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Clenshaw, CV, Olver, FWJ and Turner, PR (1989)

Level-Index Arithmetic - An Introductory Survey

Lecture Notes in Mathematics 1397, pp. 95-168.

ISSN/ISBN: 0075-8434 DOI: 10.1007/BFb0085718

Abstract: FOREWORD: Each of the following seven lectures was prepared and presented by its named author, but it has been our intention that this set of seven should form a unified whole which will provide an introduction to the subject; we have collaborated in an endeavour to produce a compatibility of approach and to secure a uniformity of notation. The first two lectures prepare the way for their successors by demonstrating the motivation for seeking arithmetic systems other than floating point, and by describing some of the early responses to the need. The next four lectures describe the level-index system and its most important properties, show how it can be implemented and how it performs on some numerical examples. Finally, Lecture 7 points to the future by showing ways in which implementation may be made more efficient.

@InProceedings{10.1007/BFb0085718, author="Clenshaw, C. W. and Olver, F. W. J. and Turner, P. R.", editor="Turner, Peter R.", title="Level-index arithmetic: An introductory survey", booktitle="Numerical Analysis and Parallel Processing", year="1989", publisher="Springer Berlin Heidelberg", address="Berlin, Heidelberg", pages="95--168", isbn="978-3-540-46732-8" }

Reference Type: Book Chapter

Subject Area(s): Analysis, Applied Mathematics, Numerical Analysis