• Title/Summary/Keyword: MATRIX 27

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MATRIX TRANSFORMATIONS AND COMPACT OPERATORS ON THE BINOMIAL SEQUENCE SPACES

  • BISGIN, Mustafa Cemil
    • Korean Journal of Mathematics
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    • v.27 no.4
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    • pp.949-968
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    • 2019
  • In this work, we characterize some matrix classes concerning the Binomial sequence spaces br,s and br,sp, where 1 ≤ p < ∞. Moreover, by using the notion of Hausdorff measure of noncompactness, we characterize the class of compact matrix operators from br,s0, br,sc and br,s into c0, c and ℓ, respectively.

CANONICAL FORM OF AN TRANSITIVE INTUITIONISTIC FUZZY MATRICES

  • LEE, HONG-YOUL;JEONG, NAE-GYEONG
    • Honam Mathematical Journal
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    • v.27 no.4
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    • pp.543-550
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    • 2005
  • Some properties of a transitive fuzzy matrix are examined and the canonical form of the transitive fuzzy matrix is given using the properties. As a special case an open problem concerning idempotent matrices is solved. Thus we have the same result in a intuitionistic fuzzy matrix theory. In our results a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix play an important role. We decompose a transitive intuitionistic fuzzy matrix into sum of a nilpotent intuitionistic matrix and a symmetric intuitionistic matrix. Then we obtain a canonical form of the transitive intuitionistic fuzzy matrix.

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THE CANONICAL FORM OF INVOLUTARY FUZZY MATRICES

  • Kim, Chang Il;Park, Se Won
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.4
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    • pp.615-624
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    • 2014
  • We study special types of matrices. The involutary fuzzy matrices are important in various applications and have many interesting properties. Using the graphical method, we have the zero patterns of involutary fuzzy matrix, that is, involutary Boolean matrices. And we give the construction of all involutary fuzzy matrices for some dimensions and suggest the canonical form of involutary fuzzy matrix.

VECTOR GENERATORS OF THE REAL CLIFFORD ALGEBRA Cℓ0,n

  • Song, Youngkwon;Lee, Doohann
    • Journal of the Chungcheong Mathematical Society
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    • v.27 no.4
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    • pp.571-579
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    • 2014
  • In this paper, we present new vector generators of a matrix subalgebra $L_{0,n}$, which is isomorphic to the Clifford algebra $C{\ell}_{0,n}$, and we obtain the matrix form of inverse of a vector in $L_{0,n}$. Moreover, we consider the solution of a linear equation $xg_2=g_2x$, where $g_2$ is a vector generator of $L_{0,n}$.

ON AUGMENTED LAGRANGIAN METHODS OF MULTIPLIERS AND ALTERNATING DIRECTION METHODS OF MULTIPLIERS FOR MATRIX OPTIMIZATION PROBLEMS

  • Gue Myung, Lee;Jae Hyoung, Lee
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.4
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    • pp.869-879
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    • 2022
  • In this paper, we consider matrix optimization problems. We investigate augmented Lagrangian methods of multipliers and alternating direction methods of multipliers for the problems. Following the proofs of Eckstein [3], and Eckstein and Yao [5], we prove convergence theorems for augmented Lagrangian methods of multipliers and alternating direction methods of multipliers for the problems.

The Strength Properties of Metal Matrix Composites by Binder Additives (금속기복합재료의 바인더 첨가제에 따른 강도 특성)

  • Park, Won-Jo;Huh, Sun-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.7
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    • pp.1051-1057
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    • 2003
  • This study is about controlled impurities, which make metal alloys, especially AC4CH alloy that is made by restraining 0.2% Fe and Aluminum to make a matrix material. A metal matrix composite is produced using the squeeze casting method. The first step in the squeeze casting method is to add some organic binder including aluminum borate whisker into the matrix. After the fabrication of a metal matrix composite, each is individually appended to an inanimate binder such as SiO$_2$, Al$_2$O$_3$, and TiO$_2$. Through experiments the mechanical property changes were investigated between the metal matrix composite and AC4CH alloy. This study proves the superiority of the mechanical property of a metal matrix composites over AC4CH according to the previous tests and results that were mentioned above. One excellent property of matrix material composites is the infiltrated TiO$_2$ reinforcement. This material is a good substitute for the existing materials that are used in the development of industries today.

SOLUTION OF RICCATI TYPES MATRIX DIFFERENTIAL EQUATIONS USING MATRIX DIFFERENTIAL TRANSFORM METHOD

  • Abazari, Reza
    • Journal of applied mathematics & informatics
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    • v.27 no.5_6
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    • pp.1133-1143
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    • 2009
  • In this work, we successfully extended dimensional differential transform method (DTM), by presenting and proving some new theorems, to solve the non-linear matrix differential Riccati equations(first and second kind of Riccati matrix differential equations). This technique provides a sequence of matrix functions which converges to the exact solution of the problem. Examples show that the method is effective.

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Computational Modeling of the Bearing Coupling Section of Machine Tools (공작기계 베어링 결합부의 전산 모델링)

  • Kim, Hyun-Myung;Seo, Jae-Wu;Park, Hyung-Wook
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.10
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    • pp.1050-1055
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    • 2012
  • The bearing coupling section of machine tools is the most important factor to determine their static/dynamic stiffness. To ensure the proper performance of machine tools, the static/dynamic stiffness of the rotating system has to be predicted on the design stage. Various parameters of the bearing coupling section, such as the spring element, node number and preload influence the characteristics of rotating systems. This study focuses on the prediction of the static and dynamic stiffness of the rotating system with the bearing coupling section using the finite element (FE) model. MATRIX 27 in ANSYS has been adopted to describe the bearing coupling section of machine tools because the MATRIX 27 can describe the bearing coupling section close to the real object and is applicable to various machine tools. The FE model of the bearing couple section which has the sixteen node using MATRIX 27 was constructed. Comparisons between finite element method (FEM) predictions and experimental results were performed in terms of the static and dynamic stiffness.