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Titlebook: Handbook of Test Problems in Local and Global Optimization; Christodoulos A. Floudas,Pãnos M. Pardalos,Carl A. Book 1999 Springer-Verlag U

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Christodoulos A. Floudas,Pãnos M. Pardalos,Claire S. Adjiman,William R. Esposito,Zeynep H. Gümüş,Steint operator of the form . with . being a densely defined, closed, linear operator from a Hilbert space .. into a possibly different Hilbert space ... It is straightforward to show that . is skew-selfadjoint in . := .. ⊕ .. (see Corollary .).
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Semidefinite Programming Problems,positive semidefinite. Several types of problems can be transformed to this form. This constraint is in general nonlinear and nonsmooth yet convex. Semidefinite programming can be viewed as an extension of linear programming and reduces to the linear programming case when the symmetric matrices are diagonal.
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Introduction, a variety of classes of nonlinear, discrete, and dynamic mathematical problems. These problems include (i) multi-quadratic programming, (ii) bilinear and biconvex, (iii) generalized geometric programming, (iv) general constrained nonlinear optimization, (v) bilevel optimization, (vi) complementarit
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Bilinear problems,sequencing, heat exchanger network design and multicommodity network flow problems. The general form of a bilinear problem is given by . where . and . are .- and .-dimensional vectors respectively, .., . = 1, . . . , ., are . matrices, .., . = 1, ... , ., are .-dimensional real vectors, . = 0, ... ,
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Bilevel Programming Problems,: . where .. × .. →; ., . = [..,.., ..] : .. × .. → .., . = [..,.., ..] : .. × .. → .., . = [..,..,..] : .. × .. → .., . = [..,.., ..] : .. × .. → ... ., . and . are the outer (planner’s or leader’s) problem objective function, inequality and equality constraints, and ., ., and . are the inner (beha
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