INTERVAL ARITHMETIC DETERMINANT EVALUATION AND ITS USE IN TESTING FOR A CHEBYSHEV SYSTEM.
STANFORD UNIV CALIF DEPT OF COMPUTER SCIENCE
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Two recent papers by Hansen and by Hansen and R. R. Smith have shown how interval arithmetic I.A. can be used effectively to bound errors in matrix computations. This paper compares a method proposed by Hansen and R. R. Smith to straightforward use of I.A. in determinant evaluation. Computational results show what accuracy and running times 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. Author
- Theoretical Mathematics