• 대한수학회논문집
• /
• 제29권2호
• /
• pp.227-237
• /
• 2014

For an $m{\times}n$ nonnegative integral matrix A, a generalized inverse of A is an $n{\times}m$ nonnegative integral matrix G satisfying AGA = A. In this paper, we characterize nonnegative integral matrices having generalized inverses using the structure of nonnegative integral idempotent matrices. We also define a space decomposition of a nonnegative integral matrix, and prove that a nonnegative integral matrix has a generalized inverse if and only if it has a space decomposition. Using this decomposition, we characterize nonnegative integral matrices having reflexive generalized inverses. And we obtain conditions to have various types of generalized inverses.

• 대한수학회보
• /
• 제49권3호
• /
• pp.589-599
• /
• 2012

An element of a ring is called strongly nil clean provided that it can be written as the sum of an idempotent and a nilpotent element that commute. We characterize, in this article, the strongly nil cleanness of $2{\times}2$ and $3{\times}3$ matrices over $R[x]/(x^2-1)$ where $R$ is a commutative local ring with characteristic 2. Matrix decompositions over fields are derived as special cases.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제3권1호
• /
• pp.43-53
• /
• 1999

A real $m{\times}n$ matrix A is called an L-matrix if every matrix in its qualitative class has linearly independent rows. Since the number of the sign pattern matrices of the given size is finite, we can list all patterns lexicographically. In [2], a necessary and sufficient condition for a matrix to be an L-matrix was given. We presented an algorithm which decides whether the given matrix is an L-matrix or not. In this paper, we develope an algorithm and C-program which will determine whether a given matrix is an L-matrix or not, or an SNS-matrix or not. In addition, we have extended our algorithm to be able to classify sign-pattern matrices, and to find barely L-matrices from a given matrix and to list all $m{\times}n$ L-matrices.

• 대한수학회보
• /
• 제46권3호
• /
• pp.511-519
• /
• 2009

A matrix $P{\in}\mathbb{C}^{n{\times}n}$ is called a generalized reflection matrix if $P^*$ = P and $P^2$ = I. An $n{\times}n$ complex matrix A is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix P if A = PAP (A = -PAP). It is well-known that the reflexive and anti-reflexive matrices with respect to the generalized reflection matrix P have many special properties and widely used in engineering and scientific computations. In this paper, we give new necessary and sufficient conditions for the existence of the reflexive (anti-reflexive) solutions to the linear matrix equation AXB + CY D = E and derive representation of the general reflexive (anti-reflexive) solutions to this matrix equation. By using the obtained results, we investigate the reflexive (anti-reflexive) solutions of some special cases of this matrix equation.

• 대한전자공학회:학술대회논문집
• /
• 대한전자공학회 2002년도 하계종합학술대회 논문집(2)
• /
• pp.257-260
• /
• 2002

This paper describes the pixel of AMOLED(act ive matrix organic light emitting diode) driving circuit by poly-sl technology. The area per pixel is 278um$\times$278um in 120$\times$160(2.2 inch) Driving the OLEDS with active matrix leads to the lower voltage operation, the lower peak pixel currents and the display with much greater efficiency and brightness The role of the active matrix is to provide a constant current throughout the entire frame time and is eliminating the high currents encountered In the passive matrix approach, This design can support the high resolutions expected by the consumer because the current variation specification is norestricted. The pixel has been designed driving TFT threshold voltage cancellation circuit and wide aperture ratio circuit that communizes 4 pixel. The test simulation results and layout are 11% per threshold-current var Eat ion and 12.5% the aperture ratio of increase.

• 대한수학회보
• /
• 제48권4호
• /
• pp.759-767
• /
• 2011

An element of a ring is called strongly nil clean provided that it can be written as the sum of an idempotent and a nilpotent element that commute. A ring is strongly nil clean in case each of its elements is strongly nil clean. We investigate, in this article, the strongly nil cleanness of 2${\times}$2 matrices over local rings. For commutative local rings, we characterize strongly nil cleanness in terms of solvability of quadratic equations. The strongly nil cleanness of a single triangular matrix is studied as well.

• 한국통신학회논문지
• /
• 제25권10A호
• /
• pp.1560-1565
• /
• 2000

Over an additive abelian group G of order g and for a given positive integer λ, a generalized Hadamard matrix GF(g,λ) is defined as a gλ$\times$gλ matrix [h(i,j)] where 1$\leq$i$\leq$gλ,1$\leq$j$\leq$gλ, such that every element of G appears exactly λ times in the list h(i$_1$,1)-h(i$_2$,1), h(i$_1$,2)-h(i$_2$,2),...,h(i$_1$,gλ)-h(i$_2$, gλ) for any i$\neq$j. In this paper, we propose a new method of expanding a GH(\ulcorner,λ$_1$) = B = \ulcorner over G by replacing each of its m-tuple \ulcorner with \ulcorner GH(g,λ$_2$) where m=gλ$_2$. We may use \ulcornerλ$_1$(not necessarily all distinct) GH(g,λ$_2$)'s for the substitution and the resulting matrix is defined over the group of order g.

• 한국전자파학회논문지
• /
• 제26권10호
• /
• pp.876-884
• /
• 2015

본 논문에서는 5세대 이동통신을 위한 28 GHz 주파수 대역에서 스위치 빔포밍 안테나 시스템을 설계하였다. 본 빔포밍 시스템은 버틀러 매트릭스를 사용하였으며, 이는 다른 4 방향의 빔 조향을 할 수 있도록 각 출력단에 등간격의 위상을 생성한다. 배열 안테나는 28 GHz 주파수 대역에서 원하는 4개의 방향으로 조향할 수 있도록 설계하였다. 설계한 버틀러 매트릭스는 커플러와 지연선로로 구성되며, 그 동작에 대하여 설명하였다. 본 안테나 시스템은 유전율이 3이고, 5 mil의 높이를 가진 RO3003 기판을 이용하여 설계하였다. 설계한 버틀러 매트릭스의 사이즈는 $20.3{\times}13.0mm^2$이고, 배열 안테나의 사이즈는 $21.2{\times}19.9mm^2$이다. 본 시스템은 $-34^{\circ}{\sim}+33^{\circ}$까지 조향을 할 수 있고, Sidelobe level(SLL)의 최소값은 12.9 dB이다.

• East Asian mathematical journal
• /
• 제29권3호
• /
• pp.327-335
• /
• 2013

In this paper we consider the quadratic matrix equation which can be defined by $$Q(X)=AX^2+BX+C=0$$, where X is a $n{\times}n$ unknown complex matrix, and A, B and C are $n{\times}n$ given matrices with complex elements. We first introduce a couple of condition numbers of the equation Q(X) and present normwise condition numbers. Finally, we compare the results and some numerical experiments are given.

• 응용통계연구
• /
• 제26권6호
• /
• pp.999-1007
• /
• 2013

이 연구는 다음 몇 가지 경우에 적용 가능한 '움직이는 데이터 그림(moving data pictures)'을 제안 한다: 1) 한국어 텍스트의 단어 구름(word cloud), 2) n ${\times}$ p 행렬의 시각화(matrix visualization), 3) p ${\times}$ p 산점도 행렬의 동영상 버전, 4) k개 개체 군집의 동적 시각화 등. 이들 기법은 데이터에 내재된 숨은 정보와 시각적 아름다움을 드러내고 정보 소비자들의 흥미를 점화할 수 있다.