BibTeX
@BOOK{
         Aberth1988PNA,
       AUTHOR = "Aberth, Oliver",
       TITLE = "Precise Numerical Analysis",
       PUBLISHER = "William Brown",
       ADDRESS = "Dubuque, Iowa",
       YEAR = "1988",
       COMMENT = "Text for a one semester, junior level course in numerical analysis. Includes PC disk
         with software written in PBASIC. Sound introductory level discussion of code lists and error capture
         techniques.",
       KEYWORDS = "general numerical analysis; interval techniques; differentiation arithmetic;
         variable precision arithmetic; linear algebra; differentiation; integration; ordinary differential
         equations.",
       ABSTRACT = "Aberth addresses elementary issues of precise floating point computations using
         variable precision range arithmetic. Numbers are represented as a variable precision number
         $\pm$ a range. Rational arithmetic is also considered. Chapters are devoted to
         \begin{enumerate} \item rootfinding, \item polynomial rootfinding, \item
         numerical linear algebra, \item differentiation and integration, and \item ordinary
         differential equations.\end{enumerate} Differentiation is handled by a codelist approach like
         [Rall1981ADT], and applications to Taylor series are given. Interval techniques for ordinary
         differential equations are based on using an {\it a priori\/} bound to capture remainder
         terms. Several methods are illustrated, including Taylor series methods.",
       ad_theotech = "General"
}