• 제목/요약/키워드: Matrix functions

검색결과 739건 처리시간 0.026초

Rotation-Free Transformation of the Coupling Matrix with Genetic Algorithm-Error Minimizing Pertaining Transfer Functions

  • Kahng, Sungtek
    • Journal of electromagnetic engineering and science
    • /
    • 제4권3호
    • /
    • pp.102-106
    • /
    • 2004
  • A novel Genetic Algorithm(GA)-based method is suggested to transform a coupling matrix to another, without the procedure of Matrix Rotation. This can remove tedious work like pivoting and deciding rotation angles needed for each of the iterations. The error function for the GA is simply formed and used as part of error minimization for obtaining the solution. An 8th order dual-mode elliptic integral function response filter is taken as an example to validate the present method.

ON COMPUTATION OF MATRIX LOGARITHM

  • Sherif, Nagwa;Morsy, Ehab
    • Journal of applied mathematics & informatics
    • /
    • 제27권1_2호
    • /
    • pp.105-121
    • /
    • 2009
  • In this paper we will be interested in characterizing and computing matrices $X\;{\in}\;C^{n{\times}n}$ that satisfy $e^X$ = A, that is logarithms of A. The study in this work goes through two lines. The first is concerned with a theoretical study of the solution set, S(A), of $e^X$ = A. Along the second line computational approaches are considered to compute the principal logarithm of A, LogA.

  • PDF

COMPUTATION OF HANKEL MATRICES IN TERMS OF CLASSICAL KERNEL FUNCTIONS IN POTENTIAL THEORY

  • Chung, Young-Bok
    • 대한수학회지
    • /
    • 제57권4호
    • /
    • pp.973-986
    • /
    • 2020
  • In this paper, we compute the Hankel matrix representation of the Hankel operator on the Hardy space of a general bounded domain with respect to special orthonormal bases for the Hardy space and its orthogonal complement. Moreover we obtain the compact form of the Hankel matrix for the unit disc case with respect to these bases. One can see that the Hankel matrix generated by this computation turns out to be a generalization of the case of the unit disc from the single simply connected domain to multiply connected domains with much diversities of bases.

추이적 행렬을 이용한 유연생산시스템의 순환 스케쥴링 분석 (A Study of Cyclic Scheduling Analysis in FMS Based on the Transitive Matrix)

  • 이종근
    • 한국시뮬레이션학회논문지
    • /
    • 제11권4호
    • /
    • pp.57-68
    • /
    • 2002
  • The analysis of the cyclic scheduling problem in FMS using the transitive matrix has been proposed. Since the transitive matrix may explain all the relations between the places and transitions, we propose an algorithm to get good solution after slicing off some subnets from the original net based on machines operations. For analyzing the schedule problem, we considered two time functions such as produce time and waiting time using the P-invariant. In addition, we are shown the effectiveness of proposed algorithm after comparing with unfolding algorithms.

  • PDF

LCD용 칼라필터의 Black Matrix 표면에 발생하는 잔사의 정량화 (Quantification of the Scum on the Black Matrix Surface of Color Filter for LCD)

  • 구영모;이종서;이충훈
    • 분석과학
    • /
    • 제12권5호
    • /
    • pp.415-420
    • /
    • 1999
  • 칼라필터의 Black Matrix (BM)의 표면에 발생하는 잔사의 양을 Atomic Force Microscopy (AFM) 측정 결과에 의해 얻어진 히스토그램을 사용하여 정량화하였다. 히스토그램을 free BM 표면(1)과 잔사(2)에 해당하는 두 개의 Gaussian 함수로 분리하고 각 분포의 면적($a_1$, $a_2$)을 계산하여, 잔사가 차지하는 면적비($a_2/(a_1+a_2)$)를 계산하였다. 또한, free BM 표면에 대한 Gaussian 함수로부터 free BM 표면내에 또 다른 잔사가 존재하고 있음을 알 수 있었다. 이것의 경우에는 잔사의 양을 정확하게 수치적으로 정량화는 할 수 없지만, 분포의 평균값과 표준 편차로부터 정성적인 결과를 얻을 수 있다.

  • PDF

Haar 웨이블릿을 이용한 선형시스템의 상태해석에 관한 연구 (Study for State Analysis of Linear Systems using Haar Wavelet)

  • 김범수;심일주
    • 제어로봇시스템학회논문지
    • /
    • 제14권10호
    • /
    • pp.977-982
    • /
    • 2008
  • In this paper Haar functions are developed to approximate the solutions of continuous time linear system. Properties of Haar functions are first presented, and an explicit expression for the inverse of the Haar operational matrix is presented. Using the inverse of the Haar operational matrix the full order Stein equation should be solved in terms of the solutions of pure algebraic matrix equations, which reduces the computation time remarkably. Finally a numerical example is illustrated to demonstrate the validity of the proposed algorithm.

취성기지 복합재료에서 연성 단섬유의 함유량 및 형상에 관한 보강특성 (Reinforcing Characteristics on Volume and Shape of Ductile Short-Fiber in Brittle Matrix Composites)

  • 신익재;이동주
    • 대한기계학회논문집A
    • /
    • 제24권1호
    • /
    • pp.250-258
    • /
    • 2000
  • The reinforcing effects of ductile short-fiber reinforced brittle matrix composites are studied by, measuring flexural strength, fracture toughness and impact energy as functions of fiber volume fraction and length. The parameters of fracture mechanics, K and J are applied to assess fracture toughness and bridging stress. It is found that fracture toughness is greatly, influenced by the bridging stress ill which fiber pull-out is occur. For the reinforcing effects as functions of fiber volume fraction($V_f$ = 1, 2, 3 %) and length(L = 3, 6. 10cm), the flexural strength is maximum at $V_f$ = 1% and both fracture toughness.

리야프노프 행렬 방정식의 해를 이용한 스위칭 선형시스템의 안정화 (Stability of Switched Linear Systems Using Upper Bounds of Solutions of Lyapunov Matrix Equations)

  • 염동회;최진영
    • 대한전기학회:학술대회논문집
    • /
    • 대한전기학회 2005년도 학술대회 논문집 정보 및 제어부문
    • /
    • pp.20-22
    • /
    • 2005
  • In this paper, we propose a novel stability criterion for switched linear systems. The proposed method employs the results on the upper bound of the solution of LME(Lyapunov Matrix Equation) and on the stability of hybrid system. The former guarantees the existence of Lyapunov-like energy functions and the latter shows that the stability of switched linear systems by using these energy functions. The proposed criterion releases the restriction on the stability of switched linear systems comparing with the existing methods and provides us with easy implementation way for pole assignment.

  • PDF

사영에 의한 모수모형의 추정가능함수 (Estimable functions of fixed-effects model by projections)

  • 최재성
    • Journal of the Korean Data and Information Science Society
    • /
    • 제23권3호
    • /
    • pp.487-494
    • /
    • 2012
  • 본 논문은 고정효과모형의 모수추정과 관련된 추정가능함수를 다루고 있다. 고정효과모형에서 추정가능한 모수들의 함수를 구하기 위한 방법으로 가우스-조르단 방법을 이용하고 있다. 이 방법으로 구해진 추정가능함수의 일반형을 이용하여 추정가능함수들의 한 기저집합을 구성하는 문제를 다루고 있다. 또한, 추정가능함수들로 구성된 한 기저집합을 모수벡터로 갖는 모형은 완전계수의 열행렬을 모형행렬로 갖는 모형으로 효과모형과 동치인 모형임을 보여주고 있다. 두 모형에서의 사영행렬들은 동일공간으로의 사영을 나타내므로 총변동량은 변함이 없으나 사영행렬에 따른 자유도 1인 고유벡터로의 변동량은 달라질 수 있음을 논의하고 있다.

Tailoring ECC for Special Attributes: A Review

  • Li, Victor C.
    • International Journal of Concrete Structures and Materials
    • /
    • 제6권3호
    • /
    • pp.135-144
    • /
    • 2012
  • This article reviews the tailoring of engineered cementitious composites (ECC), a type of high performance fiber reinforced cementitious composites with a theoretical design basis, for special attributes or functions. The design basis, a set of analytic tools built on micromechanics, provides guidelines for tailoring of fiber, matrix, and fiber/matrix interfaces to attain tensile ductility in ECC. If conditions for controlled multiple cracking are disturbed by the need to introduce ingredients to attain a special attribute or function, micromechanics then serve as a systematic and rational means to efficiently recover composite tensile ductility. Three examples of ECCs with attributes of lightweight, high early strength, and self-healing functions, are used to illustrate these tailoring concepts. The fundamental approach, however, is broadly applicable to a wide variety of ECCs designed for targeted fresh and/or hardened characteristics required for specific applications.