A finite algorithm for generalized inverses of polynomial and rational matrices

DOI10.1016/S0096-3003(02)00401-0zbMath1028.65035MaRDI QIDQ1405054

Predrag S. Stanimirović

Publication date: 25 August 2003

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

zbMATH Keywords

Drazin inverserational matrixgeneralized inversesMoore-Penrose inversepolynomial matrixdual algorithmsouter inversesLeverrier-Faddeev algorithmpackage MATHEMATICAreflexive \(g\)-inversessymbolic computation.

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Matrices over function rings in one or more variables (15A54)

Related Items (9)

Symbolic computation of weighted Moore-Penrose inverse using partitioning method ⋮ Interpolation algorithm of Leverrier-Faddev type for polynomial matrices ⋮ Extensions of Faddeev's algorithms to polynomial matrices ⋮ Effective partitioning method for computing weighted Moore-Penrose inverse ⋮ Symbolic and recursive computation of different types of generalized inverses ⋮ Computing generalized inverses using LU factorization of matrix product ⋮ An efficient method to compute different types of generalized inverses based on linear transformation ⋮ A study on new right/left inverses of nonsquare polynomial matrices ⋮ Perfect control for right-invertible Grünwald-Letnikov plants - an innovative approach to practical implementation

Uses Software

• Mathematica

Cites Work

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• Computation of the generalized inverse of a polynomial matrix and applications
• Report on test matrices for generalized inverses
• A new extension of Leverrier's algorithm
• Limit representations of generalized inverses and related methods
• An alternative limit expression of Drazin inverse and its application
• Generalized inverses of two-variable polynomial matrices and applications
• The computation and application of the generalized inverse via Maple
• A finite algorithm for the Drazin inverse of a polynomial matrix
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• On the computation of the generalized inverse of a polynomial matrix
• More on the Souriau–Frame Algorithm and the Drazin Inverse
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion

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