@book{cdd3bf7bcbca4645ac530a2352a744a1,

title = "Core Chasing Algorithms for the Eigenvalue Problem",

abstract = "Eigenvalue computations are ubiquitous in science and engineering. John Francis{\textquoteright}s implicitly shifted QR algorithm has been the method of choice for small to medium sized eigenvalue problems since its invention in 1959. This book presents a new view of this classical algorithm. While Francis{\textquoteright}s original procedure chases bulges, the new version chases core transformations, which allows the development of fast algorithms for eigenvalue problems with a variety of special structures. This also leads to a fast and backward stable algorithm for computing the roots of a polynomial by solving the companion matrix eigenvalue problem. The authors received a SIAM Outstanding Paper prize for this work.",

author = "Aurentz, {Jared L.} and Thomas Mach and Leonardo Robol and Raf Vandebril and Watkins, {David S.}",

year = "2018",

month = jul,

language = "English",

isbn = "978-1-611975-33-8",

series = "Fundamentals of Algorithms",

publisher = "Society of Industrial and Applied Mathematics",

address = "United States",

}