Decay properties for functions of matrices over C⁎-algebras

Michele Benzi (1) , Paola Boito (2)

1 Department of Mathematics and Computer Science [Emory University]
2 XLIM-DMI - DMI

We extend previous results on the exponential off-diagonal decay of the entries of analytic functions of banded and sparse matrices to the case where the matrix entries are elements of a C⁎-algebra.

Mots clés: Matrix functions; C⁎-algebras; Exponential decay; Sparse matrices; Graphs; Functional calculus

Michele Benzi, Paola Boito. Decay properties for functions of matrices over C⁎-algebras. Linear Algebra and its Applications, 2013, Online, 25 p. ⟨10.1016/j.laa.2013.11.027⟩. ⟨hal-00934167⟩