2026-04-17T04:21:00Zhttps://recercat.cat/oai/request

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. 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 https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v68n1a13 Open Access