• Title/Summary/Keyword: Convergence

Search Result 40,775, Processing Time 0.048 seconds

LOCAL CONVERGENCE THEOREMS FOR NEWTON METHODS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
    • /
    • v.8 no.2
    • /
    • pp.345-360
    • /
    • 2001
  • Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the mth(m≥2 an integer). Radius of convergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover, we show that under hypotheses on the mth Frechet-derivative our radius of convergence can sometimes be larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also provided to show that our radius of convergence is larger than the one in [10].

AFFINE INVARIANT LOCAL CONVERGENCE THEOREMS FOR INEXACT NEWTON-LIKE METHODS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
    • /
    • v.6 no.2
    • /
    • pp.393-406
    • /
    • 1999
  • Affine invariant sufficient conditions are given for two local convergence theorems involving inexact Newton-like methods. The first uses conditions on the first Frechet-derivative whereas the second theorem employs hypotheses on the second. Radius of con-vergence as well as rate of convergence results are derived. Results involving superlinear convergence and known to be true for inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivation our radius of convergence results are derived. Results involving superlinear convergence and known to be true or inexact Newton methods are extended here. Moreover we show that under hypotheses on the second Frechet-derivative our radius of conver-gence is larger than the corresponding one in [10]. This allows a wider choice for the initial guess. A numerical example is also pro-vided to show that our radius of convergence is larger then the one in [10].

SOME RESULTS ON CONVERGENCES IN FUZZY METRIC SPACES AND FUZZY NORMED SPACES

  • Cho, Kyugeun;Lee, Chongsung
    • Communications of the Korean Mathematical Society
    • /
    • v.35 no.1
    • /
    • pp.185-199
    • /
    • 2020
  • In this paper, we introduce the definitions of sp-convergent sequence in fuzzy metric spaces and fuzzy normed spaces. We investigate relations of convergence, sp-convergence, s-convergence and st-convergence in fuzzy metric spaces and fuzzy normed spaces. We also study sp-convergence, s-convergence and st-convergence using the sub-sequence of convergent sequence in fuzzy metric spaces and fuzzy normed spaces. Stationary fuzzy normed spaces are defined and investigated. We finally define sp-closed sets, s-closed sets and st-closed sets in fuzzy metric spaces and fuzzy normed spaces and investigate relations of them.

A Study on Natural Sciences and Engineering's Convergence Education Model for Cultivating Creative Capability (창의교육활성화를 위한 이공계융합교육모델 연구)

  • Lee, Yang-Weon
    • Journal of Engineering Education Research
    • /
    • v.15 no.6
    • /
    • pp.92-97
    • /
    • 2012
  • This paper deals with the model of natural sciences and engineering's convergence education. Recently, convergence education's necessary is needed since the most of new products are designed and produced based on the convergence technology. But our country's education system is keeping existing education process. This make industrial world undurable to employ the current graduated students. Also in view of educational world, they have no proper convergence education model for their students. In this paper, to solve the non-existing convergence education model, we derive the a few convergence education model and list up their model each. This result will be helpful for the introducer of the convergence education system.

Design and Implementation of the SoC for Terrestrial DMB Receiver (지상파 DMB 수신용 SoC 설계 및 구현)

  • Koo, Bon-Tae;Lee, Ju-Hyeon;Choe, Min-Seok;Lee, Seok-Ho;Kim, Jin-Gyu;Kim, Seong-Min;Park, Gi-Hyeok;Kim, Deok-Hwan;Gwon, Yeong-Su;Eom, Nak-Ung
    • Proceedings of the IEEK Conference
    • /
    • 2006.06a
    • /
    • pp.669-670
    • /
    • 2006
  • This paper describes the functions and design technology of the T-DMB (Terrestrial Digital Multimedia Broadcasting) receiver. T-DMB is a novel broadcasting media that can provide high-quality video and audio services. In this paper, we will describe the VLSI implementation of RF, Baseband and Multimedia Chip for T-DMB Receiver. The designed DMB SoC has low power consumption and has been implemented using a standard-cell library in 0.18um CMOS technology.

  • PDF

Convergence Security Provider Self-Conformity System (융합보안 공급자 자기 적합성 제도)

  • Baik, Namkyun
    • Journal of Korea Society of Digital Industry and Information Management
    • /
    • v.15 no.2
    • /
    • pp.53-61
    • /
    • 2019
  • In this paper, we propose 'a self - conformance system of convergence security provider' to provide basic data for security and reliability of convergence industrial technology, system and service. It is difficult to evaluate convergence security systems, limited to information and communication service providers, unable to check convergence security items, burden of submission documents, difficulty in measuring convergence security service level and we will summarize product and service-based requirements that can be integrated and systematically measure the level of convergence security and define renewed life cycle-based convergence security information and content security and assurance requirements. On the basis of this, each convergence security company declares conformity with the standard itself without the certification of the certification body, and introduces the provider conformity certification system which can manufacture and sell. This will enable the company to strengthen its competitiveness through timely launch and implementation of products and services and cost reduction.

HYPO-CONVERGENCE OF SEQUENCES OF FUZZY SETS AND MAXIMIZATION

  • Tortop, Sukru;Dundar, ErdInC
    • Honam Mathematical Journal
    • /
    • v.44 no.3
    • /
    • pp.461-472
    • /
    • 2022
  • In optimization theory, hypo-convergence is considered as an effective tool by providing the convergence of supremum values under some conditions. This feature makes it different from other types of convergence. Therefore, we have defined the hypo-convergence of a sequence of fuzzy sets due to the increasing interest in fuzzy set theory in recent years. After giving a theoretical framework, we deal with the optimization process by using a sequential characterization of hypo-convergence of sequence of fuzzy sets. Since the maximization process in optimization theory is beyond the presence of hypo-convergence, we give some conditions to satisfy the convergence of supremum values. Furthermore, we show how sequence of fuzzy sets and fuzzy numbers differ in the convergence of the supremum values.

An Analysis of the Convergence Factors, Convergence Passes, and Convergence Types in Content Industries (콘텐츠의 융합요소 및 융합경로와 융합유형 분석)

  • Rim, Myung Hwan;Lee, Jung Mann
    • Journal of Information Technology Applications and Management
    • /
    • v.20 no.3_spc
    • /
    • pp.295-314
    • /
    • 2013
  • These days a great mix of traditional and digital contents such as movie, broadcasting, advertisement, e-books, music, game, animation, cartoon, character, knowledge information, and art performance are widely available. Many more are yet to come, with improved quality and added features. It is expected that all these contents will be evolved into a new breed of convergence content through the process of consolidation, expansion, integration, and recreation. Across the digital ecosystem, a new formula is being added to the industrial structure : 'Information/Content-Platform/Device-Goods/Service.' In the near future, as a result of technological innovation and convergence, the business sector will lose its boundaries as well, as businesses will be forced to look beyond the product itself and focus more on multi-functionality. Especially, in the era of creative economy, more policies need to be crafted in order to procure a new growth engine for the future with the agenda for convergence between humanities and technology. Therefore, the purpose of this paper is to analyze the concept, factors, elements, types, and cases of convergence, which are the essence of content convergence. This analysis, with its focus on the convergence process, will help identify the effects and limits of content convergence as well as the prospects for convergence contents in the smart ecosystem under the creative economic system.

A Study on the Comparison of Educational Effects between Convergence Majors and Single Majors in R Lecture

  • Ryu, Gui Yeol
    • International Journal of Internet, Broadcasting and Communication
    • /
    • v.12 no.3
    • /
    • pp.18-24
    • /
    • 2020
  • The purpose of this paper is an analysis of the difference between convergence majors and single majors in the convergence core competency and educational performance. We used survey data for the analysis of the convergence core competencies, the results of the midterm and final exams for the education performance. Analysis targets are 10 students in big data business intelligence at Seokyeong University as convergence majors and 11 students in business administration as single majors. The target course was an analysis of economic data provided in the second semester of 2019. And the lecture contents were analysis of big data using R programming. The survey was conducted on December 5, 2019. The convergence core competences were creative thinking, critical thinking, understanding convergence knowledge, problem solving ability, communication skills, cooperation ability, use of convergence tools, consideration, and responsibility. As results of homogeneity tests, we found that there was no significant difference in all competencies, but there were very significant differences in the educational performance evaluated by the midterm and final exams. Therefore we can see willingness to convergence of single majors was no different from that of convergence majors, but had not led to practice. It is desirable to activate and support convergence courses.