Optimization theory : a concise introduction / Jiongmin Yong.

By:

Yong, Jiongmin [author]

Material type: Text

TextLanguage: English Publication details: Singapore ; New Jersey : World Scientific, c2018Description: x, 223 pages : illustrations ; 24 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

9789813237643 (hardcover : alk. paper)

Subject(s):

LOC classification:

QA402.5 Y8 2018

Online resources:

Contents:

Mathematical preparations -- Optimization problems and existence of optimal solutions -- Necessary and sufficient conditions of optimal solutions -- Problems with convexity and quasi-convexity conditions -- Linear programming.

Summary: "Mathematically, most of the interesting optimization problems can be formulated to optimize some objective function, subject to some equality and/or inequality constraints. This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush-Kuhn-Tucker method, Fritz John's method, problems with convex or quasi-convex constraints, and linear programming with geometric method and simplex method. A slim book such as this which touches on major aspects of optimization theory will be very much needed for most readers. We present nonlinear programming, convex programming, and linear programming in a self-contained manner. This book is for a one-semester course for upper level undergraduate students or first/second year graduate students. It should also be useful for researchers working on many interdisciplinary areas other than optimization"-- Provided by publisher.

List(s) this item appears in: Print Books 2022

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Holdings ( 1 )
Title notes ( 4 )

Holdings
Item type	Current library	Collection	Call number	Materials specified	Status	Notes	Date due	Barcode
Books	Ladislao N. Diwa Memorial Library Reserve Section	Non-fiction	RUS QA402.5 Y8 2018 (Browse shelf(Opens below))		Room use only	78246		00079192

Includes bibliographical references (page 217) and index.

"Mathematically, most of the interesting optimization problems can be formulated to optimize some objective function, subject to some equality and/or inequality constraints. This book introduces some classical and basic results of optimization theory, including nonlinear programming with Lagrange multiplier method, the Karush-Kuhn-Tucker method, Fritz John's method, problems with convex or quasi-convex constraints, and linear programming with geometric method and simplex method. A slim book such as this which touches on major aspects of optimization theory will be very much needed for most readers. We present nonlinear programming, convex programming, and linear programming in a self-contained manner. This book is for a one-semester course for upper level undergraduate students or first/second year graduate students. It should also be useful for researchers working on many interdisciplinary areas other than optimization"-- Provided by publisher.

Fund 164 CD Books International, Inc. Purchased 11/18/2020 78246 pnr PHP 5,428.80 2020-10-371A 2020-1-0324