Accession Number : ADA130306

Title :   Accurate Computation of Divided Differences of the Exponential Function,

Corporate Author : CALIFORNIA UNIV BERKELEY CENTER FOR PURE AND APPLIED MATHEMATICS

Personal Author(s) : McCurdy,A C ; Ng,K C ; Parlett,B N

PDF Url : ADA130306

Report Date : Jun 1983

Pagination or Media Count : 68

Abstract : The traditional recurrence for the computation of exponential divided differences, along with a new method based on the properties of the exponential function, are studied in detail in this paper. Our results show that it is possible to combine these two methods to compute exponential divided differences accurately. A hybrid algorithm is presented for which our error bound grows quite slowly with the order of the divided difference. (Author)

Descriptors :   *Exponential functions, *Numerical analysis, *Algorithms, Computations, Numerical methods and procedures, Errors, Theorems, Taylors series, Accuracy, Matrices(Mathematics), Coordinates

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE