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30 articles for “matrix equation”
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Research ArticleOpen accessIn the abstractRanking of Simultaneous Equation Techniques to Small Sample Properties and Correlated Random DeviatesA. A. Adepoju, J. O. OlaomiProblem statement: All simultaneous equation estimation methods have some desirable asymptotic properties and these properties become effective in large samples. This study is relevant since samples available to researchers are mostly small in practice and are often plagued with the problem of mutual correlation between pairs of random deviates which is a violation of the assumption of mutual independence between … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 6,594 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Eigenstructure Assignment for a Static Synchronous CompensatorAhmad N. Al-HusbanProblem statement: Power flow through an AC transmission line is influenced by three basic electrical parameters, which are line impedance, magnitudes and phase-shift angle between the sending and receiving voltages. Therefore, the change in any of the three basic parameters means a change in the power flow through the transmission line. The aims of this research paper are: increase the … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 7,691 accessesView PDFCite
Research ArticleOpen accessIn the abstractMemoryless Modified Symmetric Rank-One Method for Large-Scale Unconstrained OptimizationFarzin Modarres, Malik Abu Hassan, Wah June LeongProblem statement: Memoryless QN methods have been regarded effective techniques for solving large-scale problems that can be considered as one step limited memory QN methods. In this study, we present a scaled memoryless modified Symmetric Rank-One (SR1) algorithm and investigate the numerical performance of the proposed algorithm for solving large-scale unconstrained optimization problems. Approach: The basic idea is to apply … …American Journal of Applied Sciences, Vol. 6, Issue 12 · 31 Dec 2009 · 7,981 accessesView PDFCite
Research ArticleOpen accessIn the abstractMathematical Modeling for Shakedown Analysis of Offshore StructuresMohammad Javad Fadaee, Hamed Saffari, Ramin TabatabaeiThe shakedown analysis process of an offshore structure having elastic-plastic material presented. The finite element model of the structure has been developed first, and then a simple method has been applied for shakedown analysis using matrix tool. Simplifying the relationships together with applying the theory concepts of shakedown analysis is one of the characteristics of the presented method for practical … …American Journal of Applied Sciences, Vol. 4, Issue 7 · 31 Jul 2007 · 7,065 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Algebraic Approach to the Harmonic Oscillator Plus an Inverse Square Potential in Three DimensionsShi-Hai Dong, M. Lozada-CassouThe eigenfunctions and eigenvalues of the three-dimensional Schrödinger equation with a harmonic oscillator plus an inverse square interaction are obtained. A realization of the ladder operators for the wave functions is studied. It is found that these operators satisfy the commutation relations of an SU(1,1) group. The closed analytical expressions for the matrix elements of different functions ρ and ρd/dρ … …American Journal of Applied Sciences, Vol. 2, Issue 1 · 31 Jan 2005 · 7,279 accessesView PDFCite
Research ArticleOpen accessIn the abstractParallel Iterative Algorithms with Accelerate Convergence for Solving Implicit Difference EquationsQing-Fu Liu, Wei-Jun Zhong, Mancho ManevThis study focuses on the solution of implicit difference equations, which are very difficult to compute in parallel for the diffusion equation. For improving the convergence rates and the properties of gradual-approach convergence of Segment-Classic-Implicit-Iterative (SCII) and Segment-Crank-Nicolson-Iterative (SCNI) algorithms realizing efficient iterative computation in parallel by segmenting grid domains, SCII and SCNI algorithms with accelerated convergence are studied and … …American Journal of Applied Sciences, Vol. 1, Issue 1 · 31 Mar 2004 · 6,799 accessesView PDFCite
Research ArticleOpen accessIn the abstractEstimating the Parameters of the Negative-Lindley Distribution using Broyden-Fletcher-Goldfarb-ShannoNaushad Mamode KhanProblem statement: The Maximum Likelihood Estimation (MLE) technique is the most efficient statistical approach to estimate parameters in a cross-sectional model. Often, MLE gives rise to a set of non-linear systems of equations that need to be solved iteratively using the Newton-Raphson technique. However, in some situations such as in the Negative-Lindley distribution where it involves more than one unknown … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 29 Jan 2011 · 7,378 accessesView PDFCite
Research ArticleOpen accessIn the abstractFatigue Life Prediction of Screw Blade in Screw Sand Washing Machine under Random Load with Gauss DistributionJie Gong, Yun-Fei Fu, Wen Xia et al.The purpose of this study is to present a new method for estimating the fatigue life of the screw blade in the screw sand washing machine. To ensure the accuracy of numerical simulation, the loading area and the value of load are determined by means of the theoretical analysis. To ascertain the location of the stress peak and stress range, … …American Journal of Engineering and Applied Sciences, Vol. 9, Issue 4 · 22 Dec 2016 · 8,005 accessesView PDFCite
Research ArticleOpen accessIn the abstractFailure Probability of 2-within-Consecutive-(2, 2)-out-of-(n, m): F System for Special Values of mE. M.E.L. SayedProblem statements: In this research, the researcher aimed to discuses the system failure probability of the model 2-within-consecutive (2, 2) out of (n, m) system for special values of m. Approach: The basic idea for evaluating the failure probability was the usage of the number of configuration of k (k = 2, 3, 4) parallel columns each contained n components … …Journal of Mathematics and Statistics, Vol. 5, Issue 1 · 31 Mar 2009 · 7,464 accessesView PDFCite
Research ArticleOpen accessIn the abstractOn Strongly Coupled Linear Elliptic Systems with Application to Otolith Membrane DistortionI.K. YoussefProblem Statement: In this research, the author discussed the problems associated with the approximation of the mixed derivative terms appearing in strongly coupled linear elliptic systems by the finite difference method over irregular domains. To avoid the appearance of mixed derivative terms the author introduced a reformulation for the system through introducing a new dependent variable which adds one supplementary … …Journal of Mathematics and Statistics, Vol. 4, Issue 4 · 31 Dec 2008 · 6,714 accessesView PDFCite