Accession Number : AD0723806

Title :   Rigorous Bounds on Computed Approximations to Square Roots and Cube Roots.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Yohe,J. M.

Report Date : SEP 1970

Pagination or Media Count : 28

Abstract : Algorithms are given for computing rigorous upper and lower bounds for the square rtoo and the cube root of real machine representable numbers, subject to the condition that the computer operates in the binary number system and allows upward directed rounding. The bounds on the square root are best possible, whereas the cube root is determined within three significant bits. (Author)

Descriptors :   (*NUMERICAL METHODS AND PROCEDURES, ACCURACY), COMPUTER PROGRAMMING, ITERATIONS, ALGORITHMS, APPROXIMATION(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE