ITERATIONS

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Consequences of Invariant Functions for the Riemann Hypothesis
《Advances in Pure Mathematics》2025年第1期36-72,共37页Michael Mark Anthony 
This paper attempts to form a bridge between a sum of the divisors function and the gamma function, proposing a novel approach that could have significant implications for classical problems in number theory, specific...
关键词：LambertW Function Principal Branch Riemann Hypothesis ITERATIONS Robin Inequality Robin Integers INVARIANCE Gauss Gamma Function Li-Function Prime Counting Function Sums of Divisors INVARIANCE PRIMES Twin Primes 
Improved dynamic regret of distributed online multiple Frank-Wolfe convex optimization
《Science China(Information Sciences)》2024年第11期160-175,共16页Wentao ZHANG Yang SHI Baoyong ZHANG Deming YUAN 
supported by National Natural Science Foundation of China(Grant Nos.62273181,62373190,62221004);in part by Postgraduate Research and Practice Innovation Program of Jiangsu Province(Grant No.KYCX220453)。
In this paper,we explore a distributed online convex optimization problem over a time-varying multi-agent network.The network aims to minimize a global loss function through local computation and communication with ne...
关键词：distributed online convex optimization multiple iterations Frank-Wolfe algorithm dynamic regret gradient tracking method 
Improved Variable Forgetting Factor Proportionate RLS Algorithm with Sparse Penalty and Fast Implementation Using DCD Iterations
《China Communications》2024年第10期16-27,共12页Han Zhen Zhang Fengrui Zhang Yu Han Yanfeng Jiang Peng 
supported by National Key Research and Development Program of China(2020YFB0505803);National Key Research and Development Program of China(2016YFB0501700)。
The proportionate recursive least squares(PRLS)algorithm has shown faster convergence and better performance than both proportionate updating(PU)mechanism based least mean squares(LMS)algorithms and RLS algorithms wit...
关键词：dichotomous coordinate descent proportionate matrix RLS sparse systems variable forgetting factor 
On Perron’s Formula and the Prime Numbers
《Advances in Pure Mathematics》2024年第6期487-494,共8页Michael M. Anthony 
The Riemann hypothesis is intimately connected to the counting functions for the primes. In particular, Perron’s explicit formula relates the prime counting function to fixed points of iterations of the explicit form...
关键词：Perron Fixed Points ITERATIONS Number Theory Riemann Hypothesis ITERATIONS INVARIANCE PRIMES 
On Some Problems of Extracting the Root from a Given Finite Language
《Journal of Applied Mathematics and Physics》2023年第5期1471-1481,共11页Boris F. Melnikov Aleksandra A. Melnikova 
Based on the standard definition of the product (concatenation), the natural non-negative degree of the language is introduced. Root extraction is the reverse operation to it, and it can be defined in several differen...
关键词：Formal Languages Iterations of Languages Root Extraction Algorithms The Boolean 
REQUIRED NUMBER OF ITERATIONS FOR SPARSE SIGNAL RECOVERY VIA ORTHOGONAL LEAST SQUARES
《Journal of Computational Mathematics》2023年第1期1-17,共17页Haifeng Li Jing Zhang Jinming Wen Dongfang Li 
supported by the National Natural Science Foundation of China(grant nos.61907014,11871248,11701410,61901160);the Natural Science Foundation of Guangdong province(No.2021A1515010857);Youth Science Foundation of Henan Normal University(grant no.2019QK03);China Postdoctoral Science Foundation(grant no.2019M660557);Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2019).
In countless applications,we need to reconstruct a K-sparse signal x∈R n from noisy measurements y=Φx+v,whereΦ∈R^(m×n)is a sensing matrix and v∈R m is a noise vector.Orthogonal least squares(OLS),which selects a...
关键词：Sparse signal recovery Orthogonal least squares(OLS) Restricted isometry property(RIP) 
Parallel finite element computation of incompressible magnetohydrodynamics based on three iterations被引量：1
《Applied Mathematics and Mechanics(English Edition)》2022年第1期141-154,共14页Qili TANG Yunqing HUANG 
Project supported by the National Natural Science Foundation of China(Nos.11971410 and12071404);the Natural Science Foundation of Hunan Province of China(No.2019JJ40279);the Excellent Youth Program of Scientific Research Project of Hunan Provincial Department of Education(Nos.18B064 and 20B564);the China Postdoctoral Science Foundation(Nos.2018T110073 and 2018M631402);the International Scientific and Technological Innovation Cooperation Base of Hunan Province for Computational Science(No.2018WK4006)。
Based on local algorithms,some parallel finite element(FE)iterative methods for stationary incompressible magnetohydrodynamics(MHD)are presented.These approaches are on account of two-grid skill include two major phas...
关键词：local and parallel algorithm finite element(FE)method ITERATION stationary incompressible magnetohydrodynamics(MHD) 
Quality oriented multimode processes monitoring based on a novel hierarchical common and specific structure with different order information
《Chinese Journal of Chemical Engineering》2021年第11期183-192,共10页Yun Wang Yuchen He De Gu 
the National Natural Science Foundation of China(61903352);China Postdoctoral Science Foundation(2020M671721);Zhejiang Province Natural Science Foundation of China(LQ19F030007);Natural Science Foundation of Jiangsu Province(BK20180594);Project of department of education of Zhejiang province(Y202044960);Project of Zhejiang Tongji Vocational College of Science and Technology(TRC1904);Foundation of Key Laboratory of Advanced Process Control for Light Industry(Jiangnan University),Ministry of Education,P.R.China,APCLI1803.
Due to higher demands on product diversity,flexible shift between productions of different products in one equipment becomes a popular solution,resulting in existence of multiple operation modes in a single process.In...
关键词：Multimode processes monitoring Dual iterations Double layer information extraction High order expansion Quality related 
Local Linear Convergence of an ADMM-Type Splitting Framework for Equality Constrained Optimization
《Journal of the Operations Research Society of China》2021年第2期307-319,共13页Jun-Feng Yang Yin Zhang 
This work was supported in part by Shenzhen Fundamental Research Fund(Nos.JCYJ-20170306141038939,KQJSCX-20170728162302784,ZDSYS-201707251409055)via the Shenzhen Research Institute of Big Data;The work of Jun-Feng Yang was supported by the National Natural Science Foundation of China(Nos.11771208,11922111,11671195).
We establish local convergence results for a generic algorithmic framework for solving a wide class of equality constrained optimization problems.The framework is based on applying a splitting scheme to the augmented ...
关键词：Alternating direction method of multipliers Nonlinear splitting Stationary iterations Spectral radius Local linear convergence 
Parametrising historical Chinese courtyard-dwellings:An algorithmic design framework for the digital representation of Siheyuan iterations based on traditional design principles被引量：3
《Frontiers of Architectural Research》2020年第4期751-773,共23页Yuyang Wang Asterios Agkathidis Andrew Crompton 
supported by the funding from The China Scholarship Council(No.201708510109).
Many Beijing Siheyuan,a type of Chinese vernacular housing with significant cultural value,have been lost in recent years.Preserving the few remaining has become a necessity,but many contemporary architects lack an un...
关键词：Digital heritage Parametric design Siheyuan Feng shui Gonscheng Zuofa Ze/f Algorithmic design Computational design 
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