• Title/Summary/Keyword: Column space

Search Result 352, Processing Time 0.029 seconds

Linear operators that preserve spanning column ranks of nonnegative matrices

  • Hwang, Suk-Geun;Kim, Si-Ju;Song, Seok-Zun
    • Journal of the Korean Mathematical Society
    • /
    • v.31 no.4
    • /
    • pp.645-657
    • /
    • 1994
  • If S is a semiring of nonnegative reals, which linear operators T on the space of $m \times n$ matrices over S preserve the column rank of each matrix\ulcorner Evidently if P and Q are invertible matrices whose inverses have entries in S, then $T : X \longrightarrow PXQ$ is a column rank preserving, linear operator. Beasley and Song obtained some characterizations of column rank preserving linear operators on the space of $m \times n$ matrices over $Z_+$, the semiring of nonnegative integers in [1] and over the binary Boolean algebra in [7] and [8]. In [4], Beasley, Gregory and Pullman obtained characterizations of semiring rank-1 matrices and semiring rank preserving operators over certain semirings of the nonnegative reals. We considers over certain semirings of the nonnegative reals. We consider some results in [4] in view of a certain column rank instead of semiring rank.

  • PDF

Analytical Study of HAT Joint between PHC Pile and Steel Tube Column (강재기둥과 PHC 파일을 연결하는 반구형 접합부(HAT Joint)의 유한요소 해석 PART II : 각형강관기둥)

  • Oh, Jin-Tak;Lee, Yeun-Seung;Kim, Sang-Bong;Ju, Young-Kyu
    • Journal of Korean Association for Spatial Structures
    • /
    • v.15 no.1
    • /
    • pp.111-118
    • /
    • 2015
  • In Part I, we disccussed of joint between PHC pile and steel column in foundation of large space structures, one prototype of a joint of PHC pile to steel pipe column was suggested on the basis of analytical studies. In this paper, I explain the Joint of PHC pile to steel tube column and more detail of analysis.

Analytical Study of HAT Joint between PHC Pile and Steel Pipe Column (강재기둥과 PHC 파일을 연결하는 반구형 접합부(HAT Joint)의 유한요소 해석 PART I : 원형강관기둥)

  • Oh, Jin-Tak;Lee, Yeun-Seung;Kim, Sang-Bong;Ju, Young-Kyu
    • Journal of Korean Association for Spatial Structures
    • /
    • v.15 no.1
    • /
    • pp.103-110
    • /
    • 2015
  • To overcome disadvantages of usual spread foundation in large space structure, some prototypes of a joint of the PHC pile to steel pipe column that directly connects a column to a PHC pile are analytically studied. With the consideration of strength requirement and stress concentration of joint of the PHC pile to column, we suggest the most appropriate one.

A dynamic analysis for constrained multibody systems using pseudo-inverse and projection matrix (준역행렬과 투영행렬을 이용한 구속 다물체계의 동역학 해석)

  • Kim, Oe-Jo;Yoo, Wan-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.22 no.1
    • /
    • pp.170-176
    • /
    • 1998
  • In this paper, the column space and null space of the Jacobian matrix were obtained by using the pseudo-inverse method and projection matrix. The equations of motion of the system were replaced by independent acceleration components using the null space matrix. The proposed method has the following advantages. (1) It is simple to derive the null space. (2) The efficiency is improved by getting rid of constrained force terms. (3) Neither null space updating nor coordinate partitioning method is required. The suggested algorithm is applied to a three-dimensional vehicle model to show the efficiency.

Spanning column rank 1 spaces of nonnegative matrices

  • Song, Seok-Zun;Cheong, Gi-Sang;Lee, Gwang-Yeon
    • Journal of the Korean Mathematical Society
    • /
    • v.32 no.4
    • /
    • pp.849-856
    • /
    • 1995
  • There are some papers on structure theorems for the spaces of matrices over certain semirings. Beasley, Gregory and Pullman [1] obtained characterizations of semiring rank 1 matrices over certain semirings of the nonnegative reals. Beasley and Pullman [2] also obtained the structure theorems of Boolean rank 1 spaces. Since the semiring rank of a matrix differs from the column rank of it in general, we consider a structure theorem for semiring rank in [1] in view of column rank.

  • PDF

$T_{b}$-$N_{HI}$ CORRELATION IN THE GALACTIC PLANE

  • Kim, Yong-Gi
    • Journal of Astronomy and Space Sciences
    • /
    • v.17 no.1
    • /
    • pp.33-38
    • /
    • 2000
  • Synchrotron emission at 408 MHz and HI column density have been used to find an evidence for the relationship between the Galactic magnetic field and the gas density. The observational data of the brightness temperature and HI column density, $T_b(408)\;and \;N_{HI}$, near the galactic plane between galactic longitudes $l=62^{circ}\;and\;l=250^{\circ}$ show a clear linear correlation of $T_b(408)=A(l,b)+B\;N_{HI}$, where A(l, b)is a background and forground radiation at the galactic coordinate. We found $(1.4{pm}0.3)10^{-21}$ for the slope B, which describes the strength of the syncrotron radiation from the HI cloud, and agrees with the value for the MIlky Way obtained by Beuermann et al. (1985). We conclude therefore that a well defined nonthermal corelates with the HI column density originating from this HI cloud.

  • PDF

An Image Segmentation Algorithm using the Shape Space Model (모양공간 모델을 이용한 영상분할 알고리즘)

  • 김대희;안충현;호요성
    • Journal of the Institute of Electronics Engineers of Korea SP
    • /
    • v.41 no.2
    • /
    • pp.41-50
    • /
    • 2004
  • Since the MPEG-4 visual standard enables content-based functionalities, it is necessary to extract video objects from video sequences. Segmentation algorithms can largely be classified into two different categories: automatic segmentation and user-assisted segmentation. In this paper, we propose a new user-assisted image segmentation method based on the active contour. If we define a shape space as a set of all possible variations from the initial curve and we assume that the shape space is linear, it can be decomposed into the column space and the left null space of the shape matrix. In the proposed method, the shape space vector in the column space describes changes from the initial curve to the imaginary feature curve, and a dynamic graph search algorithm describes the detailed shape of the object in the left null space. Since we employ the shape matrix and the SUSAN operator to outline object boundaries, the proposed algorithm can ignore unwanted feature points generated by low-level image processing operations and is, therefore, applicable to images of complex background. We can also compensate for limitations of the shape matrix with a dynamic graph search algorithm.

Solution Space of Inverse Differential Kinematics (역미분기구학의 해 공간)

  • Kang, Chul-Goo
    • The Journal of Korea Robotics Society
    • /
    • v.10 no.4
    • /
    • pp.230-244
    • /
    • 2015
  • Continuous-path motion control such as resolved motion rate control requires online solving of the inverse differential kinematics for a robot. However, the solution space of the inverse differential kinematics related to Jacobian J is not well-established. In this paper, the solution space of inverse differential kinematics is analyzed through categorization of mapping conditions between joint velocities and end-effector velocity of a robot. If end-effector velocity is within the column space of J, the solution or the minimum norm solution is obtained. If it is not within the column space of J, an approximate solution by least-squares is obtained. Moreover, this paper introduces an improved mapping diagram showing orthogonality and mapping clearly between subspaces, and concrete examples numerically showing the concept of several subspaces. Finally, a solver and graphics user interface (GUI) for inverse differential kinematics are developed using MATLAB, and the solution of inverse differential kinematics using the GUI is demonstrated for a vertically articulated robot.