Research ArticleOpen accessPhrase in the titleSome P-RAM Algorithms for Sparse Linear SystemsRakesh Kumar Katare, N.S. ChaudhariPRAM algorithms for Symmetric Gaussian elimination is presented. We showed actual testing operations that will be performed during Symmetric Gaussian elimination, which caused symbolic factorization to occur for sparse linear systems. The array pattern of processing elements (PE) in row major order for the specialized sparse matrix in formulated. We showed that the access function in2+jn+k contains topological properties. We … …Journal of Computer Science, Vol. 3, Issue 12 · 31 Dec 2007 · 6,971 accessesView PDFCite
Research ArticleOpen accessPhrase in the titlePartial Eigenvalue Assignment for High-Order Linear Systems in a Time Delayed SystemEhab A. El-Sayed, Eid E. El BehadyThis paper introduces a solution to the partial eigenvalues assignment problem of high order linear systems with time delayed system in both single-input and multi-input cases using orthogonality relations between eigenvectors of the matrix polynomial. The solution requires the knowledge of only a few eigenvalues and with corresponding left eigenvectors of matrix polynomial. The numerical examples are done to illustrate … …American Journal of Applied Sciences, Vol. 13, Issue 9 · 29 Sep 2016 · 7,003 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleSliding Mode Observer-Based Fault Reconstruction for Uncertain Linear SystemsSlim Dhahri, Faycal Ben Hmida, Anis SellamiProblem statement: Fault reconstruction scheme is different from the majority of Fault Detection and Isolation (FDI) methods described in the literature in the sense that it not only detects and isolates the fault, but provides an estimate of the fault. This approach is very useful for incipient faults and slow drifts, which are very difficult to detect. Also, this approach … …American Journal of Applied Sciences, Vol. 8, Issue 10 · 8 Sep 2011 · 7,350 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleON SMOOTH SOLUTIONS OF NON LINEAR DYNAMICAL SYSTEMS, fn+1 = u(fn), PART IKyriakos KefalasWe consider the dynamical system, fn+1 = u(fn), (1) (where usually n, is time) defined by a continuous map u. Our target is to find a flow of the system for each initial state f0, i.e., we seek continuous solutions of (1), with the same smoothness degree as u. We start with the introduction of continued forms which are a … …Physics International, Vol. 5, Issue 1 · 7 May 2014 · 8,668 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn the Stability of a Certain Class of Linear Time-Varying SystemsM. De la SenThis study firstly considers the exponential stability of unforced linear systems of slowly time-varying dynamics. Possible switchings of the system structure to unstable dynamics during certain finite time intervals are admitted. The maintenance of global exponential stability does not necessarily require at most a finite number of switchings in the dynamics while infinitely many switches can also lead to stability. … …American Journal of Applied Sciences, Vol. 2, Issue 8 · 31 Aug 2005 · 6,935 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleOn 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
Research ArticleOpen accessEvery word in the titleEvaluation of Reliability and Availability Characteristics of Two Different Systems by Using Linear First Order Differential EquationsKhaled M. El-Said, Mohamed S. EL-SherbenyThis study deals with the reliability and availability characteristics of two different series system configurations. The second system differs from the first system due to the additional feature of preventive maintenance. The failure times of a components are assumed to be exponentially distributed with parameters α,β,α' and β', respectively. The replacement time distribution of each server is also exponentially distributed … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,659 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleThe Complex Probability Paradigm and Analytic Linear Prognostic for Vehicle Suspension SystemsAbdo Abou JaoudeThe Andrey N. Kolmogorov's system of axioms can be extended to encompass the imaginary set of numbers and this by adding to his original five axioms an additional three axioms. Hence, any experiment can thus be executed in what is now the complex set C which is the sum of the real set R with its corresponding real probability and … …American Journal of Engineering and Applied Sciences, Vol. 8, Issue 1 · 22 Apr 2015 · 7,474 accessesView PDFCite
Research ArticleOpen accessIn the keywordsOn the Successive Overrelaxation MethodI. K. YoussefProblem statement: A new variant of the Successive Overrelaxation (SOR) method for solving linear algebraic systems, the KSOR method was introduced. The treatment depends on the assumption that the current component can be used simultaneously in the evaluation in addition to the use the most recent calculated components as in the SOR method. Approach: Using the hidden explicit characterization of … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 22 Feb 2012 · 12,799 accessesView PDFCite
Research ArticleOpen accessIn the keywordsNew approach between the Optical Basicity and the Dielectric Constant through the Molar Polarizability for Some Binary GlassesEl-Sayed MoustafaProblem statement: In the present study, a new correlation between the optical basiciry which describes the electronic charge clouds around the oxide glass and the dielectric constant has been proposed through the molar polarizability of the binary oxide glasses. Approach: Two experimental forms have been suggested relating the optical basicity and the molar electronic polarizability. Hence, the dielectric constant and … …Physics International, Vol. 2, Issue 1 · 26 Oct 2011 · 7,764 accessesView PDFCite