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