Bibliographic record for `Marques:2008:ATI'

@Article{Marques:2008:ATI,
  author =       "Osni A. Marques and Christof V\"omel and James W. Demmel and Beresford N. Parlett",
  title =        "Algorithm 880: A Testing Infrastructure for Symmetric Tridiagonal Eigensolvers",
  journal =      "{ACM} Transactions on Mathematical Software",
  volume =       "35",
  number =       "1",
  month =        jul,
  year =         "2008",
  pages =        "8",
  note =         "Article 8, 13 pages",
  URL =          "http://doi.acm.org/10.1145/1377603.1377611",
  abstract =     "LAPACK is often mentioned as a positive example of a software library that encapsulates complex, 
                 robust, and widely used numerical algorithms for a wide range of applications. At installation time, 
                 the user has the option of running a (limited) number of test cases to verify the integrity of the 
                 installation process. On the algorithm developer's side, however, more exhaustive tests are usually 
                 performed to study algorithm behavior on a variety of problem settings and also computer architectures. 
                 In this process, difficult test cases need to be found that reflect particular challenges of an 
                 application or push algorithms to extreme behavior. These tests are then assembled into a comprehensive 
                 collection, therefore making it possible for any new or competing algorithm to be stressed in a similar 
                 way. This paper describes an infrastructure for exhaustively testing the symmetric tridiagonal eigensolvers 
                 implemented in LAPACK. It consists of two parts: a selection of carefully chosen test matrices with 
                 particular idiosyncrasies and a portable testing framework that allows for easy testing and data processing. 
                 The tester facilitates experiments  with algorithmic choices, parameter and threshold studies, and
                 performance comparisons on different architectures.",
}