Gröbner basis computation of Drazin inverses with multivariate rational function entries

DOI10.1016/j.amc.2015.02.070zbMath1390.15068OpenAlexW1999233882MaRDI QIDQ1636865

Sendra, Juana, Juan Rafael Sendra

Publication date: 7 June 2018

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

Full work available at URL: http://oa.upm.es/44925/

zbMATH Keywords

Gröbner basessymbolic computationDrazin inverse

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Theory of matrix inversion and generalized inverses (15A09) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Linear ordinary differential equations and systems (34A30) Matrices over function rings in one or more variables (15A54)

Related Items (7)

Displacement structure of the core inverse ⋮ Representations and geometrical properties of generalized inverses over fields ⋮ Computation of Moore-Penrose generalized inverses of matrices with meromorphic function entries ⋮ Representations and symbolic computation of generalized inverses over fields ⋮ Computing tensor generalized inverses via specialization and rationalization ⋮ Symbolic computation of Drazin inverses by specializations ⋮ Inner Bohemian inverses

Cites Work

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• The computation of Drazin inverse and its application in Markov chains
• Symbolic and recursive computation of different types of generalized inverses
• The algorithm for computing the Drazin inverses of two-variable polynomial matrices
• A finite algorithm for the Drazin inverse of a polynomial matrix
• Generalized inverses. Theory and applications.
• Polynomial algorithms in computer algebra
• On Drazin inverse of singular Toeplitz matrix
• Symbolic computation of weighted Moore-Penrose inverse using partitioning method
• Extensions of Faddeev's algorithms to polynomial matrices
• The Drazin inverse of a singular, unreduced tridiagonal matrix
• Successive matrix squaring algorithm for computing outer inverses
• Analytic Perturbation Theory and Its Applications
• Pseudo-Inverses in Associative Rings and Semigroups
• Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients

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