• 제목/요약/키워드: A1 Matrix

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ALGORITHMS FOR SOLVING MATRIX POLYNOMIAL EQUATIONS OF SPECIAL FORM

  • Dulov, E.V.
    • Journal of applied mathematics & informatics
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    • 제7권1호
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    • pp.41-60
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    • 2000
  • In this paper we consider a series of algorithms for calculating radicals of matrix polynomial equations. A particular aspect of this problem arise in author's work. concerning parameter identification of linear dynamic stochastic system. Special attention is given of searching the solution of an equation in a neighbourhood of some initial approximation. The offered approaches and algorithms allow us to receive fast and quite exact solution. We give some recommendations for application of given algorithms.

Partitioning of Si in Fe-Zr-Si-B Nanocrystalline Alloys

  • Waniewska, A.Slawska;Greneche, J.M.;A.Inoue
    • Journal of Magnetics
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    • 제4권1호
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    • pp.1-4
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    • 1999
  • The microstructure and magnetic properties of$ Fe_{87}Zr_7Si_4B_2$ nanocrystalline alloys were studied by magnetization measurements and M ssbauer spectrometry over a wide temperature range. Three well resolved spectral components have been found and attributed to bcc-Fe grains (with almost pure iron structure), residual amorphous matrix enriched with solute elements and interfaces formed at the grain-matrix boundaries. It has been shown that, contrary to the expectation, during crystallization the atomic segregation occurs leading to the formation of primary bcc-Fe grains and the partition of Si atoms into the residual amorphous matrix.

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LEAST SQUARES SOLUTIONS OF THE MATRIX EQUATION AXB = D OVER GENERALIZED REFLEXIVE X

  • Yuan, Yongxin
    • Journal of applied mathematics & informatics
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    • 제26권3_4호
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    • pp.471-479
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    • 2008
  • Let $R\;{\in}\;C^{m{\times}m}$ and $S\;{\in}\;C^{n{\times}n}$ be nontrivial unitary involutions, i.e., $R^*\;=\;R\;=\;R^{-1}\;{\neq}\;I_m$ and $S^*\;=\;S\;=\;S^{-1}\;{\neq}\;I_m$. We say that $G\;{\in}\;C^{m{\times}n}$ is a generalized reflexive matrix if RGS = G. The set of all m ${\times}$ n generalized reflexive matrices is denoted by $GRC^{m{\times}n}$. In this paper, an efficient method for the least squares solution $X\;{\in}\;GRC^{m{\times}n}$ of the matrix equation AXB = D with arbitrary coefficient matrices $A\;{\in}\;C^{p{\times}m}$, $B\;{\in}\;C^{n{\times}q}$and the right-hand side $D\;{\in}\;C^{p{\times}q}$ is developed based on the canonical correlation decomposition(CCD) and, an explicit formula for the general solution is presented.

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REAL SOLUTIONS OF THE EQUATION (equation omitted)

  • Yang, Zhong-Peng;Cao, Chong-Gu;Tang, Xiao-Min
    • Journal of applied mathematics & informatics
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    • 제13권1_2호
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    • pp.117-123
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    • 2003
  • For an n ${\times}$ n real matrix X, let ${\Phi}$(X) = X o (X$\^$-1/)$\^$T/, where o stands for the Hadamard (entrywise) product. Suppose A, B, G and D are n ${\times}$ n real nonsingular matrices, and among them there are at least one solutions to the equation (equation omitted). An equivalent condition which enable (equation omitted) become a real solution ot the equation (equation omitted), is given. As application, we get new real solutions to the matrix equation (equation omitted) by applying the results of Zhang. Yang and Cao [SIAM.J.Matrix Anal.Appl, 21(1999), pp: 642-645] and Chen [SIAM.J.Matrix Anal.Appl, 22(2001), pp:965-970]. At the same time, all solutions of the matrix equation (equation omitted) are also given.

매트릭스 컨버터를 사용한 네트워크 기반 천정형 크레인 제어 시스템 (Network-Based Overhead Crane Control System Using Matrix Converters)

  • 이홍희;전태원
    • 전력전자학회논문지
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    • 제15권1호
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    • pp.9-16
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    • 2010
  • 본 논문은 CAN을 사용하여 매트릭스 컨버터로 구동되는 천정형 크레인의 총괄제어 기법을 제시하였다. 크레인의 갠추리, 트롤리 및 호이스트 구동용으로 4개 매트릭스 컨버터-유도전동기 구동장치를 직접토크 기법으로 위치 제어한다. 위치제어 알고리즘과 CAN을 사용한 크레인의 총괄제어 기법을 제시하고, 시뮬레이션 및 실험을 통하여 매트릭스 컨버터-유도전동기로 구동되는 크레인의 위치제어 성능을 확인한다.

부분행렬을 사용한 행렬.벡터 연산용 1차원 시스톨릭 어레이 프로세서 설계에 관한 연구 (A Study On Improving the Performance of One Dimensional Systolic Array Processor for Matrix.Vector Operation using Sub-Matrix)

  • 김용성
    • 정보학연구
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    • 제10권3호
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    • pp.33-45
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    • 2007
  • Systolic Array Processor is used for designing the special purpose processor in Digital Signal Processing, Computer Graphics, Neural Network Applications etc., since it has the characteristic of parallelism, pipeline processing and architecture of regularity. But, in case of using general design method, it has intial waiting period as large as No. of PE-1. And if the connected system needs parallel and simultaneous outputs, processor has some problems of the performance, since it generates only one output at each clock in output state. So in this paper, one dimensional Systolic Array Processor that is designed according to the dependance of data and operations using the partitioned sub-matrix is proposed for the purpose of improving the performance. 1-D Systolic Array using 4 partitioned sub-matrix has efficient method in case of considering those two problems.

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ON THE POWER SEQUENCE OF A FUZZY MATRIX CONVERGENT POWER SEQUENCE

  • Tian, Zhou;Liu, De-Fu
    • Journal of applied mathematics & informatics
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    • 제4권1호
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    • pp.147-166
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    • 1997
  • The convergence of the power sequence of an $n{\times}n$ fuzzy matrix has been studied. Some theoretical necessary and sufficient con-ditions have been established for the power sequence to be convergent generally. Furthermore as one of our main concerns the convergence index was studied in detail especially for some special types of Boolean matrices. Also it has been established that the convergence index is bounded by $(n-1)^2+1$ from above for an arbitrary $n{\times}n$ fuzzy matrix if its power sequence converges. Our method is concentrated on the limit behavior of the power se-quence. It helped us to make our proofs be simpler and more direct that those in pure algebraic methods.

Adenovirus-Mediated Gene Delivery of Tissue Inhibitor of Metalloproteinase-1 Inhibits Migration of B16F10 Melanoma Cell in Wound Migration Assay

  • Seungwan Jee;Hoil Kang;Park, Sehgeun;Park, Misun;Miok Eom;Taikyung Ryeom;Kim, Okhee
    • 한국독성학회:학술대회논문집
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    • 한국독성학회 2003년도 추계학술대회
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    • pp.177-177
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    • 2003
  • Tumor cell invasion and metastasis are a complex multistep process that involves the degradation of extracellular matrix proteins by matrix metalloproteinases (MMPs). Tissue inhibitor of metalloproteinase-1 (TIMP-1) acts as a negative regulator of matrix metalloproteinase and thus prevents tumor cell invasion and metastasis by preserving extracellular matrix integrity.(omitted)

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ADMISSIBLE BALANCED PAIRS OVER FORMAL TRIANGULAR MATRIX RINGS

  • Mao, Lixin
    • 대한수학회보
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    • 제58권6호
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    • pp.1387-1400
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    • 2021
  • Suppose that $T=\(\array{A&0\\U&B}\)$ is a formal triangular matrix ring, where A and B are rings and U is a (B, A)-bimodule. Let ℭ1 and ℭ2 be two classes of left A-modules, 𝔇1 and 𝔇2 be two classes of left B-modules. We prove that (ℭ1, ℭ2) and (𝔇1, 𝔇2) are admissible balanced pairs if and only if (p(ℭ1, 𝔇1), h(ℭ2, 𝔇2) is an admissible balanced pair in T-Mod. Furthermore, we describe when ($P^{C_1}_{D_1}$, $I^{C_2}_{D_2}$) is an admissible balanced pair in T-Mod. As a consequence, we characterize when T is a left virtually Gorenstein ring.

로드/언로드 성능향상을 위한 서스펜션 상태행렬 연구 (A study on suspension state matrix to improve load/unload performance)

  • 이용현;김기훈;김석환;박노철;박영필;박경수;김철순
    • 정보저장시스템학회논문집
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    • 제5권1호
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    • pp.47-52
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    • 2009
  • Most hard disk drives that apply the ramp load/unload technology unload the heads at the outer edge of the disk while the disk is rotating. The load/unload includes the benefits as like an increased areal density, a reduced power consumption and an improved shock resistance. A lot of papers investigating the effects of the various load/unload parameters such as a suspension tab, a limiter, a ramp and air-bearing surface designs have been published. However, in previous researches, an effect of the suspension is not considered at each load/unload step. In this paper, we focus that a variation of the state matrix affects the load/unload performance on based on a state matrix that is a stiffness matrix of the suspension. Because the state matrix is related to the suspension at each load/unload step, to change the state matrix means the structural change of the suspension. Therefore, we investigated a range of a pitch static attitude(PSA) and a roll static attitude(RSA) for load/unload performance. We also analyzed an effect of the variation of the state matrix a range of load/unload velocity occurred a slider-disk contact. We determined the variation of the state matrix to improve the load/unload performance through comparison of each factor of state matrix.

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