@inbook{ea95a7d27a824018a01555208f876e9a,

title = "Numerical approximation of the field of values of the inverse of a large matrix",

abstract = "We consider the approximation of the field of values of the inverse of a large sparse matrix, without explicitly computing the inverse or using its action (i.e., accurately solving a linear system with this matrix). We review results by Manteuffel and Starke and give an alternative that may yield better approximations in practice. We give connections with the harmonic Rayleigh-Ritz approach. Several properties and applications of the studied concepts as well as numerical examples are provided.",

author = "M.E. Hochstenbach and D.A. Singer and P.F. Zachlin",

year = "2013",

language = "English",

isbn = "978-972-8564-48-3",

series = "Textos de Matem{\'a}tica",

publisher = "University of Coimbra",

pages = "59--71",

editor = "C. Fonseca and S. Furtado and A. Kovacec and C.-K. Li",

booktitle = "The Nat{\'a}lia Bebiano anniversary volume",

}