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67 results for “matrices”
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Research ArticleOpen accessEvery word in the titleProbabilistic Estimates of the Largest Strictly Convex Singular Values of Pregaussian Random MatricesYang LiuIn this study, the p-singular values of random matrices with Gaussian entries defined in terms of the lp-p-norm for p>1, as is studied. Mainly, using analytical techniques, we show the probabilistic estimate, precisely, the decay, on the upper tail probability of the largest strictly convex singular values, when the number of rows of the matrices becomes very large and the … …Journal of Mathematics and Statistics, Vol. 11, Issue 1 · 6 May 2015 · 6,887 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleON SELF-INVERSE BINARY MATRICES OVER THE BINARY GALOIS FIELDAli Muhammad Ali Rushdi, Fares Ahmad Muhammad GhalebAn important class of square binary matrices over the simplest finite or Galois Field GF(2) is the class of involutory or Self-Inverse (SI) matrices. These matrices are of significant utility in prominent engineering applications such as the study of the Preparata Transformation or the analysis of synchronous Boolean Networks. Therefore, it is essential to devise appropriate methods, not only for … …Journal of Mathematics and Statistics, Vol. 9, Issue 3 · 4 Sep 2013 · 7,248 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleAn Analysis of the Output and Employment Conversion Matrices of Australia's EconomyAbbas Valadkhani, Tim RobinsonBased on two snapshots taken from the Australian economy, this study quantifies the impacts of final demand aggregates on output and employment in various sectors using the 1989 and 1997 conversion matrices. The sectoral output and employment are linked with final demand deliveries in such a way that one can measure the impacts on changes in each component of aggregate … …American Journal of Applied Sciences, Vol. 2, Issue 2 · 28 Feb 2005 · 6,750 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSolution of Second Order Ordinary Differential Equation Associated with Toeplitz and Stiffness MatricesSami H. AltoumIn this work we develop a technique solution of second order ordinary differential equation (integrating by parts) to reach to Toeplitz matrices and Stiffness matrix to solve O.D.Es. We investigate that solution numerically using finite difference method and we find the error between exact and numerical solution computed using finite element. …American Journal of Applied Sciences, Vol. 15, Issue 8 · 30 Oct 2018 · 7,448 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleEEG Signals During Epileptic Seizure as a Semigroup of Upper Triangular MatricesFaisal Abdurabu Mubarak Binjadhnan, Tahir AhmadProblem statement: EEG signals during epileptic seizure can be presented as an algebraic structure, namely semigroup of upper triangular matrices. Approach: EEG signals during seizure were recorded and composed into set of matrices. They were transformed into upper triangular matrices using QR-Schur decomposition and finally as a semigroup of upper triangular matrices. Results: EEG signals during epileptic seizure were transformed … …American Journal of Applied Sciences, Vol. 7, Issue 4 · 30 Apr 2010 · 7,019 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleGreatest Common Divisor and Least Common Multiple Matrices on Factor Closed Sets in a Principal Ideal DomainA. N. El-Kassar, S. S. Habre, Y. A. AwadProblem statement: Let T be a set of n distinct positive integers, x1, x2, ..., xn. The n×n matrix [T] having (xi, xj), the greatest common divisor of xi and xj, as its (i,j)-entry is called the greatest common divisor (GCD) matrix on T. The matrix [[T]] whose (i,j)-entry is [xi, xj], the least common multiple of xi and xj, … …Journal of Mathematics and Statistics, Vol. 5, Issue 4 · 31 Dec 2009 · 8,379 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleNanoceramic Matrices: Biomedical ApplicationsWilli Paul, Chandra P. SharmaNatural bone consisted of calcium phosphate with nanometer-sized needle-like crystals of approximately 5-20 nm width by 60 nm length. Synthetic calcium phosphates and Bioglass are biocompatible and bioactive as they bond to bone and enhance bone tissue formation. This property is attributed to their similarity with the mineral phase of natural bone except its constituent particle size. Calcium phosphate ceramics … …American Journal of Biochemistry and Biotechnology, Vol. 2, Issue 2 · 30 Jun 2006 · 7,361 accessesView PDFCite
Review ArticleOpen accessIn the keywordsExplaining the Generalized Cross-Validation on Linear ModelsLucas Monteiro Chaves, Laerte Dias de Carvalho, Carlos José dos Reis, Devanil Jaques de SouzaCross-Validation is a model validation method widely used by the scientific community. The Generalized Cross-Validation (GCV) is an invariant version of the usual Cross-Validation method. This generalization was obtained using the non usual theory of circulant complex matrices. In this work we intend to give a clear and complete exposition concerning the linear algebra assumptions required by the theory. The … …Journal of Mathematics and Statistics, Vol. 15, Issue 1 · 25 Oct 2019 · 10,450 accessesView PDFCite
Review ArticleOpen accessIn the keywordsProtein Sequences Features Extraction for Predicting Beta- Turns and their Types: A ReviewMurtada Khalafallah Elbashir ElfakiBeta-turns are considered to be important secondary structure types that have essential role in molecular recognition, protein folding and stability. They represent 25% of protein structures, therefore they are the most common type of non-repetitive or tight turns structures. Their prediction is considered to be an important issue in bioinformatics and molecular biology, because it provides valuable information and inputs … …Journal of Computer Science, Vol. 15, Issue 9 · 1 Oct 2019 · 7,694 accessesView PDFCite
Research ArticleOpen accessIn the keywordsWeighted Integration Route to Stiffness Matrix of Quadrilaterals for Speed, Accuracy and Functionally Graded Material ApplicationSubramanian G., P.V. JeyakarthikeyanA weighted integration route with robust one-point integration (hourglass-controlled) is proposed as efficient, time saving alternative to Gauss quadrature for stiffness matrix of bilinear quadrilaterals. One-point rule relies on sampling at the center of the element to linearize the geometric transformation and average the material property over it. This enables, for a given element, explicit integration of stiffness matrix yielding … …American Journal of Applied Sciences, Vol. 15, Issue 4 · 27 Sep 2017 · 8,050 accessesView PDFCite