Computing generalized inverses of a rational matrix and applications

DOI10.1007/BF02832302zbMath1129.65026MaRDI QIDQ2454966

Predrag S. Stanimirović, Milan B. Tasić, Nicholas P. Karampetakis

Publication date: 22 October 2007

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

zbMATH Keywords

algorithmDrazin inverseMATHEMATICArational matrixgeneralized inversesMoore-Penrose inverserational matricesLeverrier-Faddeev algorithmsymbolic implementation

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)

Related Items (1)

EP matrices: computation of the Moore-Penrose inverse via factorizations

Uses Software

• Mathematica

Cites Work

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• Computation of the generalized inverse of a polynomial matrix and applications
• Condition number for the \(W\)-weighted Drazin inverse and its applications in the solution of rectangular linear system
• Weighted generalized inverses of partitioned matrices in Banachiewicz-Schur form
• On the modified Leverrier-Faddeev algorithm
• A new extension of Leverrier's algorithm
• 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
• The algorithm for computing the Drazin inverses of two-variable polynomial matrices
• The Souriau-Frame algorithm and the Drazin pseudoinverse
• On the computation of the generalized inverse of a polynomial matrix
• Leverrier's algorithm for singular systems
• Computation of the inverse of a polynomial matrix and evaluation of its Laurent expansion
• More on the Souriau–Frame Algorithm and the Drazin Inverse
• An introduction to the application of the simplest matrix-generalized inverse in systems science
• Leverrier’s Algorithm: A New Proof and Extensions
• An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion

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