Nonlinear Optimization in Finite Dimensions - Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects (Nonconvex Optimization and its Applications Volume 47)

0 avg rating
( 0 ratings by Goodreads )
 
9780792365617: Nonlinear Optimization in Finite Dimensions - Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects (Nonconvex Optimization and its Applications Volume 47)

At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies. Roughly speaking, the topology of lower level sets only may change when passing a level which corresponds to a stationary point (or Karush-Kuhn­ Tucker point). We study elements of Morse Theory, both in the unconstrained and constrained case. Special attention is paid to the degree of differentiabil­ ity of the functions under consideration. The reader will become motivated to discuss the possible shapes and forms of functions that may possibly arise within a given problem framework. In a separate chapter we show how certain ideas may be carried over to nonsmooth items, such as problems of Chebyshev approximation type. We made this choice in order to show that a good under­ standing of regular smooth problems may lead to a straightforward treatment of "just" continuous problems by means of suitable perturbation techniques, taking a priori nonsmoothness into account. Moreover, we make a focal point analysis in order to emphasize the difference between inner product norms and, for example, the maximum norm. Then, specific tools from algebraic topol­ ogy, in particular homology theory, are treated in some detail. However, this development is carried out only as far as it is needed to understand the relation between critical points of a function on a manifold with structured boundary. Then, we pay attention to three important subjects in nonlinear optimization.

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

Top Search Results from the AbeBooks Marketplace

1.

Hubertus Th. Jongen; P. Jonker; F. Twilt
Published by Springer (2000)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Hardcover Quantity Available: 1
Seller:
East West Academic Books LLC
(Burlington, NC, U.S.A.)
Rating
[?]

Book Description Springer, 2000. Hardcover. Book Condition: New. Bookseller Inventory # ABE-1509950811108

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 185.26
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

2.

Hubertus Th. Jongen; P. Jonker; F. Twilt
Published by Springer (2000)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Hardcover Quantity Available: 1
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2000. Hardcover. Book Condition: New. Bookseller Inventory # SONG0792365615

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 278.38
Convert Currency

Add to Basket

Shipping: US$ 4.99
Within U.S.A.
Destination, Rates & Speeds

3.

Jongen, Hubertus Th.
Published by Springer (2016)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780792365617_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 293.60
Convert Currency

Add to Basket

Shipping: US$ 5.18
From United Kingdom to U.S.A.
Destination, Rates & Speeds

4.

Hubertus Th. Jongen
Published by Kluwer Academic Publishers (2000)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Quantity Available: > 20
Print on Demand
Seller:
Books2Anywhere
(Fairford, GLOS, United Kingdom)
Rating
[?]

Book Description Kluwer Academic Publishers, 2000. HRD. Book Condition: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Bookseller Inventory # IP-9780792365617

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 305.69
Convert Currency

Add to Basket

Shipping: US$ 12.05
From United Kingdom to U.S.A.
Destination, Rates & Speeds

5.

HUBERTUS TH. JONGEN
Published by Springer (2000)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Hardcover Quantity Available: 1
Seller:
Herb Tandree Philosophy Books
(Stroud, GLOS, United Kingdom)
Rating
[?]

Book Description Springer, 2000. Hardback. Book Condition: NEW. 9780792365617 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Bookseller Inventory # HTANDREE0282513

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 313.28
Convert Currency

Add to Basket

Shipping: US$ 10.71
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Hubertus Th. Jongen
Published by Kluwer Academic Publishers (2000)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Kluwer Academic Publishers, 2000. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IP-9780792365617

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 333.98
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

7.

Hubertus Th. Jongen, Peter Jonker, Frank Twilt
Published by Springer, Netherlands (2000)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Hardcover Quantity Available: 10
Print on Demand
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Springer, Netherlands, 2000. Hardback. Book Condition: New. 2000 ed.. Language: English . Brand New Book ***** Print on Demand *****. At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies. Roughly speaking, the topology of lower level sets only may change when passing a level which corresponds to a stationary point (or Karush-Kuhn- Tucker point). We study elements of Morse Theory, both in the unconstrained and constrained case. Special attention is paid to the degree of differentiabil- ity of the functions under consideration. The reader will become motivated to discuss the possible shapes and forms of functions that may possibly arise within a given problem framework. In a separate chapter we show how certain ideas may be carried over to nonsmooth items, such as problems of Chebyshev approximation type. We made this choice in order to show that a good under- standing of regular smooth problems may lead to a straightforward treatment of just continuous problems by means of suitable perturbation techniques, taking a priori nonsmoothness into account. Moreover, we make a focal point analysis in order to emphasize the difference between inner product norms and, for example, the maximum norm. Then, specific tools from algebraic topol- ogy, in particular homology theory, are treated in some detail. However, this development is carried out only as far as it is needed to understand the relation between critical points of a function on a manifold with structured boundary. Then, we pay attention to three important subjects in nonlinear optimization. Bookseller Inventory # APC9780792365617

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 339.43
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

8.

Hubertus Th. Jongen, Peter Jonker, Frank Twilt
Published by Springer, Netherlands (2000)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Hardcover Quantity Available: 10
Print on Demand
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer, Netherlands, 2000. Hardback. Book Condition: New. 2000 ed.. Language: English . Brand New Book ***** Print on Demand *****.At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies. Roughly speaking, the topology of lower level sets only may change when passing a level which corresponds to a stationary point (or Karush-Kuhn- Tucker point). We study elements of Morse Theory, both in the unconstrained and constrained case. Special attention is paid to the degree of differentiabil- ity of the functions under consideration. The reader will become motivated to discuss the possible shapes and forms of functions that may possibly arise within a given problem framework. In a separate chapter we show how certain ideas may be carried over to nonsmooth items, such as problems of Chebyshev approximation type. We made this choice in order to show that a good under- standing of regular smooth problems may lead to a straightforward treatment of just continuous problems by means of suitable perturbation techniques, taking a priori nonsmoothness into account. Moreover, we make a focal point analysis in order to emphasize the difference between inner product norms and, for example, the maximum norm. Then, specific tools from algebraic topol- ogy, in particular homology theory, are treated in some detail. However, this development is carried out only as far as it is needed to understand the relation between critical points of a function on a manifold with structured boundary. Then, we pay attention to three important subjects in nonlinear optimization. Bookseller Inventory # APC9780792365617

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 349.61
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Jongen, Hubertus Th.
Published by Springer (2017)
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Hardcover Quantity Available: 20
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2017. Hardcover. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # 0792365615

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 348.76
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

10.

Jongen, Hubertus Th.; Jonker, P.; Twilt, F.
Published by Springer
ISBN 10: 0792365615 ISBN 13: 9780792365617
New Hardcover Quantity Available: > 20
Seller:
Russell Books
(Victoria, BC, Canada)
Rating
[?]

Book Description Springer. Hardcover. Book Condition: New. 0792365615 Special order direct from the distributor. Bookseller Inventory # ING9780792365617

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 417.15
Convert Currency

Add to Basket

Shipping: US$ 7.00
From Canada to U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book