The inverse matrix of some circulant and symmetric matrices
Author
Carmona, A.; Encinas, A.; Gago, S.; Jiménez, M.J.; Mitjana, M.
Type of activity
Presentation of work at congresses
Name of edition
Workshop on Algebraic Combinatorics 2015
Date of publication
2015
Presentation's date
2015-06-17
Book of congress proceedings
Abstracts of the Workshop on Algebraic Combinatorics 2015, 17th-18th of June 2015 at Tilburg University, The Netherlands
First page
7
Last page
7
Abstract
In this work, we consider circulant matrices of type A = Circ(a, -b, -c, . . . , -c, b). This type of matrices
raise, among others, when dealing for example, with the problem of computing the Green function of some
networks obtained by the addition of new vertices to a previously known one. We give a necessary and
sufficient condition for its invertibility. Moreover, as it is known, their inverse is a circulant matrix and we
explicitely give a closed formula for the expression of the coefficient...
In this work, we consider circulant matrices of type A = Circ(a, -b, -c, . . . , -c, b). This type of matrices
raise, among others, when dealing for example, with the problem of computing the Green function of some
networks obtained by the addition of new vertices to a previously known one. We give a necessary and
sufficient condition for its invertibility. Moreover, as it is known, their inverse is a circulant matrix and we
explicitely give a closed formula for the expression of the coefficients.