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Nondifferentiable Optimization and Polynomial Problems: 24 (Nonconvex Optimization and Its Applications) - Tapa blanda
Reseña del editor
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.
Reseña del editor
The book is devoted to investigation of polynomial optimization problems, including Boolean problems which are the most important part of mathematical programming. It is shown that the methods of nondifferentiable optimization can be used for finding solutions of many classes of polynomial problems and for obtaining good dual estimates for optimal objective value in these problems.
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- EditorialSpringer
- Año de publicación2011
- ISBN 10 1441947922
- ISBN 13 9781441947925
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas416
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Nondifferentiable Optimization and Polynomial Problems (Nonconvex Optimization and Its Applications)
Librería: Lucky's Textbooks, Dallas, TX, Estados Unidos de America
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Nondifferentiable Optimization and Polynomial Problems
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Springer US Okt 2011, 2011
ISBN 10: 1441947922
ISBN 13: 9781441947925
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Taschenbuch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: 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. Nº de ref. del artículo: 9781441947925
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Nondifferentiable Optimization and Polynomial Problems (Nonconvex Optimization and Its Applications)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
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Condición: New. In English. Nº de ref. del artículo: ria9781441947925_new
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Nondifferentiable Optimization and Polynomial Problems
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Condición: 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. Nº de ref. del artículo: 4175120
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Nondifferentiable Optimization and Polynomial Problems
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: 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. Nº de ref. del artículo: 9781441947925
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Nondifferentiable Optimization and Polynomial Problems (Nonconvex Optimization and Its Applications)
Librería: Revaluation Books, Exeter, Reino Unido
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Paperback. Condición: Brand New. 412 pages. 9.45x6.30x0.94 inches. In Stock. Nº de ref. del artículo: x-1441947922
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Nondifferentiable Optimization and Polynomial Problems (Nonconvex Optimization and Its Applications, 24)
Librería: Mispah books, Redhill, SURRE, Reino Unido
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Paperback. Condición: Like New. Like New. book. Nº de ref. del artículo: ERICA80014419479226
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