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Quantum Gauss Jordan Elimination [PDF]
International Journal of Theoretical Physics, 2007 In this paper we construct the Quantum Gau\ss Jordan Elimination (QGJE) Algorithm and estimate the complexity time of computation of Reduced Row Echelon Form (RREF) of an $N\times N$ matrix using QGJE procedure.
A Ekert +5 more
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The explicit formula for Gauss-Jordan elimination applied to flexible systems
Special Matrices, 2022 Flexible systems are obtained from systems of linear equations by adding to the elements of the coefficient matrix and the right-hand side scalar neutrices, which are convex groups of (non-standard) real numbers.
Tran Nam Van +2 more
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Proof Generation for CDCL Solvers Using Gauss-Jordan Elimination [PDF]
arXiv.org, 2023 Traditional Boolean satisfiability (SAT) solvers based on the conflict-driven clause-learning (CDCL) framework fare poorly on formulas involving large numbers of parity constraints.
Bryant, Randal E., Soos, Mate
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Depth-Optimized Quantum Circuit of Gauss–Jordan Elimination
Applied SciencesQuantum computers have the capacity to solve certain complex problems more efficiently than classical computers. To fully leverage these quantum advantages, adapting classical arithmetic for quantum systems in a circuit level is essential. In this paper,
Kyungbae Jang, Yujin Oh, Hwajeong Seo
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ON THE EXPLICIT FORMULA FOR GAUSS-JORDAN ELIMINATION [PDF]
JP Journal of Algebra, Number Theory and Applications, 2020 8
Van Tran, Nam +2 more
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On the stability of Gauss-Jordan elimination with pivoting [PDF]
Communications of the ACM, 1975 The stability of the Gauss-Jordan algorithm with partial pivoting for the solution of general systems of linear equations is commonly regarded as suspect. It is shown that in many respects suspicions are unfounded, and in general the absolute error in the solution is strictly comparable with that corresponding to Gaussian elimination with partial ...
Peters, G., Wilkinson, J. H.
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Batched Gauss-Jordan Elimination for Block-Jacobi Preconditioner Generation on GPUs [PDF]
Proceedings of the 8th International Workshop on Programming Models and Applications for Multicores and Manycores, 2017 In this paper, we design and evaluate a routine for the efficient generation of block-Jacobi preconditioners on graphics processing units (GPUs). Concretely, to exploit the architecture of the graphics accelerator, we develop a batched Gauss-Jordan elimination CUDA kernel for matrix inversion that embeds an implicit pivoting technique and handles the ...
Hartwig Anzt +3 more
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MATIN: a random network coding based framework for high quality peer-to-peer live video streaming. [PDF]
PLoS ONE, 2013 In recent years, Random Network Coding (RNC) has emerged as a promising solution for efficient Peer-to-Peer (P2P) video multicasting over the Internet. This probably refers to this fact that RNC noticeably increases the error resiliency and throughput of
Behrang Barekatain +7 more
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Wavelet-based arcing signal source localization algorithm using a compact multi-square microstrip antenna [PDF]
Scientific ReportsEnsuring power system safety involves effective arc fault detection and localization. Existing devices struggle to differentiate between normal and abnormal conditions, especially in confined spaces, posing precision challenges.
Melaty Amirruddin +6 more
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Solving fully fuzzy linear systems by Gauss Jordan Elimination Method
Journal of Physics: Conference Series, 2019 Abstract In this paper, we discuss fully fuzzy linear systems with triangular fuzzy numbers. A Gauss Jordan Elimination Method is proposed for solving fully fuzzy linear systems (FFLS). We used elementary row operations augmented matrices of crisp linear system of equation to arrive the row reduced form. The method in detail is discussed
S. Muruganandam +2 more
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