54 citations · 105 across the 27 of their papers we have counts for
7 papers · 1 filter
From Clarkson-McCarthy inequality to Ball-Carlen-Lieb inequality
Teng Zhang
In this paper, we give two new generalizations of Clarkson-McCarthy with several operators, which depends on the unitary orbit technique developed by Bourin, Hadamard Three-lines T…
Clarkson--McCarthy type inequalities, part I: -- and -- Schatten -estimates
Teng Zhang
We characterize the matrices for which the operator square-sum identity holds for all Schatten-c…
Strengthening of Clarkson-McCarthy inequalities with several operators
Teng Zhang
Strengthening of two Clarkson-McCarthy inequalities with several operators is established. These not only confirm a conjecture of the author in [Israel J. Math. 2024], but also imp…
An improvement and generalization of Rotfel'd type inequalities for sectorial matrices
Nan Fanghong, Teng Zhang
Byusing equivalence conditions for sectorial matrices obtained by Alakhrass and Sababheh in 2020, we improve a Rotfel'd type inequality for sectorial matrices derived by P. Zhang i…
Geometric Certificates for Deterministic Global Linear Convergence of Overparameterized Projected Gradient Descent
Teng Zhang, Xing Fan
We study projected gradient descent (ProjGD) for the rank-constrained problem when the unconstrained minimizer has rank …
Theoretical Guarantees for the Subspace-Constrained Tyler's Estimator
Gilad Lerman, Teng Zhang
This work analyzes the subspace-constrained Tyler's estimator (STE), a method designed to recover a low-dimensional subspace from a dataset that may be heavily corrupted by outlier…
Frequency-dependent squeezing for gravitational-wave detection through quantum teleportation
Yohei Nishino, Stefan Danilishin, Yutaro Enomoto +1
Ground-based interferometric gravitational wave detectors are highly precise sensors for weak forces, limited in sensitivity across their detection band by quantum fluctuations of…