Results 51 to 60 of about 4,765 (143)
AI‐Enhanced Signal Detection and Channel Estimation for Beyond 5G and 6G Wireless Networks
This paper introduces deep learning‐based methods for channel estimation and signal detection in ma‐MIMO systems, significantly improving performance. FF‐PCNet enhances channel estimation with 40.2% lower error, and LSTM‐DetNet and FF‐DetNet signal detection methods, which achieve superior signal detection with up to 99.993% SER performance and reduced
Muhammad Yunis Daha +3 more
wiley +1 more source
Unitarily invariant norms related to factors
42 pages, the introduction is rewritten, minor ...
Fang, Junsheng, Hadwin, Don
openaire +2 more sources
Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
wiley +1 more source
A class of unitarily invariant norms on B(H) [PDF]
Let H be a complex Hubert space and let B(H) be the algebra of all bounded linear operators on H. For c = (c1, ..., ck), where c1 ≥ ⋯ ≥ Ck > 0 and p ≥ 1, define the (c,p)-norm of A ∈ B(H) by ∥A∥c,p = (∑i=1 kcisi(A)p) 1/p where si(A) denotes the ith s ...
Chan, JT, Li, CK, Tu, CCN
core
ABSTRACT In this work, we propose a novel preconditioned minimal residual method for a class of real, nonsymmetric multilevel block Toeplitz systems, which generalizes an ideal preconditioner established in [J. Pestana. Preconditioners for symmetrized Toeplitz and multilevel Toeplitz matrices. SIAM Journal on Matrix Analysis and Applications, 40(3):870–
Grigorios Tachyridis, Sean Y. Hon
wiley +1 more source
Conformal optimization of eigenvalues on surfaces with symmetries
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
wiley +1 more source
Graph rigidity for unitarily invariant matrix norms
A rigidity theory is developed for bar-joint frameworks in linear matrix spaces endowed with a unitarily invariant norm. Analogues of Maxwell's counting criteria are obtained and minimally rigid matrix frameworks are shown to belong to the matroidal class of (k,l)-sparse graphs for suitable k and l.
Kitson, Derek, Levene, Rupert H.
openaire +2 more sources
A note on the $C$-numerical radius and the $\lambda$-Aluthge transform in finite factors
We prove that for any two elements $A$, $B$ in a factor $M$, if $B$ commutes with all the unitary conjugates of $A$, then either $A$ or $B$ is in $\mathbb{C}I$.
Fang, Junsheng +2 more
core +1 more source
Boundary representations of locally compact hyperbolic groups
Abstract We develop the theory of Patterson–Sullivan measures for locally compact hyperbolic groups. This theory associates to certain left‐invariant metrics on the group measures on its boundary. Next, we establish irreducibility of the resulting (unitary) Koopman representations for second countable, nonelementary, unimodular locally compact ...
Michael Glasner
wiley +1 more source
Enhanced Young-type inequalities utilizing Kantorovich approach for semidefinite matrices
This article introduces new Young-type inequalities, leveraging the Kantorovich constant, by refining the original inequality. In addition, we present a range of norm-based inequalities applicable to positive semidefinite matrices, such as the Hilbert ...
Bani-Ahmad Feras +1 more
doaj +1 more source

