Quantum analysis on the convergence speed of exponential product formulas — differential-subtraction and exchange-integration method on concise norm bounds

2021 ◽  
Vol 62 (6) ◽  
pp. 062202
Author(s):  
Masuo Suzuki
Keyword(s):  
Integration Method ◽  
Convergence Speed ◽  
Quantum Analysis ◽  
Product Formulas

COMPUTATIONICS AND QUANTUM ANALYSIS

1999 ◽  
Vol 10 (08) ◽  
pp. 1385-1390 ◽  
Author(s):  
MASUO SUZUKI
Keyword(s):  
Magnetic Field ◽  
Quantum Correlation ◽  
Nonlinear Response ◽  
Magnetic Systems ◽  
Quantum Analysis ◽  
Product Formulas

The purpose of the present paper is to review briefly the quantum analysis and to apply it in deriving quantum correlation identities. These give the nonlinear response of isotropic magnetic systems in the presence of a finite magnetic field. Hybrid exponential product formulas are also discussed from the point of computationics, as an application of the quantum analysis.

Erratum: “Primal Macro-Projective Integration Method for Multi-Scale Plasma Simulation” [Plasma Fusion Res. 3, 021 (2008)]

2009 ◽  
Vol 4 ◽  
pp. 056-056 ◽  
Author(s):  
Miloš M. ŠKORIĆ ◽  
Aleksandra MALUCKOV ◽  
Seiji ISHIGURO
Keyword(s):  
Integration Method ◽  
Plasma Simulation ◽  
Multi Scale ◽  
Plasma Fusion

Active control for vehicle interior noise using the improved iterative variable step-size and variable tap-length LMS algorithms

2019 ◽  
Vol 67 (6) ◽  
pp. 405-414 ◽  
Author(s):  
Ningning Liu ◽  
Yuedong Sun ◽  
Yansong Wang ◽  
Hui Guo ◽  
Bin Gao ◽  
...  
Keyword(s):  
Steady State ◽  
Noise Control ◽  
Convergence Speed ◽  
Interior Noise ◽  
Lms Algorithm ◽  
Variable Step Size ◽  
Step Size ◽  
Vehicle Interior ◽  
Vehicle Interior Noise ◽  
Variable Step

Active noise control (ANC) is used to reduce undesirable noise, particularly at low frequencies. There are many algorithms based on the least mean square (LMS) algorithm, such as the filtered-x LMS (FxLMS) algorithm, which have been widely used for ANC systems. However, the LMS algorithm cannot balance convergence speed and steady-state error due to the fixed step size and tap length. Accordingly, in this article, two improved LMS algorithms, namely, the iterative variable step-size LMS (IVS-LMS) and the variable tap-length LMS (VT-LMS), are proposed for active vehicle interior noise control. The interior noises of a sample vehicle are measured and thereby their frequency characteristics. Results show that the sound energy of noise is concentrated within a low-frequency range below 1000 Hz. The classical LMS, IVS-LMS and VT-LMS algorithms are applied to the measured noise signals. Results further suggest that the IVS-LMS and VT-LMS algorithms can better improve algorithmic performance for convergence speed and steady-state error compared with the classical LMS. The proposed algorithms could potentially be incorporated into other LMS-based algorithms (like the FxLMS) used in ANC systems for improving the ride comfort of a vehicle.

Features of Integration and Metaintegration in American Region

2019 ◽  
pp. 58-64
Keyword(s):  
Integration Method ◽  
South American ◽  
Legal Systems ◽  
Policy Integration ◽  
American Continent ◽  
Member States ◽  
The Creation ◽  
South American Continent ◽  
Andean Community ◽  
American Region

The analysis of integration of the legal systems of states in the American region is held. In the Southern subregion, a combination of integration and disintegration in cooperation of states led to the creation of two integration entities – MERCOSUR and the Andean Community (AC), in the Northern subregion – NAFTA. The author concludes that the convergence on the American continent, especially using the integration method, helped to implement a special scenario in the southern part of this continent – the meta-integration scenario, with the creation of the Union of South American Nations, uniting the Andean Community and MERCOSUR – something resembling a European one, but at the same time different from it. UNASUR is an effective mechanism for bringing together and integrating the states of the South American continent. Within this Union with notable leadership of Brazil and Argentina the first steps in the direction of the foreign policy integration of the member states are traced. In terms of economic integration, the Union uses the achievements of the AC and MERCOSUR, unifying the legal regulators in the economic sphere and bringing rapprochement to the legal systems of the member states.

Design of survivability quantum analysis database and quantum algorithm based on CVE database

2008 ◽  
Vol 28 (2) ◽  
pp. 415-417
Author(s):  
Xin-zhe WANG
Keyword(s):  
Quantum Algorithm ◽  
Quantum Analysis

Data integration method based on SOA software architecture

2010 ◽  
Vol 30 (9) ◽  
pp. 2370-2373 ◽  
Author(s):  
Jiong LANG ◽  
Yan-bing LIU ◽  
Shi-yong XIONG
Keyword(s):  
Data Integration ◽  
Software Architecture ◽  
Integration Method
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