Margarida Mitjana Riera

Associate professor at UPC
Research area: Discrete Mathematics

PhD in Mathematics obtained at Universitat Politècnica de Catalunya (1999)


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 appliedContemp. Math., 658, Amer. Math. Soc., Providence, RI (2016), 149-166.

A. Carmona, M. Mitjana, E. Monsó. Effective resistances and Kirchhoff index in subdivision networksLinear 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-matricesLinear Algebra Appl. 432(2010), 2438 - 2454.