A residue theorem for Malcev–Neumann series [PDF]
In this paper, we establish a residue theorem for Malcev-Neumann series that requires few constraints, and includes previously known combinatorial residue theorems as special cases. Our residue theorem identifies the residues of two formal series that are related by a change of variables.
Ferreira, Vitor O. +2 more
exaly +10 more sources
Mitigating quantum errors via truncated Neumann series
Quantum gates and measurements on quantum hardware are inevitably subject to hardware imperfections that lead to quantum errors. Mitigating such unavoidable errors is crucial to explore the power of quantum hardware better.
Kun Wang, Yuanyi Chen, Xin Wang
semanticscholar +3 more sources
Biobjective Optimization Algorithms Using Neumann Series Expansion for Engineering Design [PDF]
In this paper, two novel algorithms are designed for solving biobjective optimization engineering problems. In order to obtain the optimal solutions of the biobjective optimization problems in a fast and accurate manner, the algorithms, which have ...
Huan Guo +5 more
doaj +2 more sources
Incorporating reflection boundary conditions in the Neumann series radiative transport equation: application to photon propagation and reconstruction in diffuse optical imaging. [PDF]
We propose a formalism to incorporate boundary conditions in a Neumann-series-based radiative transport equation. The formalism accurately models the reflection of photons at the tissue-external medium interface using Fresnel's equations.
Jha AK +4 more
europepmc +2 more sources
For massive multiple-input multiple-output (MIMO) systems, linear precoding is preferable to nonlinear precoding for better performance-complexity trade-off.
Qian Deng +5 more
doaj +2 more sources
Convergence of iterative methods based on Neumann series for composite materials: Theory and practice [PDF]
Iterative fast Fourier transform methods are useful for calculating the fields in composite materials and their macroscopic response. By iterating back and forth until convergence, the differential constraints are satisfied in Fourier space and the ...
H. Moulinec, P. Suquet, G. Milton
semanticscholar +5 more sources
On the matrix inversion approximation based on neumann series in massive MIMO systems [PDF]
Zero-Forcing (ZF) has been considered as one of the potential practical precoding and detection method for massive MIMO systems. One of the most important advantages of massive MIMO is the capability of supporting a large number of users in the same time-
Dengkui Zhu, Boyu Li, Ping Liang
semanticscholar +3 more sources
Second Type Neumann Series of Generalized Nicholson Function
The second type Neumann series are considered whose building blocks are generalized Nicholson's functions B_\nu^p(x) = J_\nu^p(x)+ Y_\nu^p(x), being J_\nu, Y_\nu Bessel functions of the first and second kind of order \nu, p \geq 2 integer. Closed form definite integral expressions are obtained for such series with the aid of the associated Dirichlet ...
D. Jankov Maširević, T. Pogány
semanticscholar +5 more sources
Coupling Effects and Analysis in Extremely Large-Scale Planar Array Antennas [PDF]
This paper develops a physically consistent precoding framework for extremely large antenna arrays (ELAAs), incorporating structural mutual coupling through a two-dimensional impedance network.
Zhiwei Yuan +6 more
doaj +2 more sources
ANALYTIC DISCRETE-ORDINATES SOLUTION FOR TIME-DEPENDENT TRANSPORT IN FINITE MEDIA [PDF]
We present an extension of the Analytic Discrete-Ordinates method to time-dependent transport in finite media. The application of this technique to time-dependent transport is primarily accomplished through the use of a Laplace transform.
Densmore Jeffery D., Kooreman Gabriel
doaj +1 more source

