
Accession Number : AD0631439
Title : ''TBOUNDS'' 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 highspeed computers. These bounds are designated as 'Tbounds.' 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 singleprecision floatingpoint IBM 7094 arithmetic. An inviting conjecture for improved accuracy is noted. Function Routines: Tbound computer routines for the squareroot, sine, cosine, aretangent, 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