for the matrix [Formula: see text] is a solution of the considered problem. Based on the idea of the alternating variable minimization with multiplier method, we propose two iterative methods to compute the solution of the considered problem, and analyze the global convergence results of the proposed algorithms.

Survey of aflatoxin M1 in raw milk in the five provinces of China.

Aflatoxin M1 (AFM1) is the only mycotoxin that has a legal limit in milk all over the world. In the present study, 360 raw milk samples were collected from Beijing, Hebei, Shanxi, Shanghai and Guangdong provinces in China in September 2010, and their AFM1 levels were determined by using enzyme-linked immunosorbent assay (ELISA). More than three-fourths (78.