Minghua Lin

activity

20102022

most citedRefinements of the trace inequality of Belmega, Lasaulce and Debbah

20 citations · 79 across the 25 of their papers we have counts for

collaborators

Showing math.FAShow all

19 papers · 1 filter

math.FA2020★ 7 cited

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…

math.FA2017

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…

math.FA2016★ 1 cited

New properties for certain positive semidefinite matrices

Minghua Lin

We bring in some new notions associated with $2 \times 2$ block positive semidefinite matrices. These notions concern the inequalities between the singular values of the off diagona…

math.FA2016

On Drury's solution of Bhatia \& Kittaneh's question

Minghua Lin

Let $A, B$ be $n \times n$ positive semidefinite matrices. Bhatia and Kittaneh asked whether it is true $σ_{j} (A B) \leq \frac{1}{2} λ_{j} (A + B), j = 1, \dots, n$ where $σ_j…

math.FA2014

Determinantal inequalities for block triangular matrices

Minghua Lin

Let $T = [X 0 Y Z]$ be an $n$ -square matrix, where $X, Z$ are $r$ -square and $(n - r)$ -square, respectively. Among other determinantal inequalities, it…

math.FA2014

Extension of a result of Haynsworth and Hartfiel

Minghua Lin

About last 70s, Haynsworth [6] used a result of the Schur complement to refine a determinant inequality for positive definite matrices. Haynsworth's result was improved by Hartfiel…