Taylor models and floating-point arithmetic: proof that arithmetic operations are validated in COSY

Author:

Revol N.,Makino K.,Berz M.

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Logic,Theoretical Computer Science,Software

Reference21 articles.

1. American National Standards Institute and Institute of Electrical and Electronic Engineers, IEEE standard for binary floating-point arithmetic, ANSI/IEEE Standard, Std 754-1985, New York, 1985

2. American National Standards Institute and Institute of Electrical and Electronic Engineers, IEEE standard for radix independent floating-point arithmetic, ANSI/IEEE Standard, Std 854-1987, New York, 1987

3. M. Berz et al., The COSY INFINITY web page, Available from

4. M. Berz, Forward algorithms for high orders and many variables, Automatic Differentiation of Algorithms: Theory, Implementation and Application, SIAM, 1991

5. Modern Map Methods in Particle Beam Physics;Berz,1999

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