An alternative proof of the Greville formula
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Publication:1367782
DOI10.1023/A:1022699317381zbMath0893.65020OpenAlexW2160424224MaRDI QIDQ1367782
Firdaus E. Udwadia, Robert E. Kalaba
Publication date: 26 April 1998
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1022699317381
Related Items (22)
Symbolic computation of weighted Moore-Penrose inverse using partitioning method ⋮ Generalized inverses of tridiagonal operators ⋮ Generalized \(LM\)-inverse of a matrix augmented by a column vector ⋮ Recursive formulas for the generalized \(LM\)-inverse of a matrix ⋮ Proof by verification of the Greville/Udwadia/Kalaba formula for the Moore-Penrose inverse of a matrix ⋮ Effective partitioning method for computing weighted Moore-Penrose inverse ⋮ Dynamic programming and pseudo-inverses ⋮ Symbolic and recursive computation of different types of generalized inverses ⋮ Application of the partitioning method to specific Toeplitz matrices ⋮ Moore-Penrose inverse of a Gram matrix and its nonnegativity ⋮ About the generalized \(LM\)-inverse and the weighted Moore-Penrose inverse ⋮ Effective partitioning method for computing generalized inverses and their gradients ⋮ Method of elementary transformation to compute Moore-Penrose inverse ⋮ An alternative proof for the recursive formulae for computing the Moore--Penrose \(M\)-inverse of a matrix ⋮ Differentiation of generalized inverses for rational and polynomial matrices ⋮ Statistical measures for least squares using the \(\alpha Q\beta R\) algorithm ⋮ Recursive determination of the generalized Moore-Penrose \(M\)-inverse of a matrix ⋮ On the extrema of linear least-squares problems ⋮ Training a multilayer network with low-memory kernel-and-range projection ⋮ Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space ⋮ Linear optimization with box constraints in Banach spaces ⋮ General forms for the recursive determination of generalized inverses: Unified approach
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