Results 21 to 30 of about 412,590 (166)
Memory-usage advantageous block recursive matrix inverse [PDF]
Applied Mathematics and Computation, 2018 The inversion of extremely high order matrices has been a challenging task because of the limited processing and memory capacity of conventional computers. In a scenario in which the data does not fit in memory, it is worth to consider exchanging less memory usage for more processing time in order to enable the computation of the inverse which ...
Iria C.S. Cosme +3 more
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Optimal sampling algorithms for block matrix multiplication
Journal of Computational and Applied Mathematics, 2023 In this paper, we investigate the randomized algorithms for block matrix multiplication from random sampling perspective. Based on the A-optimal design criterion, the optimal sampling probabilities and sampling block sizes are obtained. To improve the practicability of the block sizes, two modified ones with less computation cost are provided.
Niu, Chengmei, Li, Hanyu
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A preconditioned fast collocation method for a linear bond-based peridynamic model
Advances in Difference Equations, 2020 We develop a fast collocation method for a static bond-based peridynamic model. Based on the analysis of the structure of the stiffness matrix, a fast matrix-vector multiplication technique was found, which can be used in the Krylov subspace iteration ...
Xuhao Zhang +3 more
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Optical solitary wave solutions in generalized determinant form for Kundu–Eckhaus equation
Results in Physics, 2023 The Kundu–Eckhaus (KE) equation describes the propagation of ultra-short femtosecond pulses in optical fibers. In this paper, on the basis of Hirota bilinear form of KE equation, a complex matrix is introduced into the differential relation satisfied by ...
Gui-Min Yue, Xiang-Hua Meng
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UTILIZING CONCEPTUAL MODELING IN THE STUDY OF ONE OF THE IRANIAN FRACTURED CARBONATE RESERVOIRS [PDF]
Journal of Petroleum Science and Technology, 2013 A typical Iranian carbonate matrix block surrounded by an open fracture was modeled in order to understand the fracture-matrix interaction and realize how to model the interaction best. The modeling was carried out by using a fine-scaled Eclipse model in
seyed Majid Hashemi, Gholamreza Bashiri
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Random Block Matrices and Matrix Orthogonal Polynomials [PDF]
Journal of Theoretical Probability, 2008 In this paper we consider random block matrices, which generalize the general beta ensembles, which were recently investigated by Dumitriu and Edelmann (2002, 2005). We demonstrate that the eigenvalues of these random matrices can be uniformly approximated by roots of matrix orthogonal polynomials which were investigated independently from the random ...
Dette, Holger, Reuther, Bettina
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Walsh–Hadamard Kernel Feature-Based Image Compression Using DCT with Bi-Level Quantization
Computers, 2022 To meet the high bit rate requirements in many multimedia applications, a lossy image compression algorithm based on Walsh–Hadamard kernel-based feature extraction, discrete cosine transform (DCT), and bi-level quantization is proposed in this paper. The
Dibyalekha Nayak +3 more
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Block ILU factorization preconditioners for a block-tridiagonal H-matrix
Linear Algebra and its Applications, 2000 The authors propose three new block incomplete LU (BILU) factorizations for a block-tridiagonal \(H\)-matrix readily parallelizable. The construction of BILU factors is based on the element-wise LU \(\text{ILU}(k)\) factorization (incomplete LU factorization of level \(k\) of fill-in) of diagonal blocks, \(B_i=L_iU_i-R_i\).
Kim, Sang Wook, Yun, Jae Heon
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Some New Algebraic Method Developments in the Characterization of Matrix Equalities
AxiomsAlgebraic expressions and equalities can be constructed arbitrarily in a given algebraic framework according to the operational rules provided, and thus it is a prominent and necessary task in mathematics and applications to construct, classify, and ...
Yongge Tian
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Representations of group rings and groups [PDF]
International Journal of Group Theory, 2018 An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrices is established. It is shown that for any group ring matrix $A$ of $mathbb{C} G$ there exists a matrix $U$ (independent of $A$) such that $U^{-1}AU= diag(
Ted Hurley
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