Convexity in Newton's Method
This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Together with the authors’ previous two volumes on the topic of the Newton method in Banach spaces, this third volume significantly extends Kantorovich's initial theory...
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| Κύριοι συγγραφείς: | , |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | Αγγλικά |
| Έκδοση: |
Cham :
Springer Nature Switzerland : Imprint: Birkhäuser,
2025.
|
| Έκδοση: | 1st ed. 2025. |
| Σειρά: | Frontiers in Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | https://doi.org/10.1007/978-3-031-85754-6 |
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| 100 | 1 | |a Ezquerro Fernández, José Antonio. |e author. |0 (orcid)0000-0001-8120-167X |1 https://orcid.org/0000-0001-8120-167X |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Convexity in Newton's Method |h [electronic resource] / |c by José Antonio Ezquerro Fernández, Miguel Ángel Hernández Verón. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Birkhäuser, |c 2025. | |
| 300 | |a 1 online resource (XII, 242 p. 48 illus.). |b 35 illus. in color. | ||
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| 490 | 1 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 505 | 0 | |a The degree of logarithmic convexity -- The Newton method and convexity -- Accelerations of the Newton method -- Newton-like methods with high order of convergence -- Optimization of the Chebyshev method. | |
| 520 | |a This monograph examines a variety of iterative methods in Banach spaces with a focus on those obtained from the Newton method. Together with the authors’ previous two volumes on the topic of the Newton method in Banach spaces, this third volume significantly extends Kantorovich's initial theory. It accomplishes this by emphasizing the influence of the convexity of the function involved, showing how improved iterative methods can be obtained that build upon those introduced in the previous two volumes. Each chapter presents theoretical results and illustrates them with applications to nonlinear equations, including scalar equations, integral equations, boundary value problems, and more. Convexity in Newton's Method will appeal to researchers interested in the theory of the Newton method as well as other iterative methods in Banach spaces. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Functional analysis. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 1 | 4 | |a Functional Analysis. |
| 650 | 2 | 4 | |a Operator Theory. |
| 700 | 1 | |a Hernández Verón, Miguel Ángel. |e author. |0 (orcid)0000-0001-5478-2958 |1 https://orcid.org/0000-0001-5478-2958 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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