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The moment-SOS hierarchy : = lecture...

Henrion, D.

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The moment-SOS hierarchy : = lectures in probability, statistics, computational geometry, control and nonlinear PDEs /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The moment-SOS hierarchy :/ Didier Henrion, Milan Korda, Jean B. Lasserre.
其他題名:	lectures in probability, statistics, computational geometry, control and nonlinear PDEs /
作者:	Henrion, D.
其他作者:	Korda, Milan,
出版者:	New Jersey :World Scientific, : c2021.,
面頁冊數:	xvii, 229 p. :ill. (some col.) ;24 cm.
內容註:	Notation, definitions and preliminaries -- Principle of the moment-SOS hierarchy -- Volume and Gaussian measure of semi-algebraic sets -- Lebesgue decomposition of a measure -- Super resolution on semi-algebraic domains --Space polynomial interpolation -- Representation of (probabilistic) chance-constraints -- Approximate optimal design -- Optimal control --Convex computation of region of attraction and reachable set -- Nonlinear partial differential equations -- Miscellaneous.
標題:	Mathematical optimization. -
ISBN:	9781786348531

The moment-SOS hierarchy : = lectures in probability, statistics, computational geometry, control and nonlinear PDEs /
Henrion, D.

The moment-SOS hierarchy :lectures in probability, statistics, computational geometry, control and nonlinear PDEs /Didier Henrion, Milan Korda, Jean B. Lasserre. - New Jersey :World Scientific,c2021. - xvii, 229 p. :ill. (some col.) ;24 cm. - Series on optimization and its applications,vol. 42399-1593 ;.

Includes bibliographical references and index.

Notation, definitions and preliminaries -- Principle of the moment-SOS hierarchy -- Volume and Gaussian measure of semi-algebraic sets -- Lebesgue decomposition of a measure -- Super resolution on semi-algebraic domains --Space polynomial interpolation -- Representation of (probabilistic) chance-constraints -- Approximate optimal design -- Optimal control --Convex computation of region of attraction and reachable set -- Nonlinear partial differential equations -- Miscellaneous.

"It covers applications of a very different nature in a unified mannerwith an appropriate level of details for a general audience. For all theseapplications (not covered in previous books of the third author), thismethodology is new and unconventional. All three authors are well-respected researchers in control and applied mathematics"--

ISBN: 9781786348531US88

LCCN: 2020030585Subjects--Topical Terms:

517763
Mathematical optimization.

LC Class. No.: QA402.5 / .H456 2021

Dewey Class. No.: 519.6

The moment-SOS hierarchy : = lectures in probability, statistics, computational geometry, control and nonlinear PDEs /
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