Sequential determination of the \(\{1, 4\}\)-inverse of a matrix

DOI10.1023/A:1023644505061zbMath1040.65033MaRDI QIDQ1411486

Firdaus E. Udwadia, Robert E. Kalaba

Publication date: 29 October 2003

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

zbMATH Keywords

generalized inversesaddition of block-column matrices\(\{1, 4\}\)-inverseminimum length solutionsequential determination

Mathematics Subject Classification ID

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

Related Items (12)

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 ⋮ Moore-Penrose inverse of a Gram matrix and its nonnegativity ⋮ An alternative proof for the recursive formulae for computing the Moore--Penrose \(M\)-inverse of a matrix ⋮ Statistical measures for least squares using the \(\alpha Q\beta R\) algorithm ⋮ Dynamic programming and diagnostic classification ⋮ 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

Cites Work

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

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