ISSN:
1572-9974
Keywords:
Equation solution
;
first-order iterations
;
superlinear convergence theory
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
,
Economics
Notes:
Abstract The number of iterations of convergence of an iterative process possessing superlinear convergence rates depends on the user's arbitrary choice of starting values. That complicates comparisons of the computational burden implied by processes possessing superlinear convergence speeds. Indeed, different processes applied to a given equation system, convergence criterion and starting values, could produce any result depending on the choice of starting values. General comparisons between methods with superlinear convergence and those with linear convergence (whose iteration count is independent of the start values) are therefore not possible on the basis of iteration counts or operation counts.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00437069
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