Symbolic and recursive computation of different types of generalized inverses

DOI10.1016/j.amc.2007.09.056zbMath1144.65027OpenAlexW2071471491MaRDI QIDQ924426

Predrag S. Stanimirović, Milan B. Tasić

Publication date: 16 May 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.056

zbMATH Keywords

polynomial matricesgeneralized inversesymbolic computationsrational matrices

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (10)

Gröbner basis computation of Drazin inverses with multivariate rational function entries ⋮ Outer inverse restricted by a linear system ⋮ Mixed-type reverse-order laws for \(\{1, 3, 4\}\)-generalized inverses over Hilbert spaces ⋮ Symbolic computation of \(A_{T,S}^{(2)}\)-inverses using QDR factorization ⋮ Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries ⋮ About the generalized \(LM\)-inverse and the weighted Moore-Penrose inverse ⋮ Effective partitioning method for computing generalized inverses and their gradients ⋮ Differentiation of generalized inverses for rational and polynomial matrices ⋮ ComputingA_T,S(²) inverses of Hermitian matrices viaLDL^*decomposition for a square matrixA ⋮ Restricted linear constrained minimization of quadratic functionals

Uses Software

• Mathematica

Cites Work

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• Computation of the generalized inverse of a polynomial matrix and applications
• Inverses of multivariable polynomial matrices by discrete Fourier transforms
• Report on test matrices for generalized inverses
• General forms for the recursive determination of generalized inverses: Unified approach
• Associative memory approach to the identification of structural and mechanical systems
• Generalized inverses of two-variable polynomial matrices and applications
• An alternative proof of the Greville formula
• The computation and application of the generalized inverse via Maple
• DFT calculation of the generalized and Drazin inverse of a polynomial matrix
• A finite algorithm for generalized inverses of polynomial and rational matrices
• Dynamic programming and pseudo-inverses
• The algorithm for computing the Drazin inverses of two-variable polynomial matrices
• A finite algorithm for the Drazin inverse of a polynomial matrix
• Partitioning method for rational and polynomial matrices
• A unified approach for the recursive determination of generalized inverses
• Computing generalized inverse of polynomial matrices by interpolation
• Symbolic computation of weighted Moore-Penrose inverse using partitioning method
• Regression and the Moore-Penrose pseudoinverse
• On the computation of the generalized inverse of a polynomial matrix
• Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion
• A new perspective on constrained motion
• Symbolic computation of the Moore–Penrose inverse using a partitioning method
• 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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