Gauss–Jordan elimination methods for the Moore–Penrose inverse of a matrix
Copyright policy )Gauss–Jordan elimination methods for the Moore–Penrose inverse of a matrix
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.
- Kennesaw State University United States
Moore–Penrose inverse, Numerical Analysis, Numerical solutions to overdetermined systems, pseudoinverses, computational complexity, algorithm, Algebra and Number Theory, Gauss–Jordan elimination, Moore–Penrose inverse, Direct numerical methods for linear systems and matrix inversion, Moore-Penrose inverse, Computational complexity, Complexity and performance of numerical algorithms, Discrete Mathematics and Combinatorics, Gauss–Jordan elimination, Geometry and Topology, Algebraic Geometry, Gauss-Jordan elimination, Mathematics
Moore–Penrose inverse, Numerical Analysis, Numerical solutions to overdetermined systems, pseudoinverses, computational complexity, algorithm, Algebra and Number Theory, Gauss–Jordan elimination, Moore–Penrose inverse, Direct numerical methods for linear systems and matrix inversion, Moore-Penrose inverse, Computational complexity, Complexity and performance of numerical algorithms, Discrete Mathematics and Combinatorics, Gauss–Jordan elimination, Geometry and Topology, Algebraic Geometry, Gauss-Jordan elimination, Mathematics
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