20 citations · 79 across the 25 of their papers we have counts for
25 papers
Proof of Sendov's conjecture
Stephen Drury, Minghua Lin
Sendov's conjecture, which was first introduced in the last 50s, asserts that if all the zeros of a polynomial lie in the closed unit disk then for each zero there must be a cr…
Revisiting a sharpened version of Hadamard's determinant inequality
Minghua Lin, Gord Sinnamon
Hadamard's determinant inequality was refined and generalized by Zhang and Yang in [Acta Math. Appl. Sinica 20 (1997) 269-274]. Some special cases of the result were rediscovered r…
An extension of Harnack type determinantal inequality
Minghua Lin, Fuzhen Zhang
We revisit and comment on the Harnack type determinantal inequality for contractive matrices obtained by Tung in the nineteen sixtieth and give an extension of the inequality invol…
Power majorization between the roots of two polynomials
Minghua Lin, Gord Sinnamon
It is shown that if two hyperbolic polynomials have a particular factorization into quadratics, then their roots satisfy a power majorization relation whenever key coefficients in…
New properties for certain positive semidefinite matrices
Minghua Lin
We bring in some new notions associated with block positive semidefinite matrices. These notions concern the inequalities between the singular values of the off diagona…
On a determinantal inequality arising from diffusion tensor imaging
Minghua Lin
In comparing geodesics induced by different metrics, Audenaert formulated the following determinantal inequality where are po…