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oai:recercat.cat:2117/4461922026-02-04T01:33:51Zcom_2072_1033col_2072_452950

Combinatorial formulas for determinant, permanent, and inverse of some circulant matrices with three parameters Panelo, Cristian Rafael Encinas Bachiller, Andrés Marcos Videla, Denis E. Universitat Politècnica de Catalunya. Departament de Matemàtiques Universitat Politècnica de Catalunya. OMGRAPH - Optimisation Methods on Graphs Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Àlgebra lineal i multilineal Algebras Linear Matrices Classificació AMS::05 Combinatorics::05C Graph theory Classificació AMS::15 Linear and multilinear algebra; matrix theory We give closed formulas for determinant, permanent, and inverse of circulant matrices with three non-zero coefficients. The techniques that we use are related to digraphs associated with these matrices. This work was partially supported by Universidad Nacional de San Luis, Argentina, grant PROICO 03-0918; MATH AmSud, grant 21-MATH-05; and Agencia Nacional de Promoci´on de la Investigaci´on, el Desarrollo Tecnol´ogico y la Innovaci´on, Argentina, grant PICT 2020-Serie A-00549. Peer Reviewed Postprint (published version) 2025-01-01 Article Panelo, C.; Encinas, A.; Videla, D. Combinatorial formulas for determinant, permanent, and inverse of some circulant matrices with three parameters. «Revista de la Union Matematica Argentina», 1 Gener 2025, vol. 68, núm. 1, p. 231-242. 0041-6932 https://hdl.handle.net/2117/446192 10.33044/revuma.3886 eng https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v68n1a13 Open Access 12 p. application/pdf