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"
}
