A Method for Computing the Generalized Inverse of a Matrix
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Publication:5524805
DOI10.1137/0703049zbMath0147.13105OpenAlexW1966514580MaRDI QIDQ5524805
Publication date: 1966
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0703049
Related Items (19)
On the Moore-Penrose generalized inverse matrix ⋮ Strict Chebyshev approximation for general systems of linear equations ⋮ Group and Moore-Penrose inverses of regular morphisms with kernel and cokernel ⋮ Extrapolation and the method of regularization for generalized inverses ⋮ Nonnegative definite matrices and their applications to matrix quadratic programming problems ⋮ Computational methods of linear algebra ⋮ Generalized fraction-free \(LU\) factorization for singular systems with kernel extraction ⋮ New representations of the Moore-Penrose inverse of \(2 \times 2\) block matrices ⋮ A direct method for the general solution of a system of linear equations ⋮ Expressions for the Moore-Penrose inverse of block matrices involving the Schur complement ⋮ An alternative proof for the recursive formulae for computing the Moore--Penrose \(M\)-inverse of a matrix ⋮ Numerical algorithms for the Moore-Penrose inverse of a matrix: direct methods ⋮ Conjugate gradient method for computing the Moore-Penrose inverse and rank of a matrix ⋮ Successive overrelaxation methods for solving the rank deficient linear least squares problem ⋮ An iterative procedure for solving nonlinear equations ⋮ A note on generalized inverses ⋮ On the group-inverse of a linear transformation ⋮ An algorithm for the solution of ill-posed linear systems arising from the discretization of Fredholm integral equation of the first kind ⋮ Report on test matrices for generalized inverses
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