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Gauss–Jordan elimination method for computing outer inverses
Applied Mathematics and Computation, 2013This paper deals with the algorithm for computing outer inverse with prescribed range and null space, based on the choice of an appropriate matrix G and Gauss-Jordan elimination of the augmented matrix [G|I]. The advantage of such algorithms is the fact that one can compute various generalized inverses using the same procedure, for different input ...
Predrag S. Stanimirović +1 more
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CUDA Based Parallel Computation for Gauss Elimination Method
Volume 3: Structures, Safety, and Reliability, 2018The Central Processing Unit (CPU) parallel algorithm based on Computing Unified Device Architecture (CUDA) has shown great power of computing speedup ability. What performance will the new technique show in the field of structural computation? We choose the Gauss elimination method as the research object.
Xiao Liu, Lei Xu
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MOBILE APPLICATION FOR CALCULATION OF ELECTRICAL CIRCUITS USING THE GAUSS ELIMINATION METHOD
2023In this article we present the development of an application for Android mobile devices that facilitates the calculation of electrical circuits. We use the Gauss elimination method in the application to perform the calculations and it allows students to visualize the circuits before performing the calculations.
Vinicius B. S. R. dos Santos +3 more
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An Alternative Method to Gauss-Jordan Elimination: Minimizing Fraction Arithmetic
THE MATHEMATICS EDUCATOR, 2015When solving systems of equations by using matrices, many teachers present a Gauss-Jordan elimination approach to row reducing matrices that can involve painfully tedious operations with fractions (which I will call the traditional method). In this essay, I present an alternative method to row reduce matrices that does not introduce additional ...
Luke Smith, Joan Powell
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A new method for computing Moore–Penrose inverse through Gauss–Jordan elimination
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ji, Jun, Chen, Xuzhou
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Methods of Gauss–Jordan elimination to compute core inverse and dual core inverse
Linear and Multilinear Algebra, 2020In this paper, two formulas, which were studied by Wang and Liu (2015) and Ma and Li (2019), respectively, for the core inverse, are simplified.
Xingping Sheng, Dawei Xin
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Solution of Neutrosophic Linear Systems of Equations by Gauss Elimination Method
International Journal of Fuzzy Mathematical Archive, 2023Neutrosophic sets and numbers are extensions of classical set theory and real numbers, respectively, introduced by Florentin Smarandache in 1995 to address indeterminate, vague, or imprecise information. Neutrosophic numbers are defined by three components: truth-membership, indeterminacy-membership, and falsity-membership degrees, each ranging from 0 ...
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