Abstract
Routines for solving common numerical problems have been developed in PASCAL-XSC. They are supplied by means of an additional module library. The methods used compute a highly accurate inclusion of the true solution of the problem and verify the existence and uniqueness of the solution in the given interval. The advantages of these new routines are:
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The solution is computed with high accuracy, even for many ill-conditioned cases.
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The accuracy of the computed solution is always controlled.
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The correctness of the result is automatically verified, i.e. an inclusion set is computed which guarantees the existence and uniqueness of the exact solution within the bounds computed.
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If no solution exists, or if the problem is extremely ill-conditioned, an error message is returned.
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© 1992 Springer-Verlag Berlin Heidelberg
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Kulisch, U., Klatte, R., Ratz, D., Neaga, M., Ullrich, C. (1992). Problem-Solving Routines. In: PASCAL-XSC. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77277-1_4
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DOI: https://doi.org/10.1007/978-3-642-77277-1_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55137-9
Online ISBN: 978-3-642-77277-1
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