DFT calculation of the generalized and Drazin inverse of a polynomial matrix

DOI10.1016/S0096-3003(02)00377-6zbMath1025.65025OpenAlexW1993041886MaRDI QIDQ1399813

Stavros Vologiannidis, Nicholas P. Karampetakis

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00377-6

zbMATH Keywords

algorithmsnumerical examplesdiscrete Fourier transformDrazin inversegeneralized inverseMathematicapolynomial matrix

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Numerical methods for discrete and fast Fourier transforms (65T50) Matrices over function rings in one or more variables (15A54)

Related Items

Symbolic computation of weighted Moore-Penrose inverse using partitioning method, Extensions of Faddeev's algorithms to polynomial matrices, Interpolation algorithm for computing Drazin inverse of polynomial matrices, Fixed-time convergence integral-enhanced ZNN for calculating complex-valued flow matrix Drazin inverse, On the computation of the inverse of a two-variable polynomial matrix by interpolation, Effective partitioning method for computing weighted Moore-Penrose inverse, On the Leverrier-Faddeev algorithm for computing the Moore-Penrose inverse, On the Newton bivariate polynomial interpolation with applications, Symbolic and recursive computation of different types of generalized inverses, Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries, DFT calculation for the \(\{2\}\)-inverse of a polynomial matrix with prescribed image and kernel, \(n\)-order linear state space systems: computing the transfer function using the DFT

Uses Software

• Mathematica

Cites Work

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• Computation of the generalized inverse of a polynomial matrix and applications
• The computation and application of the generalized inverse via Maple
• A new method for computing the solutions of differential equation systems using generalized inverse via Maple
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• Polynomial design methods
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
• Transfer function computation for generalized \(n\)-dimensional systems