Explicit formulae for the greatest least-squares and minimum norm \(g\)-inverses and the unique group inverse of matrices over commutative residuated dioids
DOI10.1007/s00233-015-9771-8zbMath1351.15005OpenAlexW2275342204MaRDI QIDQ309947
Hanieh Tavakolipour, Behnam Hashemi, Mahsa Nasrollahi Shirazi
Publication date: 7 September 2016
Published in: Semigroup Forum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00233-015-9771-8
latticesemigroupBoolean algebrasgeneralized inversesgroup inversematrix equationresiduation theorydioidleast squares \(g\)-inversemax-plus semiringsminimum norm \(g\)-inverseThierrin-Vagner inverse
Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Complete lattices, completions (06B23) Logical aspects of Boolean algebras (03G05) Max-plus and related algebras (15A80)
Cites Work
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- Weighted Moore-Penrose inverse of a Boolean matrix
- Resolution of matrix equations over arbitrary Brouwerian lattices
- On matrix equations in a class of complete and completely distributive lattices
- On generalized inverses of Boolean matrices
- Regular elements of the semigroup of all binary relations
- Computing the maximum generalized inverse of a Boolean matrix
- Inverses of Boolean matrices
- Lattices and ordered algebraic structures
- Generalized inverses. Theory and applications.
- Graphs, dioids and semirings. New models and algorithms.
- Moore--Penrose Inverse of Matrices on Idempotent Semirings
- The Drazin inverse in an arbitrary semiring
- Max-linear Systems: Theory and Algorithms
- Generalized Inverses of Boolean Relation Matrices
- Completely Distributive Complete Lattices
- Graphs and matrices
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