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Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: booksXpress, Bayonne, NJ, U.S.A.
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Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: GF Books, Inc., Hawthorne, CA, U.S.A.
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Condition: New. Book is in NEW condition.
Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
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Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Book Deals, Tucson, AZ, U.S.A.
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Condition: Fair. Acceptable/Fair condition. Book is worn, but the pages are complete, and the text is legible. Has wear to binding and pages, may be ex-library.
Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Books Unplugged, Amherst, NY, U.S.A.
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Condition: Fair. Buy with confidence! Book is in acceptable condition with wear to the pages, binding, and some marks within.
Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Books Unplugged, Amherst, NY, U.S.A.
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Condition: Good. Buy with confidence! Book is in good condition with minor wear to the pages, binding, and minor marks within.
Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: GF Books, Inc., Hawthorne, CA, U.S.A.
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Condition: Very Good. Book is in Used-VeryGood condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain very limited notes and highlighting.
Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: GF Books, Inc., Hawthorne, CA, U.S.A.
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Condition: Fine. Book is in Used-LikeNew condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear.
Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Book Deals, Tucson, AZ, U.S.A.
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Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Ria Christie Collections, Uxbridge, United Kingdom
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Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book.
Published by Springer 2011-12, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Chiron Media, Wallingford, United Kingdom
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PF. Condition: New.
Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. K 1984-12-01, 1984
ISBN 10: 3540127631ISBN 13: 9783540127635
Seller: Hay-on-Wye Booksellers, Hay-on-Wye, HEREF, United Kingdom
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Hardcover. Condition: Very Good. Inscriptions to the front of the book. Content is clean and readable, a decent hardback.
Published by Springer, 1985
ISBN 10: 3540127631ISBN 13: 9783540127635
Seller: Hay-on-Wye Booksellers, Hay-on-Wye, HEREF, United Kingdom
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Hardcover. Condition: Good. Shelfwear; cover is alittle worn in places. Content has inscription. Readable throughout.
Published by Springer Berlin Heidelberg, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: Revaluation Books, Exeter, United Kingdom
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Paperback. Condition: Brand New. reprint edition. 172 pages. 9.25x6.10x0.39 inches. In Stock.
Published by Springer Berlin Heidelberg, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: moluna, Greven, Germany
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Published by Springer Berlin Heidelberg, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: AHA-BUCH GmbH, Einbeck, Germany
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - In recent years much attention has been given to the development of auto matic systems of planning, design and control in various branches of the national economy. Quality of decisions is an issue which has come to the forefront, increasing the significance of optimization algorithms in math ematical software packages for al,ltomatic systems of various levels and pur poses. Methods for minimizing functions with discontinuous gradients are gaining in importance and the ~xperts in the computational methods of mathematical programming tend to agree that progress in the development of algorithms for minimizing nonsmooth functions is the key to the con struction of efficient techniques for solving large scale problems. This monograph summarizes to a certain extent fifteen years of the author's work on developing generalized gradient methods for nonsmooth minimization. This work started in the department of economic cybernetics of the Institute of Cybernetics of the Ukrainian Academy of Sciences under the supervision of V.S. Mikhalevich, a member of the Ukrainian Academy of Sciences, in connection with the need for solutions to important, practical problems of optimal planning and design. In Chap. I we describe basic classes of nonsmooth functions that are dif ferentiable almost everywhere, and analyze various ways of defining generalized gradient sets. In Chap. 2 we study in detail various versions of the su bgradient method, show their relation to the methods of Fejer-type approximations and briefly present the fundamentals of e-subgradient methods.
Published by Springer Berlin Heidelberg Dez 2011, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Book Print on Demand
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In recent years much attention has been given to the development of auto matic systems of planning, design and control in various branches of the national economy. Quality of decisions is an issue which has come to the forefront, increasing the significance of optimization algorithms in math ematical software packages for al,ltomatic systems of various levels and pur poses. Methods for minimizing functions with discontinuous gradients are gaining in importance and the ~xperts in the computational methods of mathematical programming tend to agree that progress in the development of algorithms for minimizing nonsmooth functions is the key to the con struction of efficient techniques for solving large scale problems. This monograph summarizes to a certain extent fifteen years of the author's work on developing generalized gradient methods for nonsmooth minimization. This work started in the department of economic cybernetics of the Institute of Cybernetics of the Ukrainian Academy of Sciences under the supervision of V.S. Mikhalevich, a member of the Ukrainian Academy of Sciences, in connection with the need for solutions to important, practical problems of optimal planning and design. In Chap. I we describe basic classes of nonsmooth functions that are dif ferentiable almost everywhere, and analyze various ways of defining generalized gradient sets. In Chap. 2 we study in detail various versions of the su bgradient method, show their relation to the methods of Fejer-type approximations and briefly present the fundamentals of e-subgradient methods. 176 pp. Englisch.
Published by Springer, 2011
ISBN 10: 1441947922ISBN 13: 9781441947925
Seller: booksXpress, Bayonne, NJ, U.S.A.
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Soft Cover. Condition: new. This item is printed on demand.
Published by Springer, 1998
ISBN 10: 0792349970ISBN 13: 9780792349976
Seller: booksXpress, Bayonne, NJ, U.S.A.
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Hardcover. Condition: new.
Published by Springer, 2011
ISBN 10: 3642821200ISBN 13: 9783642821202
Seller: dsmbooks, Liverpool, United Kingdom
Book
Paperback. Condition: Like New. Like New. book.
Published by Springer, 2011
ISBN 10: 1441947922ISBN 13: 9781441947925
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Book
Condition: New.
Published by Springer, 1998
ISBN 10: 0792349970ISBN 13: 9780792349976
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Book
Condition: New.
Published by SPRINGER NATURE, 1998
ISBN 10: 0792349970ISBN 13: 9780792349976
Seller: Buchpark, Trebbin, Germany
Book
Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. Aus der Auflösung einer renommierten Bibliothek. Kann Stempel beinhalten. | Seiten: 396 | Sprache: Englisch.
Published by Springer, 1998
ISBN 10: 0792349970ISBN 13: 9780792349976
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Book Print on Demand
Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book.
Published by Springer, 2011
ISBN 10: 1441947922ISBN 13: 9781441947925
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Book Print on Demand
Condition: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book.
Published by Springer US Okt 2011, 2011
ISBN 10: 1441947922ISBN 13: 9781441947925
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Book Print on Demand
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Polynomial extremal problems (PEP) constitute one of the most important subclasses of nonlinear programming models. Their distinctive feature is that an objective function and constraints can be expressed by polynomial functions in one or several variables. Let :e = {:e 1, . , :en} be the vector in n-dimensional real linear space Rn; n PO(:e), PI (:e), . , Pm (:e) are polynomial functions in R with real coefficients. In general, a PEP can be formulated in the following form: (0.1) find r = inf Po(:e) subject to constraints (0.2) Pi (:e) =0, i=l, . ,m (a constraint in the form of inequality can be written in the form of equality by introducing a new variable: for example, P( x) ~ 0 is equivalent to P(:e) + y2 = 0). Boolean and mixed polynomial problems can be written in usual form by adding for each boolean variable z the equality: Z2 - Z = O. Let a = {al, . ,a } be integer vector with nonnegative entries {a;}f=l. n Denote by R[a](:e) monomial in n variables of the form: n R[a](:e) = IT :ef'; ;=1 d(a) = 2:7=1 ai is the total degree of monomial R[a]. Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR[a](:e), aEA{P) IX x Nondifferentiable optimization and polynomial problems where A(P) is the set of monomials contained in polynomial P. 416 pp. Englisch.
Published by Springer US, 2011
ISBN 10: 1441947922ISBN 13: 9781441947925
Seller: moluna, Greven, Germany
Book Print on Demand
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Polynomial extremal problems (PEP) constitute one of the most important subclasses of nonlinear programming models. Their distinctive feature is that an objective function and constraints can be expressed by polynomial functions in one or several variables.
Published by Springer US, 2011
ISBN 10: 1441947922ISBN 13: 9781441947925
Seller: AHA-BUCH GmbH, Einbeck, Germany
Book
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Polynomial extremal problems (PEP) constitute one of the most important subclasses of nonlinear programming models. Their distinctive feature is that an objective function and constraints can be expressed by polynomial functions in one or several variables. Let :e = {:e 1, . , :en} be the vector in n-dimensional real linear space Rn; n PO(:e), PI (:e), . , Pm (:e) are polynomial functions in R with real coefficients. In general, a PEP can be formulated in the following form: (0.1) find r = inf Po(:e) subject to constraints (0.2) Pi (:e) =0, i=l, . ,m (a constraint in the form of inequality can be written in the form of equality by introducing a new variable: for example, P( x) ~ 0 is equivalent to P(:e) + y2 = 0). Boolean and mixed polynomial problems can be written in usual form by adding for each boolean variable z the equality: Z2 - Z = O. Let a = {al, . ,a } be integer vector with nonnegative entries {a;}f=l. n Denote by R[a](:e) monomial in n variables of the form: n R[a](:e) = IT :ef'; ;=1 d(a) = 2:7=1 ai is the total degree of monomial R[a]. Each polynomial in n variables can be written as sum of monomials with nonzero coefficients: P(:e) = L caR[a](:e), aEA{P) IX x Nondifferentiable optimization and polynomial problems where A(P) is the set of monomials contained in polynomial P.
Published by Springer US, 1998
ISBN 10: 1441947922ISBN 13: 9781441947925
Seller: Revaluation Books, Exeter, United Kingdom
Book
Paperback. Condition: Brand New. 412 pages. 9.45x6.30x0.94 inches. In Stock.
Published by Springer US, 1998
ISBN 10: 0792349970ISBN 13: 9780792349976
Seller: moluna, Greven, Germany
Book
Gebunden. Condition: New. Polynomial extremal problems (PEP) constitute one of the most important subclasses of nonlinear programming models. Their distinctive feature is that an objective function and constraints can be expressed by polynomial functions in one or several variables.