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9 results for “symmetric matrix”
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Research ArticleOpen accessIn the keywordsInversion of Covariance Matrix for High Dimension DataSamruam ChongcharoenProblem statement: In the testing statistic problem for the mean vector of independent and identically distributed multivariate normal random vectors with unknown covariance matrix when the data has sample size less than the dimension n≤p, for example, the data came from DNA microarrays where a large number of gene expression levels are measured on relatively few subjects, the p×p sample … …Journal of Mathematics and Statistics, Vol. 7, Issue 3 · 27 Jul 2011 · 7,869 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA Novel Enhancement Technique of the Hill Cipher for Effective Cryptographic PurposesA. F.A. Abidin, O. Y. Chuan, M. R.K. AriffinProblem statement: The Hill cipher is the first polygraph cipher which has a few advantages in data encryption. However, it is vulnerable to known plaintext attack. Besides, an invertible key matrix is needed for decryption. It may become problematic since an invertible key matrix does not always exist. Approach: In this study, a robust Hill algorithm (Hill++) has been proposed. … …Journal of Computer Science, Vol. 7, Issue 5 · 7 May 2011 · 8,545 accessesView PDFCite
Research ArticleOpen accessIn the abstractStrengthening Image Security with Unimodular Hill Cipher and Advanced Encryption StandardSamsul Arifin, Dwi Wijonarko, Monica Mayeni Manurung et al.Digital data security has become increasingly important with the growth of digital image usage, which often contains sensitive information. This study aims to enhance the security of digital images by combining Unimodular Hill Cipher (UHC) and Advanced Encryption Standard (AES) methods. UHC, a matrix-based symmetric encryption algorithm, is used for image matrix encryption, while AES provides an additional layer of … …Journal of Computer Science, Vol. 21, Issue 5 · 22 Apr 2025 · 5,408 accessesView PDFCite
Research ArticleOpen accessIn the abstractNew Algorithm for Digital Video EncryptionSamsul Arifin, Wihikanwijna, Tuga Mauritsus et al.This research aims to propose a safe digital video data alternative employing symmetric cryptography and an encryption technique using Partition. The Hill Cipher method requires a square key matrix with an inverse modulo the unimodular matrix is one of the unique matrices with an inverse. The encryption mechanism is modulo matrix multiplication, with shift cipher encryption employed to encrypt defective … …Journal of Computer Science, Vol. 19, Issue 7 · 19 Jun 2023 · 6,395 accessesView PDFCite
Research ArticleOpen accessIn the abstractMinimization of ℓ2-Norm of the KSOR OperatorA. I. Alzaki, I. K. YoussefWe consider the problem of minimizing the ℓ2-norm of the KSOR operator when solving a linear systems of the form AX = b where, A = I +B (TJ = -B, is the Jacobi iteration matrix), B is skew symmetric matrix. Based on the eigenvalue functional relations given for the KSOR method, we find optimal values of the relaxation parameter … …Journal of Mathematics and Statistics, Vol. 8, Issue 4 · 8 Jan 2013 · 7,083 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 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
Research ArticleOpen accessIn the abstractCollocation Discrete Least Squares (CDLS) Method for Elasticity Problems and Grid Irregularity Effect AssessmentM. Naisipour, M. H. Afshar, B. Hassani, A. R. FiroozjaeeA meshless approach, collocation discrete least square (CDLS) method, is extended in this paper, for solving elasticity problems and grid irregularity effect is assessed. In the present CDLS method, the problem domain is discretized by distributed field nodes. The field nodes are used to construct the trial functions. The moving least-squares interpolant is employed to construct the trial functions. Some … …American Journal of Applied Sciences, Vol. 5, Issue 11 · 30 Nov 2008 · 7,091 accessesView PDFCite
Research ArticleOpen accessIn the abstractSome 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