On a class of omnibus algorithms for zero-finding

Andrzej Kozek; Anna Trzmielak-Staniseawska

doi:10.1016/0885-064X(89)90014-9

On a class of omnibus algorithms for zero-finding

Andrzej Kozek^*, Anna Trzmielak-Staniseawska

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

In this paper we consider a class of omnibus, stationary, adaptive iterative algorithms with finite memory (SAFM-algorithms) endowed with a partial order. We show that our modification MR of Bus and Dekker algorithm R is asymptotically better for this order than R- and M-algorithms and bisections.

Original language	English
Pages (from-to)	80-95
Number of pages	16
Journal	Journal of Complexity
Volume	5
Issue number	1
DOIs	https://doi.org/10.1016/0885-064X(89)90014-9
Publication status	Published - 1989
Externally published	Yes

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10.1016/0885-064X(89)90014-9

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title = "On a class of omnibus algorithms for zero-finding",

abstract = "In this paper we consider a class of omnibus, stationary, adaptive iterative algorithms with finite memory (SAFM-algorithms) endowed with a partial order. We show that our modification MR of Bus and Dekker algorithm R is asymptotically better for this order than R- and M-algorithms and bisections.",

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AB - In this paper we consider a class of omnibus, stationary, adaptive iterative algorithms with finite memory (SAFM-algorithms) endowed with a partial order. We show that our modification MR of Bus and Dekker algorithm R is asymptotically better for this order than R- and M-algorithms and bisections.

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DO - 10.1016/0885-064X(89)90014-9

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On a class of omnibus algorithms for zero-finding

Abstract

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