• Title, Summary, Keyword: infinite matrix

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An Application of Absolute Matrix Summability using Almost Increasing and δ-quasi-monotone Sequences

  • Ozarslan, Hikmet Seyhan
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.233-240
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    • 2019
  • In the present paper, absolute matrix summability of infinite series is studied. A new theorem concerning absolute matrix summability factors, which generalizes a known theorem dealing with absolute Riesz summability factors of infinite series, is proved using almost increasing and ${\delta}$-quasi-monotone sequences. Also, a result dealing with absolute $Ces{\grave{a}}ro$ summability is given.

Analysis of Scattering Matrix for the Open-ended Rectangular Waveguide with Infinite Flange (무한한 플랜지가 장착된 개방형 직사각형 도파관 구조에 대한 산란 행렬 해석)

  • Ko, Ji-Whan;Cho, Young-Ki
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.3
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    • pp.407-413
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    • 2008
  • In this paper, scattering matrix for the open ended rectangular waveguide with infinite flange is derived. To validate the scattering matrix approach, load admittance $Y_{L,10}$ obtained from the present scattering matrix method is compared with the results of the previous work. The convergence for scattering matrix solution versus TE and TM mode numbers is investigated. Also far field power pattern radiated from the aperture of the waveguide is given.

Direct Calculation of A Matrix of Single Machine Connected to Infinite Bus : Including Excitation System (발전기-무한모선계통의 A행열의 직접 계산법 : 여자계통을 고려한 경우)

  • Kwon, Sae-Hyuk;Kim, Dug-Young
    • Proceedings of the KIEE Conference
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    • pp.216-220
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    • 1989
  • Direct calculation algorithm for the elements of A matrix is suggested for a single machine connected to the infinite bus. Excitation system and power system stabilizer are included. When A matrix is partitioned into seven submatrices, we can identify the location of non-zero elements and formula for each element. No matrix inversion and multiplication are necessary.

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EXPONENTIAL STABILITY OF INFINITE DIMENSIONAL LINEAR SYSTEMS

  • Shin, Chang Eon
    • Communications of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.603-611
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    • 2016
  • In this paper, we show that if $\mathcal{A}$ is a differential subalgebra of Banach algebras $\mathcal{B}({\ell}^r)$, $1{\leq}r{\leq}{\infty}$, then solutions of the infinite dimensional linear system associated with a matrix in $\mathcal{A}$ have its p-exponential stability being equivalent to each other for different $1{\leq}p{\leq}{\infty}$.

A RECENT EXTENSION OF THE WEIGHTED MEAN SUMMABILITY OF INFINITE SERIES

  • YILDIZ, SEBNEM
    • Journal of applied mathematics & informatics
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    • v.39 no.1_2
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    • pp.117-124
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    • 2021
  • We obtain a new matrix generalization result dealing with weighted mean summability of infinite series by using a new general class of power increasing sequences obtained by Sulaiman [9]. This theorem also includes some new and known results dealing with some basic summability methods.

An elasto-plastic solution for infinite solid containing a spherical precipitate under hydrostatic pressure (구형석출물을 갖는 무한 고체에 전수압이 가해지는 경우에 대한 탄소성해)

  • ;;Earmme, Youn Young
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.2
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    • pp.122-130
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    • 1981
  • Equation of equilibrium is derived and solved for an infinite isotropic solid under applied hydrostatic stress which is uniform at large distance, and disturbed by a spherical precipitate which has isotropoc elastic constants dirrerent form those of the matrix. A linear strain hardening behavior of the matrix is assumed, and an elasto-plastic sloution is obtained. The difference of the total strain energy stored inthe infinite solid with and without a precipitate is computed, and compared with that for purely elastic case. Finally the effect of the ratio of the bulk modulus of the precipitate to that of the matrix and the effct of linear strain hardening rate on the plastic zone size and the energy difference are discussed.

Soil-Structure Interaction Analysis in the Time Domain Using Explicit Frequency-Dependent Two Dimensional Infinite Elements (명시적 주파수종속 2차원 무한요소를 사용한 지반-구조물 상호작용의 시간영역해석)

  • 윤정방;김두기
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • pp.42-49
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    • 1997
  • In this paper, the method for soil-structure interaction analyses in the time domain is proposed. The far field soil region which is the outside of the artificial boundary is modeled by using explicit frequency-dependent two dimensional infinite elements which can include multiple wave components propagating into the unbounded medium. Since the dynamic stiffness matrix of the far field soil region using the proposed infinite elements is obtained explicitly in terms of exciting frequencies and constants in the frequency domain, the matrix can be easily transformed into the displacement unit-impulse response matrix, which corresponds to a convolution integral of it in the time domain. To verify the proposed method for soil-structure interaction analyses in the time domain, the displacement responses due to an impulse load on the surface of a soil layer with the rigid bed rock are compared with those obtained by the method in the frequency domain and those by models with extend finite element meshes. Good agreements have been found between them.

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Efficient analysis of SSI problems using infinite elements and wavelet theory

  • Bagheripour, Mohamad Hossein;Rahgozar, Reza;Malekinejad, Mohsen
    • Geomechanics and Engineering
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    • v.2 no.4
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    • pp.229-252
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    • 2010
  • In this paper, Soil-Structure Interaction (SSI) effect is investigated using a new and integrated approach. Faster solution of time dependant differential equation of motion is achieved using numerical representation of wavelet theory while dynamic Infinite Elements (IFE) concept is utilized to effectively model the unbounded soil domain. Combination of the wavelet theory with IFE concept lead to a robust, efficient and integrated technique for the solution of complex problems. A direct method for soil-structure interaction analysis in a two dimensional medium is also presented in time domain using the frequency dependent transformation matrix. This matrix which represents the far field region is constructed by assembling stiffness matrices of the frequency dependant infinite elements. It maps the problem into the time domain where the equations of motion are to be solved. Accuracy of results obtained in this study is compared to those obtained by other SSI analysis techniques. It is shown that the solution procedure discussed in this paper is reliable, efficient and less time consuming as compared to other existing concepts and procedures.