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Research and Advances

Interval arithmetic determinant evaluation and its use in testing for a Chebyshev system

Two recent papers, one by Hansen and one by Hansen and R. R. Smith, have shown how Interval Arithmetic (I.A.) can be used effectively to bound errors in matrix computations. In the present paper a method proposed by Hansen and R. R. Smith is compared with straightforward use of I.A. in determinant evaluation. Computational results show the accuracy and running times that can be expected when using I.A. for determinant evaluation. An application using I.A. determinants in a program to test a set of functions to see if they form a Chebyshev system is then presented.
Research and Advances

A comparison of batch processing and instant turnaround

A study of the programming efforts of students in an introductory programming course is presented and the effects of having instant turnaround (a few minutes) as opposed to conventional batch processing with turnaround times of a few hours are examined. Among the items compared are the number of computer runs per trip to the computation center, program preparation time, keypunching time, debugging time, number of runs, and elapsed time from the first run to the last run on each problem. Even though the results are influenced by the fact that “bonus points” were given for completion of a programming problem in less than a specified number of runs, there is evidence to support “Instant” over “Batch”.

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