Newton’s Method – There and Back Again

Michael Luttenberger; Maximilian Schlund

doi:10.1007/978-3-031-56222-8_11

Newton’s Method – There and Back Again

Michael Luttenberger, Maximilian Schlund

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Technical University of Munich

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

We give an overview on the development of Newton’s method for systems of polynomial fixed-point equations on semirings, retracing the work which eventually led to [EKL10b], and further present some extensions for noncommutative semirings.

Original language	English
Title of host publication	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	181-205
Number of pages	25
DOIs	https://doi.org/10.1007/978-3-031-56222-8_11
State	Published - 2024

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	LNCS 14660
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

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10.1007/978-3-031-56222-8_11

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Luttenberger, M., & Schlund, M. (2024). Newton’s Method – There and Back Again. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 181-205). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. LNCS 14660). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-56222-8_11

Luttenberger, Michael ; Schlund, Maximilian. / Newton’s Method – There and Back Again. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Science and Business Media Deutschland GmbH, 2024. pp. 181-205 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "We give an overview on the development of Newton{\textquoteright}s method for systems of polynomial fixed-point equations on semirings, retracing the work which eventually led to [EKL10b], and further present some extensions for noncommutative semirings.",

author = "Michael Luttenberger and Maximilian Schlund",

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doi = "10.1007/978-3-031-56222-8_11",

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Luttenberger, M & Schlund, M 2024, Newton’s Method – There and Back Again. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. LNCS 14660, Springer Science and Business Media Deutschland GmbH, pp. 181-205. https://doi.org/10.1007/978-3-031-56222-8_11

Newton’s Method – There and Back Again. / Luttenberger, Michael; Schlund, Maximilian.
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Science and Business Media Deutschland GmbH, 2024. p. 181-205 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. LNCS 14660).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

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AU - Luttenberger, Michael

AU - Schlund, Maximilian

PY - 2024

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AB - We give an overview on the development of Newton’s method for systems of polynomial fixed-point equations on semirings, retracing the work which eventually led to [EKL10b], and further present some extensions for noncommutative semirings.

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DO - 10.1007/978-3-031-56222-8_11

M3 - Chapter

AN - SCOPUS:85201192141

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 181

EP - 205

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

PB - Springer Science and Business Media Deutschland GmbH

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Luttenberger M, Schlund M. Newton’s Method – There and Back Again. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Springer Science and Business Media Deutschland GmbH. 2024. p. 181-205. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-031-56222-8_11

Newton’s Method – There and Back Again

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