Algebra and Logic Seminar - 7/5/2014

Wednesday, 7 May 2014, 2:00 p.m.

Lecturer: Pedro Freitas (CELC/DM/FC-UL)

Title: "Derivatives of Functions of Matrices"

Local: Room 1.4, Edifício VII
Faculdade de Ciências e Tecnologia, Quinta da Torre, Caparica

Abstract: In this talk we present formulas for the directional derivatives of some matrix functions. Recent work has been done by R. Bhatia, T. Jain and P. Grover on this subject, for the determinant and permanent functions and for symmetric powers (induced power of a matrix) and skew-symmetric powers (compound matrix). We generalize these results for immanants and the respective symmetric powers. We will also discuss formulas for the norms of these derivatives.