Artificial Intelligence and Machine Learning – Page 136

Research and Advances Mar 1 1967

Algorithm 297: Eigenvalues and Eigenvectors of the symmetric system

Research and Advances Feb 1 1967

Problems in the statistical analysis of simulation experiments: the comparision of means and the length of sample records

George S. Fishman

Research and Advances Feb 1 1967

Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations

R. E. Bellman, H. H. Kagiwada, and R. E. Kalaba

Research and Advances Jan 1 1967

A note on computing approximations to the exponential function

Two methods are discussed which result in near minimax rational approximations to the exponential function and at the same time retain the desirable property that the approximation for negative values of the argument is the reciprocal of the approximation for corresponding positive values. These methods lead to approximations which are much superior to the commonly used convergents of the Gaussian continued fraction for the exponential. Coefficients and errors are given for the intervals [-1/2 ln 2, 1/2 ln 2] and [-ln 2, ln 2]. Two methods are discussed which result in near minimax rational approximations to the exponential function and at the same time retain the desirable property that the approximation for negative values of the argument is the reciprocal of the approximation for corresponding positive values. These methods lead to approximations which are much superior to the commonly used convergents of the Gaussian continued fraction for the exponential. Coefficients and errors are given for the intervals [-1/2 ln 2, 1/2 ln 2] and [-ln 2, ln 2].

W. J. Cody and Anthony Ralston

Research and Advances Jan 1 1967

A code for non-numeric information processing applications in online systems

A code has been specifically designed to simplify the internal information processing operations within an online computer system with respect to non-numeric applications, and to maximize the transfer rate of the information channel linking the system and the system user. The code has direct application to problems in areas such as information retrieval, document classification, computer-aided teaching and text editing. This code, called IPC (Information Processing Code), is an 8-bit code set constructed so that 7, 6, 5 and 4-bit subsets can be easily derived from the basic set. The code set is organized so that simple binary operations can distinguish between the numeric alphabetic, special symbol and control character codes. The number of useable characters within the basic set size may be expanded either by use of escape codes included in the set, or by suitable interpretation of otherwise unassigned codes on the basis of the requirements of local environments.

Edward Morenoff and John B. McLean

Research and Advances Jan 1 1967

On the computation of least squares polynomials

Rounding error accumulated during digital computation of a least squares polynomial makes the computed polynomial only an approximation to the true least squares polynomial. A simple method for adjusting the constant term of the computed polynomial to get a better approximation to the true least squares polynomial is described.

Morton Goldberg

Research and Advances Jan 1 1967

System performance evaluation: survey and appraisal

The state of the art of system performance evaluation is reviewed and evaluation goals and problems are examined. Throughput, turnaround, and availability are defined as fundamental measures of performance; overhead and CPU speed are placed in perspective. The appropriateness of instruction mixes, kernels, simulators, and other tools is discussed, as well as pitfalls which may be encountered when using them. Analysis, simulation, and synthesis are presented as three levels of approach to evaluation, requiring successively greater amounts of information. The central role of measurement in performance evaluation and in the development of evaluation methods is explored.

Peter Calingaert