Differentiation of generalized inverses for rational and polynomial matrices
type: Item
instance of: scholarly article
title: Differentiation of generalized inverses for rational and polynomial matrices
zbMATH Open document ID: 1191.65019
author: Milan B. Tasić
author: Predrag S. Stanimirović
published in: Applied Mathematics and Computation
publication date: 2010-06-25T00:00:00Z
Mathematics Subject Classification ID: 65D25
zbMATH DE Number: 5726776
zbMATH Keywords: pseudo-inverses
zbMATH Keywords: gradient of the pseudo-inverse
zbMATH Keywords: rational matrices
zbMATH Keywords: polynomial matrices
zbMATH Keywords: MATHEMATICA
describes a project that uses: Mathematica
MaRDI profile type: Publication
full work available at URL: j.amc.2010.03.043
OpenAlex ID: W2070423716
cites work: Leverrier’s Algorithm: A New Proof and Extensions
cites work: Differentiation of the Drazin Inverse
cites work: Dynamic programming and pseudo-inverses
cites work: Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion
cites work: Some Applications of the Pseudoinverse of a Matrix
cites work: The computation and application of the generalized inverse via Maple
cites work: Computation of the generalized inverse of a polynomial matrix and applications
cites work: Generalized inverses of two-variable polynomial matrices and applications
cites work: Matrix inversion algorithms by means of automatic differentiation
cites work: Q4385923
cites work: The mathematics of eigenvalue optimization
cites work: Q5690370
cites work: On sensitivity analysis of discrete structural systems
cites work: Transfer-function matrix synthesis by matrix generalized inverses
cites work: Further results on output control in the servomechanism sense
cites work: An introduction to the application of the simplest matrix-generalized inverse in systems science
cites work: Simplified calculation of eigenvector derivatives
cites work: Symbolic computation of the Moore–Penrose inverse using a partitioning method
cites work: Effective partitioning method for computing weighted Moore-Penrose inverse
cites work: Proof by verification of the Greville/Udwadia/Kalaba formula for the Moore-Penrose inverse of a matrix
cites work: Partitioning method for rational and polynomial matrices
cites work: Symbolic computation of weighted Moore-Penrose inverse using partitioning method
cites work: Symbolic and recursive computation of different types of generalized inverses
cites work: On the computation of the generalized inverse of a polynomial matrix
cites work: A unified approach for the recursive determination of generalized inverses
cites work: An alternative proof of the Greville formula
cites work: General forms for the recursive determination of generalized inverses: Unified approach
cites work: Q4727284
cites work: Q4718428
cites work: Report on test matrices for generalized inverses
DOI: 10.1016/J.AMC.2010.03.043
description: scientific article; zbMATH DE number 5726776