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Journal of the Korea Society for Industrial and Applied Mathematics
Journal Basic Information
pISSN :
1226-9433
eISSN :
1229-0645
Journal DOI :
10.12941/jksiam
Frequency :
Others
Publisher:
The Korean Society for Industrial and Applied Mathematics
Editor in Chief :
Volume & Issues
Volume 12, Issue 4 - Dec 2008
Volume 12, Issue 3 - Sep 2008
Volume 12, Issue 2 - Jun 2008
Volume 12, Issue 1 - Mar 2008
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1
SOLVING MATRIX POLYNOMIALS BY NEWTON'S METHOD WITH EXACT LINE SEARCHES
Seo, Jong-Hyeon ; Kim, Hyun-Min ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 12, issue 2, 2008, Pages 55~68
Abstract
One of well known and much studied nonlinear matrix equations is the matrix polynomial which has the form
, where
,
,
,
and X are
complex matrices. Newton's method was introduced a useful tool for solving the equation P(X)=0. Here, we suggest an improved approach to solve each Newton step and consider how to incorporate line searches into Newton's method for solving the matrix polynomial. Finally, we give some numerical experiment to show that line searches reduce the number of iterations for convergence.
2
MULTIGRID CONVERGENCE THEORY FOR FINITE ELEMENT/FINITE VOLUME METHOD FOR ELLIPTIC PROBLEMS:A SURVEY
Kwak, Do-Y. ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 12, issue 2, 2008, Pages 69~79
Abstract
Multigrid methods finite element/finite volume methods and their convergence properties are reviewed in a general setting. Some early theoretical results in simple finite element methods in variational setting method are given and extension to nonnested-noninherited forms are presented. Finally, the parallel theory for nonconforming element[13] and for cell centered finite difference methods [15, 23] are discussed.
3
ON ESTIMATION OF NEGATIVE POLYA-EGGENBERGER DISTRIBUTION AND ITS APPLICATIONS
Hassan, Anwar ; Bilal, Sheikh ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 12, issue 2, 2008, Pages 81~95
Abstract
In this paper, the negative Polya-Eggenberger distribution has been introduced by compounding negative binomial distribution with beta distribution of I-kind which generates a number of univariate contagious or compound (or mixture of) distributions as its particular cases. The distribution is unimode, over dispersed and all of its positive and negative integer moments exist. The difference equation of the proposed model shows that it is a member of the Ord's family of distribution. Some of its interesting properties have been explored besides different methods of estimation been discussed. Finally, the parameters of the proposed model have been estimated by using a computer programme in R-software. Application of the proposed model to some data, available in the literature, has been given and its goodness of fit demonstrated.
4
ON THE BAYES ESTIMATOR OF PARAMETER AND RELIABILITY FUNCTION OF THE ZERO-TRUNCATED POISSON DISTRIBUTION
Hassan, Anwar ; Ahmad, Peer Bilal ; Bhatti, M. Ishaq ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 12, issue 2, 2008, Pages 97~108
Abstract
In this paper Bayes estimator of the parameter and reliability function of the zero-truncated Poisson distribution are obtained. Furthermore, recurrence relations for the estimator of the parameter are also derived. Monte Carlo simulation technique has been made for comparing the Bayes estimator and reliability function with the corresponding maximum likelihood estimator (MLE) of zero-truncated Poisson distribution.
5
A NEW VERSION OF FIRST RETURN TIME TEST OF PSEUDORANDOMNESS
Kim, Dong-Han ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 12, issue 2, 2008, Pages 109~118
Abstract
We present a new version of the first return time test for pseudorandomness. Let
be the first return time of initial n-block with overlapping. An algorithm to calculate the probability distribution of the first return time
for each starting block is presented and used to test pseudorandom number generators. The standard Z-test for log
is applied to test the pseudorandom number generators.
6
A COMPUTATION METHOD IN PERFORMANCE EVALUATION IN CELLULAR COMMUNICATION NETWORK UNDER THE GENERAL DISTRIBUTION MODEL
Kim, Kyung-Sup ;
Journal of the Korea Society for Industrial and Applied Mathematics, volume 12, issue 2, 2008, Pages 119~131
Abstract
The paper considers the computation method in the performance evaluation of cellular network in the phase-type distribution assumptions that the channel holding times induced from mobility are modeled by well-fitted distributions to reflect an actual situation. When ww consider a phase-type distribution model instead of exponential distribution, the complexity of the computation increase exponential even though the accuracy is improved. We consider an efficient numerical algorithm to compute the performance evaluations in cellular networks such as a handoff call dropping probability, new call blocking probability, and handoff arrival rate. Numerical experiment shows that numerical analysis results are well approximated to the results of simulation.