1931	 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 Hasen 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. interval arithmetic range arithmetic error bounds determinant evaluation Chebyshev system mathematical proof by computer
