Recursive formulas for the generalized \(LM\)-inverse of a matrix

DOI10.1007/s10957-006-9132-6zbMath1115.15003OpenAlexW2102178400MaRDI QIDQ868580

Firdaus E. Udwadia, Phailaung Phohomsiri

Publication date: 6 March 2007

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

Full work available at URL: https://doi.org/10.1007/s10957-006-9132-6

zbMATH Keywords

generalized inverseleast squares problemMoore-Penrose inverserecursive formulasgeneralized \(L\)-inversegeneralized \(M\)-inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Vector spaces, linear dependence, rank, lineability (15A03) Linear equations (linear algebraic aspects) (15A06)

Related Items

Generalized \(LM\)-inverse of a matrix augmented by a column vector, An alternative proof for the explicit equations of motion for mechanical systems with independent non-ideal constraints, Moore-Penrose inverse of a Gram matrix and its nonnegativity, About the generalized \(LM\)-inverse and the weighted Moore-Penrose inverse, Generic two-degree-of-freedom linear and fuzzy controllers for integral processes, Moore--Penrose inverses of partitioned adjointable operators on Hilbert \(C^*\)-modules, Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space

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