• Title/Summary/Keyword: Divided differences method

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ON A QUADRATICALLY CONVERGENT ITERATIVE METHOD USING DIVIDED DIFFERENCES OF ORDER ONE

  • Argyros, Ioannis K.
    • The Pure and Applied Mathematics
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    • v.14 no.3
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    • pp.203-221
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    • 2007
  • We introduce a new two-point iterative method to approximate solutions of nonlinear operator equations. The method uses only divided differences of order one, and two previous iterates. However in contrast to the Secant method which is of order 1.618..., our method is of order two. A local and a semilocal convergence analysis is provided based on the majorizing principle. Finally the monotone convergence of the method is explored on partially ordered topological spaces. Numerical examples are also provided where our results compare favorably to earlier ones [1], [4], [5], [19].

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LOCAL CONVERGENCE OF THE SECANT METHOD UPPER $H{\ddot{O}}LDER$ CONTINUOUS DIVIDED DIFFERENCES

  • Argyros, Ioannis K.
    • East Asian mathematical journal
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    • v.24 no.1
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    • pp.21-25
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    • 2008
  • The semilocal convergence of the secant method under $H{\ddot{o}}lder$ continuous divided differences in a Banach space setting for solving nonlinear equations has been examined by us in [3]. The local convergence was recently examined in [4]. Motivated by optimization considerations and using the same hypotheses but more precise estimates than in [4] we provide a local convergence analysis with the following advantages: larger radius of convergence and finer error estimates on the distances involved. The results can be used for projection methods, to develop the cheapest possible mesh refinement strategies and to solve equations involving autonomous differential equations [1], [4], [7], [8].

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A Pilot Selection Method Using Divided Attention Test (주의 분배력 분석을 통한 조종사 선발 방법에 관한 연구)

  • Lee Dal-Ho
    • Journal of the military operations research society of Korea
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    • v.11 no.1
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    • pp.33-46
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    • 1985
  • This study develops a scientific method in pilot selection by analysing a divided attention performance between the successful pilots and the failures in a flight training course. To measure the divided attention performance, Dual Task Method is used in which the primary task is a tracking task while the secondary tasks are, 1. short-term memory task 2. choice reaction task 3. judgement task. Result shows that the performance of the pilots is significantly better (p < 0.1) than that of the failures in divided attention performance. In addition, the differences in the divided attention performance between the two groups are increased in proportion to the difficulty of the task and especially in the short term memory, the increment is most dramatic.

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A Pilot Selection Method using Divided Attention Test (주의력 배분능력 분석을 통한 조종사 선발방법에 관한 연구)

  • Lee, Dal-Ho;Lee, Myeon-U
    • Journal of Korean Institute of Industrial Engineers
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    • v.10 no.2
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    • pp.3-16
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    • 1984
  • This study develops a scientific method in pilot selection by analysing a divided attention performance between the successful pilots and the failures in a flight training course. To measure the divided attention performance, Dual Task Method is used in which the primary task is a tracking task while the secondary tasks are, 1. short term memory task, 2. choice reaction task and 3. judgement task. Result shows that the performance of the pilots is significantly better (P < 0.1) than that of the failures in dual performance. In addition, the differences in the divided attention performance between the two groups are increased in proportion to the difficulty of the task and especially in the Short Term Memory, the increment is most dramatic.

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An Optimization Model for Concurring Landscape Detailed Design with Final Products (조경공사의 설계와 시공일치를 위한 최적 모형)

  • 이용훈;이기의;서옥하
    • Journal of the Korean Institute of Landscape Architecture
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    • v.28 no.4
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    • pp.105-116
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    • 2000
  • The purpose of this paper is to minimize differences between landscape detailed design (hereafter 'design') and final landscape construction products in working sites (hereafter 'products'). Ten landscape sites constructed in recent two years were selected to examine the differences. Differences in quantities and quality between design and products were surveyed and the results were analyzed with the 'differential analysis method'. The method employed in this paper can be used as an optimization model to minimize the differences between design and products. This paper suggests that every landscape field should mark less than 13.672% calculated from the 10% of total amount for excellent construction products. This should be approved by the president, according to the Clause 20 of General Conditions of the Contract, divided by the ratio of quantities affecting mainly he average Difference in Value between Design and Construction(DVDC). This value can be the critical point from the differential analysis method for the optimal maximum DVDC between landscape design and final landscape construction products in fields.

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Analysis of Clinical Outcome and Prognosis for Lisfranc Joint Fracture and Dislocation according to the Injury Mechanism and Treatment Method (리스프랑 관절 골절 및 탈구의 수상 기전과 치료 방법에 따른 임상적 결과와 예후 분석)

  • Park, Hyun-Woo;Yi, Hyung Suk
    • Journal of Korean Foot and Ankle Society
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    • v.18 no.3
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    • pp.124-128
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    • 2014
  • Purpose: The purpose of this study was to assess the treatment outcomes and prognosis of Lisfranc joint fracture and dislocation according to the mechanism of injury and treatment method. Materials and Methods: Twenty six patients with Lisfranc fracture-dislocation who had been treated surgically were included in this retrospective study. The patients were divided into two groups according to mechanism of injury: direct crushing injury (16 patients) and indirect rotational or compressive injury (10 patients). The patients were also divided into three groups according to the surgical methods. The parameters used were radiographic evaluation, patients' subjective satisfaction levels, length of hospital stay, and the American Orthopaedic Foot and Ankle Society (AOFAS) midfoot score. Statistical analysis was performed. Results: The mean postoperative AOFAS midfoot score was 78.7. The mean length of stay was 39.6 days. Statistically significant differences in subjective satisfaction, AOFAS midfoot score, and length of hospital stay were observed between the two groups (p<0.05). However, no significance differences were observed between the three groups who were divided according to the different surgical methods (p>0.05). Conclusion: Mechanism of trauma and the severity of soft-tissue injury were significant prognostic factors affecting the surgical outcomes of Lisfranc joint fracture and dislocation.

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.

24 Hours Blood Pressure Variation and Related Risk factors (24시간 혈압 변동과 관련 위험 요인)

  • Choi In-Joo;Kim Young-Mi;Lee Hae-Jung
    • Journal of Korean Academy of Fundamentals of Nursing
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    • v.12 no.3
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    • pp.307-316
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    • 2005
  • Purpose: The purpose of this study was to identify 24 hours blood pressure variations among adults over 40 years of age. Method: The participants(50 adults) were recruited from P hospital and B company. The participants were divided into normotensive and hypertensive tendency groups and then sub-divided into non-dipper, dipper, and extreme dipper. The data were collected from April, 2003 to September, 2004 and analyzed using SPSS for Window program. Results: 1) There were significant differences in cardiovascular risk factor, systolic and diastolic blood pressures, and LDH, diet between the normotensive and hypertensive tendency groups. 2) Dippers in both groups showed a marked decrease in blood pressure during the night, but non-dippers in both groups didn't show a marked nocturnal decrease in blood pressure. 3) There were significant differences in heart rate, WHR, BMI, LDH, triglyceride, glucose, affective-oriented coping strategies between dippers and non-dippers. 4) There were significant differences in heart rate, WHR, BMI, LDH, triglyceride, affective-oriented coping strategies between dipper and non-dipper within hypertensive tendency group. Conclusion: Further studies are needed to provide effective intervention in hypertension when applying 24 hour blood pressure monitoring.

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NEW RECOGNITION AND IDENTIFICATION MERHOD FOR MICRO-ORGANISMS BY EXPERT SYSTEM DRIVEN IMAGE PROCESSING

  • Fukuda, Toshio;Hasegawa, Osamu
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.1005-1010
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    • 1989
  • A refined version of automatic micro-organism recognition and identification method, 'O.I.S.M.2' is proposed in this paper, using image processing based on an expert system. This proposed method is based on the segmentation of the organism image, characterizing segment features, which are independent of individual size and length. Complicated shapes of organisms are divided into basic shape segments defined in this paper such as lines, circles, ovals etc. Organisms can then be expressed simply in a set of segments, regardless their individual differences.

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Divergence of Grounded Theory : Focused on the Differences of Glaser and Strauss (근거이론의 분기: Glaser와 Strauss의 차이를 중심으로)

  • Kim, In-Sook
    • Korean Journal of Social Welfare Studies
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    • v.42 no.2
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    • pp.351-379
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    • 2011
  • This study explores the divergence of grounded theory focused on the differences of Glaser and Strauss. Grounded theory has been divided into two versions, Glaser version and Strauss version. Two versions are different in research methodology. Therefore, it is important for us to choose one of these two version. There are many grounded theory researches or qualitative researches by grounded theory approach in Korea. But Theses researches has been studied only Strauss version. Therefore this article introduces the differences of Glaser method and Strauss method in various aspects of research methods: basic logic of research process, core category and basic social process, and coding methods - especially axial coding, selective coding and theoretical coding. Glaser and Strauss argued differently in many aspects of grounded theory method.