NAJan 25, 2016
Bilinear characterizations of companion matricesMinghua Lin, Harald K. Wimmer
Companion matrices of the second type are characterized by properties that involve bilinear maps.
3 Papers
NADec 9, 2012
An upper bound for the determinant of a diagonally balanced symmetric matrixMinghua Lin
We prove a conjectured determinantal inequality: \frac{\det J}{\prod_{i=1}^nJ_{ii}}\le 2(1-\frac{1}{n-1})^{n-1}, where $J$ is a real $n\times n$ ($n\ge 2$) diagonally balanced symmetric matrix.
CAFeb 19, 2011
Convergence analysis of a Padé family of iterations for the matrix sector functionDmitry B. Karp, Minghua Lin
The main purpose of this paper is to give a solution to a conjecture concerning a Padé family of iterations for the matrix sector function that was recently raised by B. Laszkiewicz et al in [A Padé family of iterations for the matrix sector function and the matrix $p$th root, Numer. Linear Algebra Appl. 2009; 16:951-970]. Using a sharpened version Schwarz's lemma, we also demonstrate a strengthening of the conjecture.