N. Tsing

collaborators

2 papers

math.FA2016

Convexity and Star-shapedness of Real Linear Images of Special Orthogonal Orbits

Pan-Shun Lau, Tuen-Wai Ng, Nam-Kiu Tsing

Let $A \in R^{N \times N}$ and $SO_{n} := {U \in R^{N \times N} : U U^{t} = I_{n}, det U > 0}$ be the set of $n \times n$ special orthogonal matrices. Define the (real)…

math.FA2016

The star-shapedness of a generalized numerical range

Pan-Shun Lau, Tuen-Wai Ng, Nam-Kiu Tsing

Let $H_{n}$ be the set of all $n \times n$ Hermitian matrices and $H_{n}^{m}$ be the set of all $m$ -tuples of $n \times n$ Hermitian matrices. For $A=(A_1,...,A_m)\in \…