Computer Arithmetic in Theory and PracticeMathematics of Computing -- Numerical Analysis. |
Contents
Introduction and Preliminary Definition of Computer Arithmetic | 1 |
First Concepts | 13 |
Screens and Roundings | 31 |
Copyright | |
26 other sections not shown
Other editions - View all
Computer Arithmetic in Theory and Practice Ulrich W. Kulisch,Willard L. Miranker Limited preview - 2014 |
Common terms and phrases
a,be a₁ a₂ addition additive inverse algorithm b-adic expansions b₁ b₂ binary digit complete lattice completely and linearly completely and weakly completely ordered complex interval complex numbers computer arithmetic convex hull data types definition denote digits of base error execution exponent EXPRESSION false true floating-point numbers floating-point system following theorem formulas FUNCT ID greatest element groupoid IM„R inf(A infimum integer interval arithmetic interval vectors isomorphism Lemma linearly ordered ringoid lower resp M„IR mantissa mapping matrices monotone upper screen monotone upwardly directed neutral elements obtain operands order relation ordered division ringoid ordered set outer multiplication programming languages Proof real numbers respect result screen ringoid semimorphism subset subtraction sup(A supremum symmetric screen Theorem Theorem 4.4 underflow upwardly directed rounding VARIABLE vector vertical method weakly ordered ringoid X₁ Y₁ Y₂ zero