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On simple double zeros and badly conditioned zeros of analytic functions of  variables
Author(s):
Jean-Pierre
Dedieu;
Mike
Shub.
Journal:
Math. Comp.
70
(2001),
319-327.
MSC (2000):
Primary 65H10
Posted:
March 1, 2000
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Abstract:
We give a numerical criterion for a badly conditioned zero of a system of analytic equations to be part of a cluster of two zeros.
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Additional Information:
Jean-Pierre
Dedieu
Affiliation:
Laboratoire Approximation et Optimisation, Université Paul Sabatier, 31062 Toulouse Cedex 04, France
Email:
dedieu@cict.fr
Mike
Shub
Affiliation:
IBM T.J. Watson Research Center, Yorktowns Heights, New York 10598-0218
Email:
mshub@us.ibm.com
DOI:
10.1090/S0025-5718-00-01194-7
PII:
S 0025-5718(00)01194-7
Keywords:
Systems of equations,
multiple zeros,
condition numbers
Received by editor(s):
January 12, 1999
Posted:
March 1, 2000
Additional Notes:
This work was done while both authors were at MSRI, Berkeley, in fall 1998, for the Foundations of Computational Mathematics program.
Partially supported by the National Science Foundation
Copyright of article:
Copyright
2000,
American Mathematical Society
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