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Analysis of third-order methods for secular equations
Author(s):
A.
Melman.
Journal:
Math. Comp.
67
(1998),
271-286.
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References |
Additional information
Abstract:
Third-order numerical methods are analyzed for secular equations. These equations arise in several matrix problems and numerical linear algebra applications. A closer look at an existing method shows that it can be considered as a classical method for an equivalent problem. This not only leads to other third-order methods, it also provides the means for a unifying convergence analysis of these methods and for their comparisons. Finally, we consider approximated versions of the aforementioned methods.
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Additional Information:
A.
Melman
Affiliation:
Department of Industrial Engineering, Ben-Gurion University, Beer-Sheva 84105, Israel
Email:
melman@bgumail.bgu.ac.il
DOI:
10.1090/S0025-5718-98-00884-9
PII:
S 0025-5718(98)00884-9
Keywords:
Secular equation,
nonlinear approximation,
third-order convergence
Received by editor(s):
May 15, 1996
Received by editor(s) in revised form:
September 16, 1996
Copyright of article:
Copyright
1998,
American Mathematical Society
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