Items related to Optimization: Algorithms and Consistent Approximations:...

Optimization: Algorithms and Consistent Approximations: 124 (Applied Mathematical Sciences, 124) - Hardcover

 
9780387949710: Optimization: Algorithms and Consistent Approximations: 124 (Applied Mathematical Sciences, 124)

Synopsis

This book deals with optimality conditions, algorithms, and discretization tech­ niques for nonlinear programming, semi-infinite optimization, and optimal con­ trol problems. The unifying thread in the presentation consists of an abstract theory, within which optimality conditions are expressed in the form of zeros of optimality junctions, algorithms are characterized by point-to-set iteration maps, and all the numerical approximations required in the solution of semi-infinite optimization and optimal control problems are treated within the context of con­ sistent approximations and algorithm implementation techniques. Traditionally, necessary optimality conditions for optimization problems are presented in Lagrange, F. John, or Karush-Kuhn-Tucker multiplier forms, with gradients used for smooth problems and subgradients for nonsmooth prob­ lems. We present these classical optimality conditions and show that they are satisfied at a point if and only if this point is a zero of an upper semicontinuous optimality junction. The use of optimality functions has several advantages. First, optimality functions can be used in an abstract study of optimization algo­ rithms. Second, many optimization algorithms can be shown to use search directions that are obtained in evaluating optimality functions, thus establishing a clear relationship between optimality conditions and algorithms. Third, estab­ lishing optimality conditions for highly complex problems, such as optimal con­ trol problems with control and trajectory constraints, is much easier in terms of optimality functions than in the classical manner. In addition, the relationship between optimality conditions for finite-dimensional problems and semi-infinite optimization and optimal control problems becomes transparent.

"synopsis" may belong to another edition of this title.

Synopsis

This book covers algorithms and discretization procedures for the solution of nonlinear progamming, semi-infinite optimization and optimal control problems. Among the important features included are the theory of algorithms represented as point-to-set maps, the treatment of min-max problems with and without constraints, the theory of consistent approximation which provides a framework for the solution of semi-infinite optimization, optimal control, and shape optimization problems with very general constraints, using simple algorithms that call standard nonlinear programming algorithms as subroutines, the completeness with which algorithms are analysed, and chapter 5 containing mathematical results needed in optimization from a large assortment of sources. Readers will find of particular interest the exhaustive modern treatment of optimality conditions and algorithms for min-max problems, as well as the newly developed theory of consistent approximations and the treatment of semi-infinite optimization and optimal control problems in this framework.

This book presents the first treatment of optimization algorithms for optimal control problems with state-trajectory and control constraints, and fully accounts for all the approximations that one must make in their solution.It is also the first to make use of the concepts of epi-convergence and optimality functions in the construction of consistent approximations to infinite dimensional problems.

"About this title" may belong to another edition of this title.

  • PublisherSpringer
  • Publication date1997
  • ISBN 10 0387949712
  • ISBN 13 9780387949710
  • BindingHardcover
  • Number of pages802
  • EditorPolak Elijah

Buy Used

779 S. Ehem. Bibliotheksexemplar... Learn more about this copy

Shipping: £ 13.41
From Germany to U.S.A.

Destination, rates & speeds

Add to basket

Other Popular Editions of the Same Title

9781461268611: Optimization: Algorithms and Consistent Approximations: 124 (Applied Mathematical Sciences, 124)

Featured Edition

ISBN 10:  1461268613 ISBN 13:  9781461268611
Publisher: Springer, 2012
Softcover

Top Search Results from the AbeBooks Marketplace

Seller Image

Polak, Elijah:
Published by New York, Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
Used Hardcover

Seller: Antiquariat Bookfarm, Löbnitz, Germany

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Hardcover. 779 S. Ehem. Bibliotheksexemplar mit Bib.-Signatur und Stempel in GUTEM Zustand. Kaum Gebrauchsspuren. 9780387949710 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2140755

Contact seller

Buy Used

£ 30.91
Convert currency
Shipping: £ 13.41
From Germany to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Unbekannt
Published by Springer New York, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
Used Hardcover

Seller: Buchpark, Trebbin, Germany

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Innen: Seiten eingerissen. | Seiten: 808 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 647642/2

Contact seller

Buy Used

£ 26.38
Convert currency
Shipping: £ 37.71
From Germany to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Polak, Elijah
Published by New York: Springer-Verlag, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
Used Hardcover

Seller: Antiquariat Bernhardt, Kassel, Germany

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

gebundene Ausgabe. Applied Mathematical Sciences, Band 124. Zust: Gutes Exemplar. XX, 779 S., Englisch 1260g. Seller Inventory # 489931

Contact seller

Buy Used

£ 41.34
Convert currency
Shipping: £ 30.12
From Germany to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

0
Published by Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
New Hardcover

Seller: Basi6 International, Irving, TX, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. Seller Inventory # ABEJUNE24-89050

Contact seller

Buy New

£ 167.29
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Elijah Polak
Published by Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
New Hardcover

Seller: Romtrade Corp., STERLING HEIGHTS, MI, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Seller Inventory # ABTR-223755

Contact seller

Buy New

£ 167.29
Convert currency
Shipping: FREE
Within U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

E. Polak Elijah Polak
Published by Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
New Hardcover

Seller: Books Puddle, New York, NY, U.S.A.

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. pp. 808. Seller Inventory # 26315508

Contact seller

Buy New

£ 245.17
Convert currency
Shipping: £ 3.08
Within U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Polak E. Polak Elijah Polak Elijah
Published by Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
New Hardcover

Seller: Biblios, Frankfurt am main, HESSE, Germany

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. pp. 808. Seller Inventory # 18315518

Contact seller

Buy New

£ 251.96
Convert currency
Shipping: £ 8.34
From Germany to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Polak E. Polak Elijah
Published by Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
New Hardcover

Seller: Majestic Books, Hounslow, United Kingdom

Seller rating 5 out of 5 stars 5-star rating, Learn more about seller ratings

Condition: New. pp. 808 52:B&W 6.14 x 9.21in or 234 x 156mm (Royal 8vo) Case Laminate on White w/Gloss Lam. Seller Inventory # 7565227

Contact seller

Buy New

£ 260.03
Convert currency
Shipping: £ 6.50
From United Kingdom to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

Stock Image

Polak, Elijah,
Published by Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
New Hardcover

Seller: Xendurance Llc, Omaha, NE, U.S.A.

Seller rating 2 out of 5 stars 2-star rating, Learn more about seller ratings

Hardcover. Condition: Brand New. Brand New Fast shipping and delivery timing 5-10 days, ship within 24-48 hours. Deliver by FedEx and Dhl, & Aramex, UPS, & USPS and we do accept APO and PO BOX Addresses. Order can be delivered worldwide within 5-10 days. Seller Inventory # TechDELBOOSTO97894

Contact seller

Buy New

£ 274.21
Convert currency
Shipping: £ 5.39
Within U.S.A.
Destination, rates & speeds

Quantity: 5 available

Add to basket

Stock Image

Elijah Polak
Published by Springer, 1997
ISBN 10: 0387949712 ISBN 13: 9780387949710
Used Hardcover

Seller: Mispah books, Redhill, SURRE, United Kingdom

Seller rating 4 out of 5 stars 4-star rating, Learn more about seller ratings

Hardcover. Condition: Like New. Like New. book. Seller Inventory # ERICA77303879497126

Contact seller

Buy Used

£ 263
Convert currency
Shipping: £ 25
From United Kingdom to U.S.A.
Destination, rates & speeds

Quantity: 1 available

Add to basket

There are 8 more copies of this book

View all search results for this book