國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Attraction in numerical minimization...

Levy, Adam B.

Attraction in numerical minimizationiteration mappings, attractors, and basins of attraction /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Attraction in numerical minimizationby Adam B. Levy.
其他題名:	iteration mappings, attractors, and basins of attraction /
作者:	Levy, Adam B.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xii, 78 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematical statisticsData processing.
電子資源:	https://doi.org/10.1007/978-3-030-04049-9
ISBN:	9783030040499$q(electronic bk.)

Attraction in numerical minimizationiteration mappings, attractors, and basins of attraction /
Levy, Adam B.

Attraction in numerical minimizationiteration mappings, attractors, and basins of attraction /[electronic resource] :by Adam B. Levy. - Cham :Springer International Publishing :2018. - xii, 78 p. :ill., digital ;24 cm. - SpringerBriefs in optimization,2190-8354. - SpringerBriefs in optimization..

1. Multisets and Multiset Mappings -- 2. Iteration Mappings -- 3. Equilibria in Dynamical Systems -- 4. Attractors -- 5. Basin Analysis Via Simulation.

Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and prove a fixed-point theorem for iteration mappings. Concepts from dynamical systems are utilized to develop notions of basin size and basin entropy. Simulations to estimate basins of attraction, to measure and classify basin size, and to compute basin are included to shed new light on convergence behavior in numerical minimization. Graduate students, researchers, and practitioners in optimization and mathematics who work theoretically to develop solution algorithms will find this book a useful resource.

ISBN: 9783030040499$q(electronic bk.)

Standard No.: 10.1007/978-3-030-04049-9doiSubjects--Topical Terms:

183916
Mathematical statistics
--Data processing.

LC Class. No.: QA276.4 / .L489 2018

Dewey Class. No.: 519.5

Attraction in numerical minimizationiteration mappings, attractors, and basins of attraction /
LDR:02128nmm a2200337 a 4500 001 546875
003 DE-He213
005 20190513133309.0
006 m d
007 cr nn 008maaau
008 190627s2018 gw s 0 eng d
020 $a 9783030040499$q(electronic bk.)
020 $a 9783030040482$q(paper)
024 7 $a 10.1007/978-3-030-04049-9 $2 doi
035 $a 978-3-030-04049-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA276.4 $b .L489 2018
072 7 $a PBU $2 bicssc
072 7 $a MAT003000 $2 bisacsh
072 7 $a PBU $2 thema
082 0 4 $a 519.5 $2 23
090 $a QA276.4 $b .L668 2018
100 1 $a Levy, Adam B. $3 573135
245 1 0 $a Attraction in numerical minimization $h [electronic resource] : $b iteration mappings, attractors, and basins of attraction / $c by Adam B. Levy.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xii, 78 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in optimization, $x 2190-8354
505 0 $a 1. Multisets and Multiset Mappings -- 2. Iteration Mappings -- 3. Equilibria in Dynamical Systems -- 4. Attractors -- 5. Basin Analysis Via Simulation.
520 $a Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and prove a fixed-point theorem for iteration mappings. Concepts from dynamical systems are utilized to develop notions of basin size and basin entropy. Simulations to estimate basins of attraction, to measure and classify basin size, and to compute basin are included to shed new light on convergence behavior in numerical minimization. Graduate students, researchers, and practitioners in optimization and mathematics who work theoretically to develop solution algorithms will find this book a useful resource.
650 0 $a Mathematical statistics $x Data processing. $3 183916
650 0 $a Numerical analysis. $3 182073
650 1 4 $a Optimization. $3 274084
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 273794
650 2 4 $a Functional Analysis. $3 274845
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in optimization. $3 558249
856 4 0 $u https://doi.org/10.1007/978-3-030-04049-9
950 $a Mathematics and Statistics (Springer-11649)