My research centers matrix analysis. I also consider its wide applications that are fundamentally connected to many parts of mathematics, both pure and applied. My recent focus is on the use of matrix theory to the analytic theory of polynomials. I am also a matrix inequality connoisseur.

Selected Recent Publications (A full list can be found in MathSciNet)

Minghua Lin, Mengyan Xie, Jiao Zhang, Remarks on circulant matrices and critical points of polynomials. J. Math. Anal. Appl. 502 (2021) 125233.

Minghua Lin, Gord Sinnamon, Power majorization between the roots of two polynomials. Houston J. Math. 44 (2018), no. 2, 607-612.

Minghua Lin, A norm inequality for positive block matrices. C. R. Math. Acad. Sci. Paris 356 (2018), no. 7, 818-822.

Minghua Lin, On some eigenvalue inequalities for Schatten-von Neumann operators. C. R. Math. Acad. Sci. Paris 356 (2018), no. 5, 517-522.

Minghua Lin, On a determinantal inequality arising from diffusion tensor imaging. Commun. Contemp. Math. 19 (2017), no. 5, 1650044, 6 pp.