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A formula for the determinant of a sum of matrices

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Publication:1092976
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DOI10.1007/BF00401158zbMath0628.15005OpenAlexW2003518408MaRDI QIDQ1092976

Christophe Reutenauer, Schützenberger, Marcel-Paul

Publication date: 1987

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00401158

zbMATH Keywords

commutative ringcircular wordsdeterminant of a sum of matricesHamilton-Cayley theoremsymmetric functions of the eigenvalues


Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Matrix equations and identities (15A24)


Related Items

Cayley Hamilton algebras, The quaternionic weighted zeta function of a graph, Invariants of \(\mathbb{Z}/p\)-homology 3-spheres from the abelianization of the level-\(p\) mapping class group, Graph coverings and twisted operators, On a notion of ``Galois closure for extensions of rings, The quaternionic second weighted zeta function of a graph and the Study determinant, Norms and Cayley-Hamilton algebras, Isomorphisms of discriminant algebras, A Combinatorial Proof of Bass’s Evaluations of the Ihara-Selberg Zeta Function for Graphs



Cites Work

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  • Factorizing words over an ordered alphabet
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