Results 11 to 20 of about 12,305 (165)
Parallel Computing, 2019 This material is based upon work supported by the U.S. Department of Energy Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics program under Award Number DE-SC-0010042. H. Anzt was supported by the "Impuls and Vernetzungsfond of the Helmholtz Association" under grant VH-NG-1241. G. Flegar and E. S.
Anzt, Hartwig +3 more
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Gauss–Jordan elimination methods for the Moore–Penrose inverse of a matrix
Linear Algebra and its Applications, 2012 An algorithm for computing the Moore-Penrose inverse based on the reduced row echelon form (Gauss-Jordan elimination) is presented. Compared to one existing algorithm, the new variant (which does not require explicitly computing the normal equations matrix) is superior in terms of the complexity.
J. Ji
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Discuss of Error Analysis of Gauss-Jordan Elimination For Linear Algebraic Systems
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017 The paper establishes explicit representations of the errors and residuals of approximate solutions of triangular linear systems by Jordan elimination and of general linear algebraic systems by Gauss-Jordan elimination as functions of the data ...
S.Ab. M. Abbas
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Frequency Scaling And Energy Efficiency Regarding The Gauss-Jordan Elimination Scheme On Openpower 8
, 2017 The Gauss-Jordan Elimination scheme is an alternative to the LU decomposition for solving linear systems or computing the inverse of a matrix. We develop a multi-GPU aware implementation of this algorithm on an OpenPOWER 8 system with application to the Matrix Sign Function.
Köhler, M., Saak, J.
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Frontiers in Earth Science, 2023 Satellite gravimetry missions have enabled the calculation of high-accuracy and high-resolution Earth gravity field models from satellite-to-satellite tracking data and gravitational gradients. However, calculating high maximum degree/order (e.g., 240 or
Biao Lu +6 more
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Alexandria Engineering Journal, 2020 Deep learning has been employed to build applications and greatly promoted the development of the industries from many areas. Among the deep learning algorithms, normal equation method is widely used and is very time-consuming. Thus, it is very urgent to
Haibo Yi
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IET Communications, 2022 The recent concept of contextual information in error correcting code (ECC) can significantly improve the capacity of the blind recognition of codes with deep learning (DL) approaches.
Sida Li +3 more
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Parallel Gauss-Jordan Elimination on Two-Dimensional Constant Bandwidth Storage
International Journal of Grid and Distributed Computing, 2017 Yu Liu, Renhao Xiong
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Fine‐grain task‐parallel algorithms for matrix factorizations and inversion on many‐threaded CPUs
Concurrency and Computation: Practice and Experience, Volume 35, Issue 27, 10 December 2023., 2023 Abstract We extend a two‐level task partitioning previously applied to the inversion of dense matrices via Gauss–Jordan elimination to the more challenging QR factorization as well as the initial orthogonal reduction to band form found in the singular value decomposition.
Sandra Catalán +4 more
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Energy based methods applied in mechanics by using the extended Noether's formalism
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 103, Issue 12, December 2023., 2023 Abstract Physical systems are modeled by field equations; these are coupled, partial differential equations in space and time. Field equations are often given by balance equations and constitutive equations, where the former are axiomatically given and the latter are thermodynamically derived.
Bilen Emek Abali
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