• Title/Summary/Keyword: form parameter

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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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    • v.7 no.1
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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.

On $\delta$ -semiclassical orthogonal polynomials

  • K. H. Kwon;Lee, D. W.;Park, S. B.
    • Bulletin of the Korean Mathematical Society
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    • v.34 no.1
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    • pp.63-79
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    • 1997
  • Consider an oparator equation of the form : $$ (1.1) H[y](x) = \alpha(x)\delta^2 y(x) + \beta(x)\delta y(x) = \lambda_n y(x), $$ where $\alphs(x)$ and $\beta(x)$ are polynomials of degree at most two and one respectively, $\lambda_n$ is the eigenvalue parameter, and $\delta$ is Hahn's operator $$ (1.2) \delta f(x) = \frac{(q - 1)x + \omega}{f(qx + \omega) - f(x)}, $$ for real constants $q(\neq \pm 1)$ and $\omega$.

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BIFURCATIONS IN A HUMAN MIGRATION MODEL OF SCHEURLE-SEYDEL TYPE-II: ROTATING WAVES

  • Kovacs, Sandor
    • Journal of applied mathematics & informatics
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    • v.16 no.1_2
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    • pp.69-78
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    • 2004
  • This paper treats the conditions for the existence of rotating wave solutions of a system modelling the behavior of students in graduate programs at neighbouring universities near each other which is a modified form of the model proposed by Scheurle and Seydel. We assume that both types of individuals are continuously distributed throughout a bounded two-dimension spatial domain of two types (circle and annulus), across whose boundaries there is no migration, and which simultaneously undergo simple (Fickian) diffusion. We will show that at a critical value of a system-parameter bifurcation takes place: a rotating wave solution arises.

ON THE GENERALIZED SOR-LIKE METHODS FOR SADDLE POINT PROBLEMS

  • Feng, Xin-Long;Shao, Long
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.663-677
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    • 2010
  • In this paper, the generalized SOR-like methods are presented for solving the saddle point problems. Based on the SOR-like methods, we introduce the uncertain parameters and the preconditioned matrixes in the splitting form of the coefficient matrix. The necessary and sufficient conditions for guaranteeing its convergence are derived by giving the restrictions imposed on the parameters. Finally, numerical experiments show that this methods are more effective by choosing the proper values of parameters.

On a Hilbert-Type Integral Inequality with a Combination Kernel and Applications

  • Yang, Bicheng
    • Kyungpook Mathematical Journal
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    • v.50 no.2
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    • pp.281-288
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    • 2010
  • By introducing some parameters and using the way of weight function and the technic of real analysis and complex analysis, a new Hilbert-type integral inequality with a best constant factor and a combination kernel involving two mean values is given, which is an extension of Hilbert's integral inequality. As applications, the equivalent form and the reverse forms are considered.

Characteristic of SEPP-LCC Type High Frequency Resonant Inverter using ZVS (ZVS를 이용한 SEPP-LCC형 고주파 공진인버터의 특성해석에 관한 연구)

  • 서철식;김종해;김동희;노채균;이달해
    • Proceedings of the KIPE Conference
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    • 1998.07a
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    • pp.14-19
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    • 1998
  • This paper has described about principle and form of proposed circuit made use of soft switching technology ZVS(Zero-Voltage-Switching) to reduce turn on and off loss at switching. also, the analysis of the proposed circuit has described by using normalized parameter and operating characteristics have been evaluated as to switching frequency and parameters. In addition, this paper proves the propriety of theoretical analysis in terms of the experiments.

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A Study on System Identification using Haar Functions (Haar함수를 이용한 시스템 동정에 관한 연구)

  • 안두수;채영무;이명규
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.36 no.4
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    • pp.287-292
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    • 1987
  • This paper deals with applications of Haar functions to parameter identification of linear systems. It is first introuduced to a new operational matrix which relates Haar functions and their integrations. The matrix can be used to identify the parameters of unknown linear systems by a least squares estimation. And then, the state equation of given systems is transformed into a computationally convenient algebraic form. This approach provides a more efficient method for the system identification problem.

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Bayesian Estimation via the Griddy Gibbs Sampling for the Laplacian Autoregressive Time Series Model

  • Young Sook Son;Sinsup Cho
    • Communications for Statistical Applications and Methods
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    • v.2 no.2
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    • pp.115-125
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    • 1995
  • This paper deals with the Bayesian estimation for the NLAR(1) model with Laplacian marginals. Assuming the independent uniform priors for two parameters of the NLAT(1) model, the griddy Gbbs sampler by Ritter and Tanner(1992) is used to obtain the Bayesian estimates. Random numbers generated form the uniform priors ate used as the grids for each parameter. Some simulations are conducted and compared with the maximum likelihood estimation result.

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Local Influence Analysis of the Equicorrelation Model

  • Kim, Myung-Geun;Jung, Kang-Mo
    • Journal of the Korean Statistical Society
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    • v.31 no.4
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    • pp.447-458
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    • 2002
  • The influence of observations in the equicorrelation model is investigated using the local influence approach when all parameters or subsets of parameters are of interest. When a parameter of interest is scalar, an analytical form of the local influence measure can be found. We will derive a measure for identifying observations that have a large influence on the test of fitting the equicorrelation model. An example is given for illustration.

임의의 잡음분포에 있어서 신호검출의 최적 파라미터 결정

  • 최무영;진용옥
    • Proceedings of the Korean Institute of Communication Sciences Conference
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    • 1983.10a
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    • pp.102-104
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    • 1983
  • This paper analyzes the patterns of Toneburst Waveform that generated Volumetarily in Broadband, as various Parameters, and applicate in the case that it is mixed Random Noise. As a result, it prooves that auto correlation function is Optimal parameter in analysis of Tone Burst wave form but reference signal.

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