• Title/Summary/Keyword: Convergence applications

Search Result 1,823, Processing Time 0.023 seconds

ON THE COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES

  • Qiu, Dehua;Chen, Pingyan;Antonini, Rita Giuliano;Volodin, Andrei
    • Journal of the Korean Mathematical Society
    • /
    • v.50 no.2
    • /
    • pp.379-392
    • /
    • 2013
  • A general result for the complete convergence of arrays of rowwise extended negatively dependent random variables is derived. As its applications eight corollaries for complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables are given, which extend the corresponding known results for independent case.

CONCERNING THE RADIUS OF CONVERGENCE OF NEWTON'S METHOD AND APPLICATIONS

  • Argyros, Ioannis K.
    • Journal of applied mathematics & informatics
    • /
    • v.6 no.3
    • /
    • pp.685-696
    • /
    • 1999
  • We present local and semilocal convergence results for New-ton's method in a Banach space setting. In particular using Lipschitz-type assumptions on the second Frechet-derivative we find results con-cerning the radius of convergence of Newton's method. Such results are useful in the context of predictor-corrector continuation procedures. Finally we provide numerical examples to show that our results can ap-ply where earlier ones using Lipschitz assumption on the first Frechet-derivative fail.

ON THE RADIUS OF CONVERGENCE OF SOME NEWTON-TYPE METHODS IN BANACH SPACES

  • Argyros, Ioannis K.;Hilout, Said
    • The Pure and Applied Mathematics
    • /
    • v.18 no.3
    • /
    • pp.219-230
    • /
    • 2011
  • We determine the radius of convergence for some Newton{type methods (NTM) for approximating a locally unique solution of an equation in a Banach space setting. A comparison is given between the radii of (NTM) and Newton's method (NM). Numerical examples further validating the theoretical results are also provided in this study.

On Convergence of Weighted Sums of LNQD Random

  • Kim, So-Youn;Baek, Jong-Il
    • Communications for Statistical Applications and Methods
    • /
    • v.19 no.5
    • /
    • pp.647-654
    • /
    • 2012
  • We discuss the strong convergence for weighted sums of linearly negative quadrant dependent(LNQD) random variables under suitable conditions and the central limit theorem for weighted sums of an LNQD case is also considered. In addition, we derive some corollaries in LNQD setting.

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

  • Argyros, Ioannis K.;Hilout, Said
    • The Pure and Applied Mathematics
    • /
    • v.17 no.4
    • /
    • pp.307-319
    • /
    • 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].

A Study of the WPT Module Using Inductive Coupling for the Convergence Applications (융합형 어플리케이션을 위한 자기유도 방식의 무선전력전송 모듈설계에 대한 연구)

  • Jeong, Byeong-Ho;Park, Ju-Hoon;Kang, Bo-An
    • Journal of the Korea Convergence Society
    • /
    • v.6 no.2
    • /
    • pp.57-64
    • /
    • 2015
  • Inductive Power Transfer (IPT) systems have successfully been developed and used to replace traditional conductive power transfer systems where physical connection is either inconvenient or impossible, such as biomedical implants, undersea vehicles, and contactless battery chargers of robots, for providing power to movable or detachable loads. Inductive Coupling uses magnetic fields to transfer power. There is a primary coil, which generates a magnetic field. Then there is another secondary coil which is composed of a capacitor and a coil, the capacitor creates a circuit with the primary and secondary coils. This paper discusses design method and several implementation alternatives for wireless energy transmission systems. It presents realization examples for these alternatives. Wireless energy transmission is investigated in numerous convergence applications due to its simplicity and advantages.

Analysis of Technology Convergence of 'Internet of Things' Patents by IPC Code Analysis (IPC 코드 분석에 의한 '사물인터넷(IoT)' 특허의 기술 융복합 분석)

  • Shim, Jae-ruen
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
    • /
    • v.9 no.3
    • /
    • pp.266-272
    • /
    • 2016
  • In this study, we analysed the technology convergence of Internet of Things(IoT) by International Patent Classification(IPC) code analysis. 163 patent applications in Korea are the subjects of this study. We confirmed that the most representative IPC code combinations between Main and Sub categories are G06Q 50/24-G06Q 50/22(6 cases), H04L 29/02-H04L 12/28(4 cases), G06F 15/16-G06F 3/048(3 cases), G06F 15/16-G06F 9/44(3 cases), and G06Q 50/22-G06Q 50/24(3 cases). The field of Health Care business have been prepared 9 patent applications by technology convergence between 'Health Care(G06Q 50/22)' and 'Patient Record Management(G06Q 50/24)'. Finally we also concluded that the core IPC code are G06F 15/16, G06Q 50/22, G06Q 50/24, and H04L 12/28 by the technology convergence interconnections analysis of IoT patent applications.

Properties of Deep Eutectic Solvents (DESs) and Their Applications (깊은 공융 용매 (DESs) 물성과 응용)

  • Seo, Ho Seong;Park, Byung Heung
    • Journal of Institute of Convergence Technology
    • /
    • v.5 no.2
    • /
    • pp.43-48
    • /
    • 2015
  • Deep eutectic solvents (DESs) are now broadly understood as a new kind of ionic liquid (IL) because they exhibit many characteristics and properties similar with ILs. The DESs made of quaternary ammonium salt blended with one of hydrogen bonding donor (HBD) compounds behave as ILs even at very low temperature. In this study, properties such as density, viscosity, surface tension, conductivity, and electrochemical behavior of DESs were reported and their applications were reviewed. Study on DESs has been drawn attention on application in metal finishing, but these solvents can be used in a variety of synthesis, and their potentials have been demonstrated in various areas. DESs are expected to offer applicability by extending the types of salts and hydrogen bond donor mixtures.

Parallel Algorithm for Matrix-Matrix Multiplication on the GPU (GPU 기반 행렬 곱셈 병렬처리 알고리즘)

  • Park, Sangkun
    • Journal of Institute of Convergence Technology
    • /
    • v.9 no.1
    • /
    • pp.1-6
    • /
    • 2019
  • Matrix multiplication is a fundamental mathematical operation that has numerous applications across most scientific fields. In this paper, we presents a parallel GPU computation algorithm for dense matrix-matrix multiplication using OpenGL compute shader, which can play a very important role as a fundamental building block for many high-performance computing applications. Experimental results on NVIDIA Quad 4000 show that the proposed algorithm runs about 208 times faster than previous CPU algorithm and achieves performance of 75 GFLOPS in single precision for dense matrices with matrix size 4,096. Such performance proves that our algorithm is practical for real applications.

Tiny Magnetic Robot Mechanism and Manipulation for Stent Transportation and Installation

  • Yu, Chang-Ho;Kim, Sung Hoon
    • Journal of Magnetics
    • /
    • v.22 no.1
    • /
    • pp.162-167
    • /
    • 2017
  • Magnetic spiral-type microrobots, which are driven by a rotating magnetic field, have excellent locomotive abilities, whereas their medical applications are limited in the terms of function, such as the ability to drill in blood vessels. In this study, we propose a new robot with superior applications using a magnetic spiral-type machine. The proposed robot can be applied to stent transportation and installation without a catheter. In particular, the robot can be applied to the cardiovascular system, cerebrovascular disease, and nonvascular stent applications depending on the robot size. The robot consists of two independent spiral-type machines and four magnets in total. We controlled directions of thrust force of the two machines, respectively, for active locomotion with a task. We conducted a preliminary validation of the proposed robot for stent transportation and installation through experimental analyses.