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2003 | OriginalPaper | Buchkapitel

Newtonian Methods

verfasst von : J. Frédéric Bonnans, J. Charles Gilbert, Claude Lemaréchal, Claudia A. Sagastizábal

Erschienen in: Numerical Optimization

Verlag: Springer Berlin Heidelberg

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The present chapter details the most important approach (by far) to compute a descent direction at each iteration of a minimization algorithm. This is the quasi-Newton method, defined in §4.4. To use another direction cannot be considered without a serious motivation; this has been true for decades and will probably remain so for several more years.

Metadaten
Titel
Newtonian Methods
verfasst von
J. Frédéric Bonnans
J. Charles Gilbert
Claude Lemaréchal
Claudia A. Sagastizábal
Copyright-Jahr
2003
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-662-05078-1_4

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