General forms for the recursive determination of generalized inverses: Unified approach

DOI10.1023/A:1021781918962zbMath0946.90117MaRDI QIDQ1301889

Robert E. Kalaba, Firdaus E. Udwadia

Publication date: 12 September 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

generalized inversesunified approachaddition of block-column matricesgeneral formsrecursive determination

Mathematics Subject Classification ID

Numerical linear algebra (65F99) Mathematical programming (90C99)

Related Items (17)

The weighted generalized inverses of a partitioned matrix ⋮ Generalized inverses of tridiagonal operators ⋮ Sequential determination of the \(\{1, 4\}\)-inverse of a matrix ⋮ 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 ⋮ 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 ⋮ Dynamic programming and diagnostic classification ⋮ On the extrema of linear least-squares problems ⋮ Computing the pseudoinverse of specific Toeplitz matrices using rank-one updates ⋮ 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

Cites Work

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• Associative memory approach to the identification of structural and mechanical systems
• An alternative proof of the Greville formula
• Regression and the Moore-Penrose pseudoinverse
• A new perspective on constrained motion
• Response to Bucy’s comment on a paper by Udwadia and Kalaba
• Some Applications of the Pseudoinverse of a Matrix

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