• 제목/요약/키워드: Partitioned matrix

검색결과 67건 처리시간 0.019초

Properties of Detection Matrix and Parallel Flats fraction for $3^n$ Search Design+

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
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    • 제13권2호
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    • pp.114-120
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    • 1984
  • A parallel flats fraction for the $3^n$ design is defined as union of flats ${t}At=c_i(mod 3)}, i=1,2,\cdots, f$ and is symbolically written as At=C where A is rank r. The A matrix partitions the effects into n+1 alias sets where $u=(3^{n-r}-1)/2. For each alias set the f flats produce an ACPM from which a detection matrix is constructed. The set of all possible parallel flats fraction C can be partitioned into equivalence classes. In this paper, we develop some properties of a detection matrix and C.

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발전기-무한모선계통의 A행열의 직접 계산법 : 여자계통을 고려한 경우 (Direct Calculation of A Matrix of Single Machine Connected to Infinite Bus : Including Excitation System)

  • 권세혁;김덕영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1989년도 하계종합학술대회 논문집
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    • pp.216-220
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    • 1989
  • Direct calculation algorithm for the elements of A matrix is suggested for a single machine connected to the infinite bus. Excitation system and power system stabilizer are included. When A matrix is partitioned into seven submatrices, we can identify the location of non-zero elements and formula for each element. No matrix inversion and multiplication are necessary.

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INEQUALITIES INVOLVING KHATRI-RAO PRODUCTS OF HERMITIAN MATRICES

  • Yang, Zhong-Peng;Zhang, Xian;Cao, Chong-Guang
    • Journal of applied mathematics & informatics
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    • 제9권1호
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    • pp.125-133
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    • 2002
  • Recently, Several inequalities Khatri-Rao Products of two four partitioned blocks positive definite real symmetry matrices are established by Liu in[Lin. Alg. Appl. 289(1999): 267-277]. We extend these results in two ways. First, the results are extended to two any partitioned blocks Hermitian matrices. Second, necessary and sufficient conditions under which these inequalities become equalities are presented.

An accelerated Levenberg-Marquardt algorithm for feedforward network

  • Kwak, Young-Tae
    • Journal of the Korean Data and Information Science Society
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    • 제23권5호
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    • pp.1027-1035
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    • 2012
  • This paper proposes a new Levenberg-Marquardt algorithm that is accelerated by adjusting a Jacobian matrix and a quasi-Hessian matrix. The proposed method partitions the Jacobian matrix into block matrices and employs the inverse of a partitioned matrix to find the inverse of the quasi-Hessian matrix. Our method can avoid expensive operations and save memory in calculating the inverse of the quasi-Hessian matrix. It can shorten the training time for fast convergence. In our results tested in a large application, we were able to save about 20% of the training time than other algorithms.

Number of Equivalence Classes of a Parallel Flats Fraction for the 3" Factorial Design

  • Um, Jung-Koog
    • Journal of the Korean Statistical Society
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    • 제10권
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    • pp.122-127
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    • 1981
  • A parallel flats fraction for the $3^n$ factorial is symbolically written as $At=C=(C_1 C_2 \cdots C_f)$ where C is a rxf matrix and A is rxn matrix with rank r. It is shown that the set of all possible parallel flats fraction C for a given A and given size can be partitioned into equivalence classes. The number of those classes are enumerated in general.

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AN ALGORITHMIC APPROACH TO THE MARKOV CHAIN WITH TRANSITION PROBABILITY MATRIX OF UPPER BLOCK-HESSENBERG FORM

  • Shin, Yang-Woo;Pearce, C.E.M.
    • Journal of applied mathematics & informatics
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    • 제5권2호
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    • pp.403-426
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    • 1998
  • We present an algorithm to find an approximation for the stationary distribution for the general ergodic spatially-inhomogeneous block-partitioned upper Hessenberg form. Our approximation makes use of an associated upper block-Hessenberg matrix which is spa-tially homogeneous except for a finite number of blocks. We treat the MAP/G/1 retrial queue and the retrial queue with two types of customer as specific instances and give some numerical examples. The numerical results suggest that our method is superior to the ordinary finite-truncation method.

발전기-무한모선계통의 동태안정도 해석시 A행렬의 구조 (On the Structure of A Matrix for Dynamic Stability Analysis of One Machine to the Infinite Bus)

  • 권세혁;송길영
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1989년도 하계종합학술대회 논문집
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    • pp.211-215
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    • 1989
  • The structure of A matrix of one machine connected to the infinite bus is described for a full model. The A matrix can be partitioned to submatrices which depend on the initial operating point and do not depend on it. When the dynamic properties for several different operating points are desired, those submatrices can be obtained through simple column operations. Furthermore, the elements of A matrix car be directly calculated from the manufacturer's data. RMS quantities of the state variables for the initial operating point are used. This approach can save the labor for calculating the elements of A matrix for the dynamic stability analysis.

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퍼지 클러스터링 알고리즘을 이용한 타이어 접지면 패턴의 분류 (Tire Tread Pattern Classification Using Fuzzy Clustering Algorithm)

  • 강윤관;정순원;배상욱;김진헌;박귀태
    • 한국지능시스템학회논문지
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    • 제5권2호
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    • pp.44-57
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    • 1995
  • 본논문에서는 GFI(Generalized Fuzzy Isodata)와 FI(Fuzzy Isodata) 알고리즘에 관한 이론을 고찰하고 이를 타이어 접지면 패턴 분류에 적용해 보았다. GFI 알고리즘은 FI 알고리즘의 일반화된 형태로서 분할된 군집에 대해서도 퍼지 분할 행렬(fuzzy partition matrix)을 고려해 다시 군집화(clustering)를 가능하게 하는 알고리즘이다. GFI 알고리즘을 사용하여 이진 트리를 구성함에 있어서 각 노드에서의 분할 여부, 즉 군잡화의 타당성(clustering validity) 점검 및 최종적인 이진 트리의 완성은 FDH(Fuzzy Divisve Hierarchical) 군집화알고리즘을 통해 이루어진다. 타이어 접지면에 대한 표준 특징량을 선정하거나 패턴 분류를 수행함에 있어서 이들 알고리즘은모두 우수한 성능을 가짐을 알 수 있었다. 패턴의 특징량으로는 전처리된 타이어 접지면 영상에 나타나는 윤곽선(edge)의 각도 성분을 선정하였으며 이렇게 선정된 특징량은 패턴의 특징을 잘 표현해 주는 유용한 정보를 가진 것으로 생각된다.

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Pseudo Jacket 행렬을 이용한 MIMO SVD Channel (Pseudo Jacket Matrix and Its MIMO SVD Channel)

  • 양재승;김정수;이문호
    • 한국인터넷방송통신학회논문지
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    • 제15권5호
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    • pp.39-49
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    • 2015
  • Jacket Matrices: Construction and Its Application for Fast Cooperative Wireless signal Processing[27]에 소개된 Jacket 행렬로부터 일반화된 의사 Jacket 행렬에 대한 특성과 생성에 관한 정리가 발표됐다. 본 논문에서는 MIMO 채널과 같이 $2{\times}4$, $3{\times}6$ 같은 비정방 행렬에서의 의사 Jacket 역행렬에 대한 예제를 제안했다. 또한 의사 MIMO 특이값 분해 (SVD, Singular Value Decomposition) channel을 추론하여 적용하였으며 안테나 어레이를 분할하여 추정하는 채널을 기반으로 SVD를 활용하는데 적용하였다. 이것은 MIMO 채널 및 고유값 분해 (EVD, Eigen Value decomposition) 등에 사용할 수 있다.

자기조정 퍼지제어기에 의한 전력계통 안정화에 관한 연구 (Stabilization of Power System using Self Tuning Fuzzy controller)

  • 정형환;정동일;주석민
    • 한국지능시스템학회논문지
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    • 제5권2호
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    • pp.58-69
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    • 1995
  • 본 논문에서는 자기조정 퍼지제어기의 한 설계기법을 제안하고, 이를 전력계통 안정화에 적용하였다. 제안된 퍼지제어기의 파라미터는 최급강하법에 의하여 멤버쉽 함수의 중심치와 폭이 최적인 값으로 자지고정 되어진다. 이를 전력계통에 적용한 결과 제안된 제어기법이 종래의 제어기법보다 응답특성이 우수함을 보였다.

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