''T-BOUNDS'' FOR COMPUTATIONS: UPPER AND LOWER BOUNDS FOR CALCULATIONS AND DATA REDUCTION.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1965
- Accession Number
- AD0631439
Entities
People
- C. J. Thorne
- R. W. Claassen