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On theR-order of coupled sequences arising in single-step type methods (1988)

Burmeister, W. ; Schmidt, J. W.

Springer

Numerische Mathematik 53 (1988), S. 653-661

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ISSN: 0945-3245

Keywords: AMS(MOS): 65H10 ; 15A48 ; CR: G1.5

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary As shown in preceding papers of the authors, the verification of anR-convergence order τ for sequences coupled by a system (1.1) of basic inequalities can be reduced to the positive solvability of system (3.3) of linear inequalities. Further, the bestR-order $$\bar \tau$$ implied by (1.1) is equal to the minimal spectral radius of certain matrices composed from the exponents occuring in (1.1). Now, these results are proven in a unified and essentially simpler way. Moreover, they are somewhat extended in order to facilitate applications to concrete methods.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01397134

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