Margarida Mitjana Riera
Biosketch
Currently at Mathematics Department in the Universitat Politècnica de Catalunya. Member of the research group Compthe, mainly focused on M-Matrix Analysis and Discrete Potential Theory.
We analyze linear problems and discrete boundary value problems from a Potential Theory point of view.
Research lines
Discrete vector calculus
Boundary value problems on networks associated with discrete elliptic operators
Effective resistances and Kirchhoff index
M-matrix inverse problems
Selected publications
Araúz, A. Carmona, A.M. Encinas, M. Mitjana. Recovering the conductances on grids: a theoretical justification, in A panorama of mathematics: pure and applied. Contemp. Math., 658, Amer. Math. Soc., Providence, RI (2016), 149-166.
A. Carmona, M. Mitjana, E. Monsó. Effective resistances and Kirchhoff index in subdivision networks. Linear and Multilinear Algebra, 65(2016), 1823-1837.
A. Carmona, A.M. Encinas, M. Mitjana. Discrete elliptic operators and their Green operators. Linear Algebra Appl. 442(2014), 115-134.
E. Bendito, A. Carmona, A.M. Encinas, M. Mitjana, Generalized inverses of symmetric M-matrices. Linear Algebra Appl. 432(2010), 2438 - 2454.