Symbolic computation of the Moore–Penrose inverse using a partitioning method

DOI10.1080/00207160512331323353zbMath1068.65051OpenAlexW1975778770MaRDI QIDQ4653715

Predrag S. Stanimirović, Marko D. Petković

Publication date: 7 March 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160512331323353

zbMATH Keywords

algorithmpolynomial matricesMoore-Penrose inverserational matricesGreville's partitioning methodsymbolic package MATHEMATICA

Mathematics Subject Classification ID

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

Related Items

Symbolic computation of weighted Moore-Penrose inverse using partitioning method, Representations and geometrical properties of generalized inverses over fields, Effective partitioning method for computing weighted Moore-Penrose inverse, Symbolic computation of \(A_{T,S}^{(2)}\)-inverses using QDR factorization, Symbolic and recursive computation of different types of generalized inverses, Representations of generalized inverses via full-rank QDR decomposition, Computing generalized inverses using LU factorization of matrix product, Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries, Representations and symbolic computation of generalized inverses over fields, 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, Computation of generalized inverses using PHP/MySQL environment

Uses Software

• Mathematica

Cites Work

• Computation of the generalized inverse of a polynomial matrix and applications
• Report on test matrices for generalized inverses
• Numerical algorithms for the Moore-Penrose inverse of a matrix: direct methods
• Generalized inverses of two-variable polynomial matrices and applications
• The computation and application of the generalized inverse via Maple
• The algorithm for computing the Drazin inverses of two-variable polynomial matrices
• Partitioning method for rational and polynomial matrices
• Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion
• Further results on output control in the servomechanism sense
• Transfer-function matrix synthesis by matrix generalized inverses
• Leverrier’s Algorithm: A New Proof and Extensions
• Some Applications of the Pseudoinverse of a Matrix