• 제목/요약/키워드: Linear Mapping

검색결과 394건 처리시간 0.033초

스펙트럼 적응 사상을 이용한 선형시스템의 불량조건 완화기법 (An alleviant technique for solving III-Conditioned Linear Systems Using Spectral Adaptive Mapping)

  • 전재웅;조기선;박종배;신중린
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 A
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    • pp.110-112
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    • 2003
  • This paper presents an alleviant technique for solving ill-conditioned linear systems using spectral adaptive mapping, which is based on spectral mapping theorem. The conventional approaches to solve the ill-conditioned linear systems are divided into reformulation and alleviant technique. So far, the alleviant technique is evaluated the most effective one. In this paper, an adaptive mapping of spectrum is adopted to alleviate the condition number of ill-conditioned linear systems. A shift constant, which is a dominant factor of the spectral adaptive mapping that are proposed, is assessed by the system spectrum. The proposed spectral adaptive mapping technique is tested to demonstrated the validation on several size Hilbert matrices and small scale power systems, which are provide the promising results.

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선형분수사상을 이용한 3차원 균열해석 (Three-dimensional crack analysis by fractional linear mapping)

  • 안득만
    • 대한기계학회논문집
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    • 제19권1호
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    • pp.61-78
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    • 1995
  • In this study the method of analysis for three-dimensional plane crack problem by fractional linear mapping is given. Using this method we can obtain the exact solutions of significantly different configurations of the crack. In the example image crack configurations by mapping of elliptic crack are illustrated. And the stress intensity factors along the image crack tips are calculated.

LINEAR MAPPINGS, QUADRATIC MAPPINGS AND CUBIC MAPPINGS IN NORMED SPACES

  • Park, Chun-Gil;Wee, Hee-Jung
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제10권3호
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    • pp.185-192
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    • 2003
  • It is shown that every almost linear mapping $h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$ of a complex normed space X to a complex normed space Y is a linen. mapping when h(rx) = rh(x) (r > 0,$r\;{\neq}\;1$$x{\;}{\in}{\;}X$, that every almost quadratic mapping $h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$ of a complex normed space X to a complex normed space Y is a quadratic mapping when $h(rx){\;}={\;}r^2h(x){\;}(r{\;}>{\;}0,r\;{\neq}\;1)$ holds for all $x{\;}{\in}{\;}X$, and that every almost cubic mapping $h{\;}:{\;}X{\;}{\rightarrow}{\;}Y$ of a complex normed space X to a complex normed space Y is a cubic mapping when $h(rx){\;}={\;}r^3h(x){\;}(r{\;}>{\;}0,r\;{\neq}\;1)$ holds for all $x{\;}{\in}{\;}X$.

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Piecewise Linear 비용함수의 최소화를 위한 가상 네트워크 매핑 알고리즘 (Virtual Network Mapping Algorithm for Minimizing Piecewise Linear Cost Function)

  • 평찬규;백승준
    • 한국통신학회논문지
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    • 제41권6호
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    • pp.672-677
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    • 2016
  • 인터넷의 발전은 네트워크 기술과 응용의 확장적 배치와 더불어 성공적으로 고무되어 왔다. 하지만, 요즘에는 인터넷의 사용은 심각한 트래픽 과부하를 야기 시킨다. 따라서, 우리는 효율적인 자원 할당을 위해 네트워크 가상화의 지속적인 연구와 발전이 필요하다. 본 논문은 Piecewise Linear 비용함수를 이용한 비용 최소화 가상 네트워크 매핑 알고리즘을 제안 한다. 노드 매핑에는 선형 프로그래밍을 이용한 알고리즘과 D-VINE을 이용하였고, 링크 매핑에는 선형 프로그래밍 솔루션을 기반으로 최단 경로 알고리즘을 이용하였다. 이와 같은 방법으로 네트워크상에서 Linear와 Tree 구조로 형성된 VN request의 도착률에 따른 평균 비용을 ViNEYard와 비교 분석하였다. 시뮬레이션 구현을 통해 우리의 알고리즘이 ViNEYard 을 사용할 때 보다 발생하는 평균 비용이 낮음을 확인할 수 있었다.

Presentation of a Novel E-Core Transverse-Flux Permanent Magnet Linear Motor and Its Magnetic Field Analysis Based on Schwarz-Christoffel Mapping Method

  • Fu, Dong-Shan;Xu, Yan-Liang
    • Journal of Electrical Engineering and Technology
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    • 제12권5호
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    • pp.1963-1969
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    • 2017
  • In order to overcome the manufacturing difficulty of the transverse-flux permanent magnet linear motor (TFPMLM) and enhance its performance much better, a novel TFPMLM with E-core and 3 dimension (3D) magnetic structures is proposed in this paper. Firstly, its basic structure and operating principle are presented. Then the equivalent 2D configuration of the TFPMLM is transformed, so that the Schwarz-Christoffel (SC) mapping method can be used to analyze the motor. Furthermore, the air gap flux density distribution is solved by SC mapping method, based on which, the EMF waveform, no-load cogging force waveform and load force waveform are obtained. Finally, the prototyped TLPMLM is manufactured and the results are obtained from the experiment and 3D FEM, respectively, which are used to compare with those from SC mapping method.

ON A CHARACTERIZATION OF LINEAR OPERATORS

  • Jun, Kil-Woung;Lee, Yang-Hi
    • 대한수학회보
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    • 제38권3호
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    • pp.435-441
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    • 2001
  • We obtain a characterization of linear operators on vector spaces and homomorphisms on algebras applying the stability properties of functional equations.

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POSITIVE LINEAR OPERATORS IN C*-ALGEBRAS

  • Park, Choon-Kil;An, Jong-Su
    • 대한수학회보
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    • 제46권5호
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    • pp.1031-1040
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    • 2009
  • It is shown that every almost positive linear mapping h : $\mathcal{A}\rightarrow\mathcal{B}$ of a Banach *-algebra $\mathcal{A}$ to a Banach *-algebra $\mathcal{B}$ is a positive linear operator when h(rx) = rh(x) (r > 1) holds for all $x\in\mathcal{A}$, and that every almost linear mapping h : $\mathcal{A}\rightarrow\mathcal{B}$ of a unital C*-algebra $\mathcal{A}$ to a unital C*-algebra $\mathcal{B}$ is a positive linear operator when h($2^nu*y$) = h($2^nu$)*h(y) holds for all unitaries $u\in \mathcal{A}$, all $y \in \mathcal{A}$, and all n = 0, 1, 2, ..., by using the Hyers-Ulam-Rassias stability of functional equations. Under a more weak condition than the condition as given above, we prove that every almost linear mapping h : $\mathcal{A}\rightarrow\mathcal{B}$ of a unital C*-algebra $\mathcal{A}$ A to a unital C*-algebra $\mathcal{B}$ is a positive linear operator. It is applied to investigate states, center states and center-valued traces.

Patch based Semi-supervised Linear Regression for Face Recognition

  • Ding, Yuhua;Liu, Fan;Rui, Ting;Tang, Zhenmin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제13권8호
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    • pp.3962-3980
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    • 2019
  • To deal with single sample face recognition, this paper presents a patch based semi-supervised linear regression (PSLR) algorithm, which draws facial variation information from unlabeled samples. Each facial image is divided into overlapped patches, and a regression model with mapping matrix will be constructed on each patch. Then, we adjust these matrices by mapping unlabeled patches to $[1,1,{\cdots},1]^T$. The solutions of all the mapping matrices are integrated into an overall objective function, which uses ${\ell}_{2,1}$-norm minimization constraints to improve discrimination ability of mapping matrices and reduce the impact of noise. After mapping matrices are computed, we adopt majority-voting strategy to classify the probe samples. To further learn the discrimination information between probe samples and obtain more robust mapping matrices, we also propose a multistage PSLR (MPSLR) algorithm, which iteratively updates the training dataset by adding those reliably labeled probe samples into it. The effectiveness of our approaches is evaluated using three public facial databases. Experimental results prove that our approaches are robust to illumination, expression and occlusion.

Rational Function Model Generation for CCD Linear Images and its Application in JX4 DPW

  • Zhao, Liping;Wang, Wei;Liu, Fengde;Li, Jian
    • 대한원격탐사학회:학술대회논문집
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    • 대한원격탐사학회 2003년도 Proceedings of ACRS 2003 ISRS
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    • pp.387-389
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    • 2003
  • Rational function model (RFM) is a universal sensor model for remote sensing image restitution. It is able to substitute for models of all known sensors. In this paper, RFM generation by CCD linear image models is described in detail. A principle of RFM-based 3D reconstruction and its implementation in JX4 DPW is also described. Experiments using IKONOS and SPOT5 images are carried out on JX4 DPW. Results show that RFM generated is feasible for photogrammetric restitution of CCD linear images.

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