1 citations · 1 across the 9 of their papers we have counts for
10 papers
Color Image Set Recognition Based on Quaternionic Grassmannians
Xiang Xiang Wang, Tin-Yau Tam
We propose a new method for recognizing color image sets using quaternionic Grassmannians, which use the power of quaternions to capture color information and represent each color…
New Weighted Spectral Geometric Mean and Quantum Divergence
Miran Jeong, Sejong Kim, Tin-Yau Tam
A new class of weighted spectral geometric means has recently been introduced. In this paper, we present its inequalities in terms of the Löwner order, operator norm, and trace. Mo…
Geometric Properties and Distance Inequalities on Grassmannians
Tin-Yau Tam, Xiang Xiang Wang
In this paper we obtain inequalities for the geometric mean of elements in the Grassmannians. These inequalities reflect the elliptic geometry of the Grassmannians as Riemannian ma…
Extensions of Yamamoto-Nayak's Theorem
Huajun Huang, Tin-Yau Tam
A result of Nayak asserts that exists for each complex matrix , where , and the limit is given in terms…
Inequalities and limits of weighted spectral geometric mean
Luyining Gan, Tin-Yau Tam
We establish some new properties of spectral geometric mean. In particular, we prove a log majorization relation between and the $t…
On two geometric means and sum of adjoint orbits
Luyining Gan, Xuhua Liu, Tin-Yau Tam
In this paper, we study the metric geometric mean introduced by Pusz and Woronowicz and the spectral geometric mean introduced by Fiedler and Pták, originally for positive definite…
Curvature of matrix and reductive Lie groups
Luyining Gan, Ming Liao, Tin-Yau Tam
In this paper, we give a simple formula for sectional curvatures on the general linear group, which is also valid for many other matrix groups. Similar formula is given for a reduc…
On the existence of group inverses of Peirce corner matrices
Daochang Zhang, Dijana Mosic, Tin-Yau Tam
We give some statements that are equivalent to the existence of group inverses of Peirce corner matrices of a block matrix and its generalized Schur complements. As ap…
Weak log majorization and determinantal inequalities
Tin-Yau Tam, Pingping Zhang
Denote by the set of positive definite matrices. Let , where with . P…
Determinants and Inverses of Circulant Matrices with Jacobsthal and Jacobsthal-Lucas Numbers
Durmuş Bozkurt, Tin-Yau Tam
Let n\geq3 and J_{n}:=circ(J_{1},J_{2},...,J_{n}) and j_{n}:=\circ(j_{0},j_{1},...,j_{n-1}) be the n\timesn circulant matrices, associated with the nth Jacobsthal number J_{n} and…