An Efficient Factorization for the Group Inverse

DOI10.1137/0608065zbMath0653.65027OpenAlexW2087069305MaRDI QIDQ3799560

Lamond, Bernard F.

Publication date: 1987

Published in: SIAM Journal on Algebraic Discrete Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0608065

zbMATH Keywords

algorithmgroup inverseQR factorizationmatrix factorizationMoore-Penrose pseudo-inversesingular equationsDrazin generalized inversesingular matrix of index 1

Mathematics Subject Classification ID

Factorization of matrices (15A23) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (2)

An efficient basis update for asymptotic linear programming ⋮ A generalized inverse method for asymptotic linear programming

Cites Work

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• Resolvent expansions of matrices and applications
• LU decomposition of M-matrices by elimination without pivoting
• On the group-inverse of a linear transformation
• Pseudo-Inverses in Associative Rings and Semigroups
• Comparison of Some Direct Methods for Computing Stationary Distributions of Markov Chains
• Generalized Inverses in Discrete Time Markov Decision Processes
• Discrete Dynamic Programming with Sensitive Discount Optimality Criteria
• Markov Renewal Programs with Small Interest Rates

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