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):

Report Date:

1965-05-01

Pagination or Media Count:

93.0

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 1i 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

Subject Categories:

  • Theoretical Mathematics
  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE