Accession Number : AD0631439
Title : ''T-BOUNDS'' FOR COMPUTATIONS: UPPER AND LOWER BOUNDS FOR CALCULATIONS AND DATA REDUCTION.
Descriptive Note : Technical rept.,
Corporate Author : PACIFIC MISSILE RANGE POINT MUGU CALIF
Personal Author(s) : Thorne,C. J. ; Claassen,R. W.
Report Date : 01 MAY 1965
Pagination or Media Count : 93
Abstract : Basic Arithmetic: Optimum bounds are given for independent variable arithmetic operations on desk calculators or high-speed computers. These bounds are designated as 'T-bounds.' Efficient IBM 7094 machine language codes for these arithmetic operations are listed. Examples are included. Results for an Inverse Matrix: Bounds for the test matrix whose elements are a sub ij = 1/(i + j - 1) are calculated for single-precision floating-point IBM 7094 arithmetic. An inviting conjecture for improved accuracy is noted. Function Routines: T-bound computer routines for the square-root, sine, cosine, are-tangent, and exponential functions are listed and their theoretical bases discussed. (Author)
Descriptors : (*COMPUTER PROGRAMMING, *NUMERICAL ANALYSIS), OPTIMIZATION, MATRICES(MATHEMATICS), ALGEBRA, SPECIAL FUNCTIONS(MATHEMATICAL)
Subject Categories : Theoretical Mathematics
Computer Programming and Software
Distribution Statement : APPROVED FOR PUBLIC RELEASE