• Title/Summary/Keyword: Convergence analysis

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IMPROVED LOCAL CONVERGENCE ANALYSIS FOR A THREE POINT METHOD OF CONVERGENCE ORDER 1.839

  • Argyros, Ioannis K.;Cho, Yeol Je;George, Santhosh
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.3
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    • pp.621-629
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    • 2019
  • In this paper, we present a local convergence analysis of a three point method with convergence order $1.839{\ldots}$ for approximating a locally unique solution of a nonlinear operator equation in setting of Banach spaces. Using weaker hypotheses than in earlier studies, we obtain: larger radius of convergence and more precise error estimates on the distances involved. Finally, numerical examples are used to show the advantages of the main results over earlier results.

The Analysis Methods Based on Patent Citation Networks for the Convergence Technologies Development Planning : A Case of Smart Factory's ICT Technologies (융합기술 개발전략 기획을 위한 특허 인용 네트워크 기반의 분석 방법론 : 스마트공장 ICT 기술을 중심으로)

  • Lee, Hyun-Min;Kim, Sun-Jae;Kim, Hong-Young
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.1
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    • pp.34-47
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    • 2018
  • As interest in advanced countries regarding the convergence technology development increases, a methodology for identifying the core convergence technology that has a large spill-over effect on the technology and industry is required for the nation's competitiveness enhancement in the convergence technology field. Based on patent citation network analysis using 1,124 USPTO patents in the ICT convergence technology field of the smart factory, this study examined the proposed heterogeneous technology convergence index as a tool for measuring the convergence characteristics of the spillovers compared to other indexes (i.e. other sector ratio index and homogeneous technology convergence index). The proposed heterogeneous technology convergence index was used to investigate core technology sectors among ICT technology sectors of smart factory identified by government ministries. Results found 6 core ICT convergence technology sectors including the manufacturing execution analysis application sector. Also, this study conducted blockmodeling analysis using the IPC codes of patents in the manufacturing execution analysis application sector, and identified that the blocks representing the electronic communication and electric digital data processing technology sectors (Block 3 & 4) are related technology sectors which can be converged with core technology. Based on the findings, the implications for the convergence technology development planning of the smart factory field are discussed.

LOCAL CONVERGENCE OF NEWTON'S METHOD FOR PERTURBED GENERALIZED EQUATIONS

  • Argyros Ioannis K.
    • The Pure and Applied Mathematics
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    • v.13 no.4 s.34
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    • pp.261-267
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    • 2006
  • A local convergence analysis of Newton's method for perturbed generalized equations is provided in a Banach space setting. Using center Lipschitzian conditions which are actually needed instead of Lipschitzian hypotheses on the $Fr\'{e}chet$-derivative of the operator involved and more precise estimates under less computational cost we provide a finer convergence analysis of Newton's method than before [5]-[7].

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BROYDEN'S METHOD FOR OPERATORS WITH REGULARLY CONTINUOUS DIVIDED DIFFERENCES

  • Galperin, Anatoly M.
    • Journal of the Korean Mathematical Society
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    • v.52 no.1
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    • pp.43-65
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    • 2015
  • We present a new convergence analysis of popular Broyden's method in the Banach/Hilbert space setting which is applicable to non-smooth operators. Moreover, we do not assume a priori solvability of the equation under consideration. Nevertheless, without these simplifying assumptions our convergence theorem implies existence of a solution and superlinear convergence of Broyden's iterations. To demonstrate practical merits of Broyden's method, we use it for numerical solution of three nontrivial infinite-dimensional problems.

ON THE SEMILOCAL CONVERGENCE OF THE GAUSS-NEWTON METHOD USING RECURRENT FUNCTIONS

  • Argyros, Ioannis K.;Hilout, Said
    • The Pure and Applied Mathematics
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    • v.17 no.4
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    • pp.307-319
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    • 2010
  • We provide a new semilocal convergence analysis of the Gauss-Newton method (GNM) for solving nonlinear equation in the Euclidean space. Using our new idea of recurrent functions, and a combination of center-Lipschitz, Lipschitz conditions, we provide under the same or weaker hypotheses than before [7]-[13], a tighter convergence analysis. The results can be extented in case outer or generalized inverses are used. Numerical examples are also provided to show that our results apply, where others fail [7]-[13].

Discovering Promising Convergence Technologies Using Network Analysis of Maturity and Dependency of Technology (기술 성숙도 및 의존도의 네트워크 분석을 통한 유망 융합 기술 발굴 방법론)

  • Choi, Hochang;Kwahk, Kee-Young;Kim, Namgyu
    • Journal of Intelligence and Information Systems
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    • v.24 no.1
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    • pp.101-124
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    • 2018
  • Recently, most of the technologies have been developed in various forms through the advancement of single technology or interaction with other technologies. Particularly, these technologies have the characteristic of the convergence caused by the interaction between two or more techniques. In addition, efforts in responding to technological changes by advance are continuously increasing through forecasting promising convergence technologies that will emerge in the near future. According to this phenomenon, many researchers are attempting to perform various analyses about forecasting promising convergence technologies. A convergence technology has characteristics of various technologies according to the principle of generation. Therefore, forecasting promising convergence technologies is much more difficult than forecasting general technologies with high growth potential. Nevertheless, some achievements have been confirmed in an attempt to forecasting promising technologies using big data analysis and social network analysis. Studies of convergence technology through data analysis are actively conducted with the theme of discovering new convergence technologies and analyzing their trends. According that, information about new convergence technologies is being provided more abundantly than in the past. However, existing methods in analyzing convergence technology have some limitations. Firstly, most studies deal with convergence technology analyze data through predefined technology classifications. The technologies appearing recently tend to have characteristics of convergence and thus consist of technologies from various fields. In other words, the new convergence technologies may not belong to the defined classification. Therefore, the existing method does not properly reflect the dynamic change of the convergence phenomenon. Secondly, in order to forecast the promising convergence technologies, most of the existing analysis method use the general purpose indicators in process. This method does not fully utilize the specificity of convergence phenomenon. The new convergence technology is highly dependent on the existing technology, which is the origin of that technology. Based on that, it can grow into the independent field or disappear rapidly, according to the change of the dependent technology. In the existing analysis, the potential growth of convergence technology is judged through the traditional indicators designed from the general purpose. However, these indicators do not reflect the principle of convergence. In other words, these indicators do not reflect the characteristics of convergence technology, which brings the meaning of new technologies emerge through two or more mature technologies and grown technologies affect the creation of another technology. Thirdly, previous studies do not provide objective methods for evaluating the accuracy of models in forecasting promising convergence technologies. In the studies of convergence technology, the subject of forecasting promising technologies was relatively insufficient due to the complexity of the field. Therefore, it is difficult to find a method to evaluate the accuracy of the model that forecasting promising convergence technologies. In order to activate the field of forecasting promising convergence technology, it is important to establish a method for objectively verifying and evaluating the accuracy of the model proposed by each study. To overcome these limitations, we propose a new method for analysis of convergence technologies. First of all, through topic modeling, we derive a new technology classification in terms of text content. It reflects the dynamic change of the actual technology market, not the existing fixed classification standard. In addition, we identify the influence relationships between technologies through the topic correspondence weights of each document, and structuralize them into a network. In addition, we devise a centrality indicator (PGC, potential growth centrality) to forecast the future growth of technology by utilizing the centrality information of each technology. It reflects the convergence characteristics of each technology, according to technology maturity and interdependence between technologies. Along with this, we propose a method to evaluate the accuracy of forecasting model by measuring the growth rate of promising technology. It is based on the variation of potential growth centrality by period. In this paper, we conduct experiments with 13,477 patent documents dealing with technical contents to evaluate the performance and practical applicability of the proposed method. As a result, it is confirmed that the forecast model based on a centrality indicator of the proposed method has a maximum forecast accuracy of about 2.88 times higher than the accuracy of the forecast model based on the currently used network indicators.

A Comparative Analysis of Convergence Types and Technology Levels of Polymer Technologies in Korea and Other Advanced Countries: Utilizing Patent Information (한국과 선진국 간 고분자 소재 기술의 융합 형태와 기술수준 비교 분석: 특허 정보의 활용)

  • Noh, Jee-Suk;Ji, Ilyong
    • Journal of the Korea Convergence Society
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    • v.10 no.3
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    • pp.185-192
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    • 2019
  • Polymer materials are used in a wide variety of fields such as automobiles, aerospace, energy, IT, and as well as simple household products. Despite high interest in the technological convergence of polymer materials for the sustaining progress, there have been only limited analyzes on the topic. This research attempted to analyze the types of convergence and the level of technology in the polymer materials field. For this purpose, we collected patent information from the PCT database and implemented a co-classification analysis. The research shows that Japan and Korea have more section-level convergence whilst US and Europe focus on field-level convergence. In terms of the quality measured by patent activity, patent competitiveness, and patent effect, Korean convergence technologies seem to be inferior to those of other countries.

Human Development Convergence and the Impact of Funds Transfer to Regions: A Dynamic Panel Data Approach

  • GINANJAR, Rah Adi Fahmi;ZAHARA, Vadilla Mutia;SUCI, Stannia Cahaya;SUHENDRA, Indra
    • The Journal of Asian Finance, Economics and Business
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    • v.7 no.12
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    • pp.593-604
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    • 2020
  • This study analyzes human development convergence and the impact of funds transfer to the regions using σ and β-convergence analysis method. Observations were made in all Indonesia's provinces in the period 2010-2019. The coefficient of variation calculation shows a dispersion in the inequality of human development, which means that convergence occurred. This is also documented by the clustering analysis results developed in the study. The results are in line with the hypothesis of neoclassical theory, which shows the tendency for provinces with lower human development levels to grow relatively faster. The dynamic panel data approach with the GMM model shows that a model built with explanatory variables for transfer of funds to regions may lead to the process of convergence of human development - 2.21% per year or 31 years to cover the half-life of convergence. This is a consequence of the Special Allocation Fund and the Village Fund, which positively impact the convergence process, and the General Allocation Fund and the Revenue Sharing Fund with negative signs slowing the convergence process. This evidence opens opportunities to review the justification of the weighting component in determining the amount of funds transferred to the region to accelerate the convergence process of human development.

Identifying Converging Technologies in the ICT Industry : Analysis of Patents Published by Incumbents and Entrants (산업 내 경쟁자와 신규진입자의 등록특허 분석을 통한 ICT 산업 융합기술 도출)

  • An, Jaehyeong;Kim, Kyuwoong;Noh, Heeyong;Lee, Sungjoo
    • Journal of Korean Institute of Industrial Engineers
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    • v.42 no.3
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    • pp.209-221
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    • 2016
  • As the ICT is an industry which is the basis of the technology convergence, it is the driving force of development for new business opportunities and existing industries. But, most of the existing studies for ICT convergence have identified the trend for convergence in technological terms. So, it is difficult to identify the convergence trend in the subject innovation perspective which leads the innovation activities In the ICT industry. The newly entered companies in the ICT industry are key indicators to identify the convergence trend. They have two specific characteristics that show the wide range of the convergence technology and the application rate of the convergence. Because previous studies did not take into account these two characteristics of the newly entered companies, so it is hard to analyze the exact convergence trend. Therefore, in this paper, we classify the patents for the ICT industry depending on the subject innovation. Then, we deduct the core convergence technology in the ICT industries and application area of the non-ICT industries.

Convergence Characteristics of Preconditioned Euler Equations (예조건화된 오일러 방정식의 수렴특성)

  • 이상현
    • Journal of the Korean Society of Propulsion Engineers
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    • v.8 no.1
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    • pp.27-37
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    • 2004
  • The convergence characteristics of preconditioned Euler equations were studied. A perturbation analysis was conducted to understand the behavior of the preconditioned Euler equations. Various speed flows in a two-dimensional channel with a 10% circular arc in the middle of the channel were calculated. Roe's FDS scheme was used for spatial discretization and the LU-SGS scheme was used for time integration. It is shown that the convergence characteristics of pressure and velocity were maintained regardless of the Mach numbers but that the convergence characteristics of temperature were strongly related to the Mach number and became worse as the Mach number decreased. The perturbation analysis well explained the trend of the convergence characteristics and showed that the convergence characteristics are strongly related with the behavior o( the Preconditioning matrix.