The group inverse of some circulant matrices

Autor: María José Jiménez Jiménez, Andrés M. Encinas, Angeles Carmona, Margarida Mitjana

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In a previous work the authors presented the necessary and sufficient conditions for the invertibility of some circulant matrices that depend on three real parameters and, moreover, we obtained a closed formula for their inverse. The techniques we us

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6899ec2797a5ee7fdb979a55d5c3eba0
https://doi.org/10.1016/j.laa.2020.11.002

The group inverse of circulant matrices depending on four parameters

Autor: Margarida Mitjana, Angeles Carmona, Andrés M. Encinas, María José Jiménez Jiménez

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Special Matrices, Vol 10, Iss 1, Pp 87-108 (2021)

Explicit expressions for the coefficients of the group inverse of a circulant matrix depending on four complex parameters are analytically derived. The computation of the entries of the group inverse are now reduced to the evaluation of a polynomial.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ec45634d7ebb0cd7a607f321f24adf8
https://hdl.handle.net/2117/357099

Eigenvalues with respect to a weight for general boundary value problems on networks

Autor: Angeles Carmona, Andrés M. Encinas, Margarida Mitjana

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this work we analyze self-adjoint boundary value problems on networks for Schrödinger operators, in which a part of the boundary with a Neumann condition is always considered. We first characterize when the energy is positive semi-definite on the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47051f7daf57b4bca1776852a61bae87
https://hdl.handle.net/2117/336840

Group inverse matrix of the normalized Laplacian on subdivision networks

Autor: Enric Monsó, Margarida Mitjana, Angeles Carmona

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

In this paper we consider a subdivision of a given network and we show how the group inverse matrix of the normalized laplacian of the subdivision network is related to the group inverse matrix of the normalized laplacian of the initial given network

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::620b47b113647b83479586b3322723b6
https://hdl.handle.net/2117/334458

Overdetermined partial resolvent kernels for finite networks

Autor: Angeles Carmona, C. Araúz, Andrés M. Encinas

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In [2], a study of the existence and uniqueness of solution of partial overdetermined boundary value problems for finite networks was performed. These problems involve Schrodinger operators and the novel feature is that no data are prescribed on part

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c879ce4bb14e938ad37310b6b9309d63
https://doi.org/10.1016/j.jmaa.2015.10.028