@Bibtex-file{Math/UIA.bib,
  title =        "Bibliography on ``Numerical techniques from Rational
                 approximation theory'' and on ``Computer arithmetic''",
  editor =       "Annie Cuyt",
  email =        "Annie.Cuyt@uia.ua.ac.be",
  address =      "Research group {"}Computer Arithmetic and Numerical
                 Techniques{"}\\ Department of Mathematics and Computer
                 Science\\ Universiteit Antwerpen (UIA)\\
                 Universiteitsplein 1\\ B 2610 Antwerpen-Wilrijk\\
                 Belgium (Europe)",
  supported =    "yes",
  abstract =     "This list of more than 2500 references has been
                 gathered over the past 20 years, from the point of view
                 that we want to study and reliably compute
                 generalizations of Pad{\'e} approximants. We also refer
                 the reader to the following list of
                 \htmladdnormallink{abbreviations}
                 {http://win-www.uia.ac.be/u/cant/abbreviations.html} in
                 order to get an idea of the topics that are
                 covered.\par The bibliography is in no way complete but
                 rather a personal selection and reflects of course the
                 availability of journals in our university library and
                 libraries visited while traveling, as well as the
                 succession of research themes and the correspondence
                 with colleagues throughout the years.",
  readme =       "Thanks are due to: Gerd Neugebauer, author of BibTool,
                 and Eyal Doron, author of BibDB, for their prompt reply
                 to all our questions and the speedy implementation of
                 some of our suggestions, to my daughter Annelies van
                 Soom for helping me with the constant updating of the
                 database of references, and last but certainly not
                 least, to Stefan Becuwe for the conversion of the
                 entire old database from Clipper to BibTeX with all its
                 functionality, and for his invaluable support.",
  keywords =     "Extrapolation techniques and Convergence acceleration
                 , Some real-world industrial applications (use of
                 rational approximants,, use of non-standard
                 arithmetic), Computer arithmetic (none of the more
                 specific keywords), Best (non-rational) approximation
                 (uniform, least-squares, ...), Continued fraction
                 material, Convergence problems: sequences of
                 approximants, iterative, procedures, recursive schemes,
                 Differential and Difference equations, also
                 Differentiation, IEEE standard related material, Error
                 analysis and Stability of numerical algorithms, Exact
                 rational arithmetic, Floating-point computing and
                 Floating-point arithmetic, standard, precisions and
                 multiprecision, Implementation of Standard and Special
                 functions, Fuzzy arithmetic, Fixpoint problems,
                 Hardware related information, Integration and Integral
                 equations, Interval arithmetic, Linear algebra
                 material, Matrix (rational) approximation, Multivariate
                 Pad approximation, Moment problems, Multivariate
                 rational interpolation, Number theoretic results in the
                 area, Solving a Nonlinear equation in one variable,
                 Solving Nonlinear systems of equations, Object-oriented
                 methodology (for numerics), Operator equations and
                 Abstract spaces, Orthogonal polynomials (connection
                 with Pad approximation), Polynomial techniques, as
                 opposed to rational interpolation and, approximation,
                 Performance considerations, Programming language
                 material related to one of the other topics, Best
                 rational approximation, Recursive computational
                 techniques, Recurrence relations for Pad ,
                 approximants, continued fraction convergents,
                 orthogonal polynomials,, Reliable computing,
                 Validation, Symbolic-numeric algorithms, Accurate,
                 expression evaluation, Floating-point testing,
                 Scientific computation (general), Software, Routines,
                 Programs, Algorithms etc., Splines, Surveys, Background
                 material and Basic mathematics, Stochastic arithmetic,
                 Summation of series and Series related material,
                 Symbolic computing, Systems theory, Univariate Pade
                 approximation, Univariate rational interpolation,
                 Vector (rational) approximation, Expert Systems,
                 Problem Solving Environments",
}