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Optimization : (Record no. 67748)

MARC details
000 -LEADER
fixed length control field 05413cam a2200577 i 4500
001 - CONTROL NUMBER
control field 9781003398585
003 - CONTROL NUMBER IDENTIFIER
control field FlBoTFG
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251030122243.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu---unuuu
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240605s2024 flu ob 001 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency OCoLC-P
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency OCoLC-P
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781003398585
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1003398588
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781040089187
Qualifying information (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1040089186
Qualifying information (electronic bk. : PDF)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781040089217
Qualifying information (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 1040089216
Qualifying information (electronic bk. : EPUB)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 1032500077
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781032500072
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1201/9781003398585
Source of number or code doi
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)1437745469
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC-P)1437745469
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA402.5
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 042000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT
Subject category code subdivision 003000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBU
Source bicssc
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Serovajsky, Simon,
Relator term author.
9 (RLIN) 94252
245 10 - TITLE STATEMENT
Title Optimization :
Remainder of title 100 examples /
Statement of responsibility, etc. Simon Serovajsky.
250 ## - EDITION STATEMENT
Edition statement First edition.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Boca Raton :
Name of producer, publisher, distributor, manufacturer C&H/CRC Press,
Date of production, publication, distribution, manufacture, or copyright notice 2024.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents -- Preface -- PART I: MINIMIZATION OF FUNCTIONS OF ONE VARIABLE -- CHAPTER 1: Fermat theorem -- 1.1. LECTURE -- 1.1.1. Fermat theorem -- 1.1.2. Non-uniqueness of the solution of the stationary condition -- 1.1.3. Absence of function minimum points -- 1.1.4. Inapplicability of Fermat theorem -- 1.2. APPENDIX -- 1.2.1. Existence of function minimum -- 1.2.2. Uniqueness of function minimum -- 1.2.3. Tikhonov well-posedness of problems -- 1.2.4. Sufficient conditions of function minimum
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 1.2.5. Minimization of non-smooth functions -- 1.2.6. Minimization of functions of many variables -- CHAPTER 2: Additions -- 2.1. LECTURE -- 2.1.1. Variational inequality -- 2.1.2. Dependence of the solution on parameters -- 2.1.3. Approximate solving of the stationary condition -- 2.2. APPENDIX -- 2.2.1. Sufficiency of the minimum condition in the form of variational inequalities -- 2.2.2. Lagrange multiplier method -- 2.2.3. Penalty method -- 2.2.4. Gradient methods -- 2.2.5. Hadamard well-posedness of extremum problems -- 2.2.6. Approximate solutions to the function minimization problem
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 2.2.7. Minimization of functions of many variables -- PART II: OPTIMAL CONTROL PROBLEMS FOR SYSTEMS WITH A FREE FINITE STATE -- CHAPTER 3: Maximum principle -- 3.1. LECTURE -- 3.1.1. Statement of the optimal control problem -- 3.1.2. Maximum principle -- 3.1.3. Analytical solving of an optimal control problem -- 3.1.4. Approximate solving of an optimal control problem -- 3.2. APPENDIX -- 3.2.1. Existence of function minimum -- 3.2.2. Elimination method -- 3.2.3. Decoupling method -- 3.2.4. Algorithm Convergence for Example 3.3 -- 3.2.5. Vector optimal control problem
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note CHAPTER 4: Alternative methods -- 4.1. LECTURE -- 4.1.1. Iterative methods for solving an optimization problem -- 4.1.2. Variational inequality -- 4.1.3. Penalty method -- 4.1.4. Bellman equation -- 4.2. APPENDIX -- 4.2.1. Problem with a non-smooth functional -- 4.2.2. Non-equivalence of the variational inequality and maximum condition -- 4.2.3. Penalty method in the optimal control problem with constraints -- 4.2.4. Optimal control of a singular system -- 4.2.5. Optimal control of a singular system with constraints -- 4.2.6. Justification of the sufficient optimality condition
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note 4.2.7. Relationship between dynamic programming and the maximum principle -- 4.2.8. Applicability of Bellman optimality principle -- CHAPTER 5: Uniqueness and sufficiency -- 5.1. LECTURE -- 5.1.1. Problem statement -- 5.1.2. Maximum principle -- 5.1.3. Analysis of optimality conditions -- 5.1.4. Uniqueness of the optimal control -- 5.1.5. Completion of the analysis of optimality conditions -- 5.2. APPENDIX -- 5.2.1. Invariance of the solution under sign change -- 5.2.2. Sufficiency of the maximum principle -- 5.2.3. Properties of non-optimal solutions of the maximum principle
520 ## - SUMMARY, ETC.
Summary, etc. "This book is devoted to the analysis of scenarios for which the use of well-known optimization methods encounter certain difficulties. Analysing such examples allows a deeper understanding of the features of these optimization methods, including the limits of their applicability. In this way, the book seeks to stimulate further development and understanding of the theory of optimal control. The study of the presented examples makes it possible to more effectively diagnose problems that arise in the practical solution of optimal control problems, and to find ways to overcome the difficulties that have arisen"--
Assigning source Provided by publisher.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note OCLC-licensed vendor bibliographic record.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
9 (RLIN) 65522
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
9 (RLIN) 68675
650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element
Source of heading or term bisacsh
9 (RLIN) 63964
856 40 - ELECTRONIC LOCATION AND ACCESS
Materials specified Taylor & Francis
Uniform Resource Identifier <a href="https://www.taylorfrancis.com/books/9781003398585">https://www.taylorfrancis.com/books/9781003398585</a>
856 42 - ELECTRONIC LOCATION AND ACCESS
Materials specified OCLC metadata license agreement
Uniform Resource Identifier <a href="http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf">http://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type

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