activity
19962025
most citedCanonical forms, higher rank numerical range, convexity, totally isotropic subspace, matrix equations

84 citations · 657 across the 85 of their papers we have counts for

collaborators

87 papers

math.NA2025★ 59 cited

A Note on Eigenvalues of Perturbed Hermitian Matrices

Chi-Kwong Li, Ren-Cang Li

Let $$ A=\left(\begin{array}{cc} H_1 & E^*\\ E & H_2\end{array}\right) \quad \hbox{ and } \quad \wtd A=\left(\begin{array}{cc} H_1 & O\\ O & H_2\end{array}\right)$$ be two -by-$…

math.FA2023

Linear maps preserving parallel matrix pairs with respect to the Ky-Fan -norm

Bojan Kuzma, Chi-Kwong Li, Edward Poon +1

Two bounded linear operators and are parallel with respect to a norm if for some scalar with . Characterization is obtai…

quant-ph2023

A note on Majorana representation of quantum states

Chi-Kwong Li, Mikio Nakahara

By the Majorana representation, for any there is a one-one correspondence between a quantum state of dimension and qubits represented as points in the Bloch…

math.NA2023

On semidefinite programming characterizations of the numerical radius and its dual norm

Shmuel Friedland, Chi-Kwong Li

We state and give self contained proofs of semidefinite programming characterizations of the numerical radius and its dual norm for matrices. We show that the computation of the nu…

math.CO2023

Numerical ranges of cyclic shift matrices

Mao-Ting Chien, Steve Kirkland, Chi-Kwong Li +1

We study the numerical range of an cyclic shift matrix, which can be viewed as the adjacency matrix of a directed cycle with weighted arcs. In particular, we consid…

quant-ph2023

Unified Derivation of Uncertainty Relations and Their Saturation Conditions

Chi-Kwong Li, Mikio Nakahara

We analyze uncertainty relations due to Kennard, Robertson, Schrödinger, Maccone and Pati in a unified way from matrix theory point of view. Short proofs are given to these uncerta…