A noncommutative version of the matrix inversion formula

DOI10.1016/0001-8708(79)90049-5zbMath0418.15004OpenAlexW2043488155MaRDI QIDQ755633

Foata, Dominique

Publication date: 1979

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(79)90049-5

zbMATH Keywords

determinantsmatrix inversion

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15)

Related Items

Algebraic properties of Manin matrices. I, Counting acyclic digraphs by sources and sinks, Weakly directed self-avoiding walks, Non-commutative extensions of the MacMahon Master Theorem, Quasideterminants, Acyclic orientations and the chromatic polynomial, A non-commutative version of Jacobi's equality on the cofactors of a matrix, A theory of noncommutative determinants and characteristic functions of graphs

Cites Work

• Combinatorial problems of commutation and rearrangements