Numerical algorithms for the Moore-Penrose inverse of a matrix: direct methods

DOI10.1007/BF02479751zbMath0315.65027OpenAlexW2154690827MaRDI QIDQ1221473

Masaaki Sibuya, Kunio Tanabe, Nobuo Shinozaki

Publication date: 1972

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02479751

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09)

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Symbolic computation of weighted Moore-Penrose inverse using partitioning method ⋮ Operator-theoretic and regularization approaches to ill-posed problems ⋮ On large-scale generalized inverses in solving two-by-two block linear systems ⋮ Effective partitioning method for computing weighted Moore-Penrose inverse ⋮ Computing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical study ⋮ Application of the partitioning method to specific Toeplitz matrices ⋮ Symbolic computation of the Moore–Penrose inverse using a partitioning method ⋮ Efficient intersection between splines of clothoids ⋮ On the Moore–Penrose inverse in solving saddle‐point systems with singular diagonal blocks ⋮ Numerical algorithms for the Moore-Penrose inverse of a matrix: iterative methods ⋮ Neumann-type expansion of reflexive generalized inverses of a matrix and the hyperpower iterative method ⋮ On moment-discretization and least-squares solutions of linear integral equations of the first kind ⋮ Conjugate gradient method for computing the Moore-Penrose inverse and rank of a matrix ⋮ Application of constrained generalized inverse to pattern classification ⋮ Ill-Posed Problems: Operator Methodologies of Resolution and Regularization ⋮ Report on test matrices for generalized inverses ⋮ A problem in computation of pseudoinverses.

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