A unified approach for the recursive determination of generalized inverses

DOI10.1016/S0898-1221(98)00247-8zbMath0936.65047MaRDI QIDQ1962944

Robert E. Kalaba, Firdaus E. Udwadia

Publication date: 20 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

dynamic programminggeneralized inverseMoore-Penrose inverseunified approachrecursive determinationleast squares generalized inverseminimum-norm generalized inverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (15)

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 ⋮ Symbolic and recursive computation of different types of generalized inverses ⋮ 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 ⋮ Nonnegative Moore-Penrose inverse of Gram matrices in an indefinite inner product space ⋮ Using the fundamental equation of constrained motion with inequality constraints

Cites Work

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• Associative memory approach to the identification of structural and mechanical systems
• Least-squares solution of equations of motion under inconsistent constraints
• Regression and the Moore-Penrose pseudoinverse
• A new perspective on constrained motion
• Response to Bucy’s comment on a paper by Udwadia and Kalaba
• Erratum: Generalized Inverse of a Matrix Product
• Some Applications of the Pseudoinverse of a Matrix

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