WorldCat Identities

Brinkhuis, Jan

Overview
Works: 43 works in 77 publications in 3 languages and 955 library holdings
Roles: Author, Correspondent
Classifications: HB141, 330.015195
Publication Timeline
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Most widely held works by Jan Brinkhuis
Optimization : insights and applications by Jan Brinkhuis( Book )

13 editions published between 2005 and 2008 in English and held by 237 WorldCat member libraries worldwide

This self-contained textbook is an informal introduction to optimization through the use of numerous illustrations and applications. The focus is on analytically solving optimization problems with a finite number of continuous variables. In addition, the authors provide introductions to classical and modern numerical methods of optimization and to dynamic optimization. The book's overarching point is that most problems may be solved by the direct application of the theorems of Fermat, Lagrange, and Weierstrass. The authors show how the intuition for each of the theoretical results can be supported by simple geometric figures. They include numerous applications through the use of varied classical and practical problems. Even experts may find some of these applications truly surprising. A basic mathematical knowledge is sufficient to understand the topics covered in this book. More advanced readers, even experts, will be surprised to see how all main results can be grounded on the Fermat-Lagrange theorem. The book can be used for courses on continuous optimization, from introductory to advanced, for any field for which optimization is relevant
Embedding problems and Galois modules by Jan Brinkhuis( Book )

8 editions published between 1981 and 1982 in English and Undetermined and held by 25 WorldCat member libraries worldwide

On the duality theory of convex objects by Jan Brinkhuis( Book )

5 editions published in 2001 in English and held by 7 WorldCat member libraries worldwide

We consider the classical duality operators for convex objects suchas the polar of a convex set containing the origin, the dual norm,the Fenchel-transform of a convex function and the conjugate of aconvex cone. We give a new, sharper, unified treatment of the theoryof these operators, deriving generalized theorems of Hahn-Banach,Fenchel-Moreau and Dubovitsky-Milyutin for the conjugate of convexcones in not necessarily finite dimensional vector spaces and hencefor all the other duality operators of convex objects
On the principle of Fermat-Lagrange for Mixed Smooth-Convex Extremal Problems by Jan Brinkhuis( Book )

4 editions published in 1998 in English and held by 7 WorldCat member libraries worldwide

A necessary condition - the Principle of Fermat-Lagrange - is offered for mixed smooth-convexoptimization problems. This generalizes and unifies most of the known necessary conditions forconcrete finite and infinite dimensional optimization problems of interest. The new idea in comparisonwith the unified version of Tikhomirov and others ([I-T], [A-T-F] and [T]) is that a geometricalconstruction of the principle is given. In the present set-up constraints are not mentioned explicitly, thefeasibility set is allowed to vary in a non-standard way and the objective function is also allowed tovary. An equivalent analytical formulation is given as well; we propose a new standard form foroptimization problems which allows greater flexibility
Optimization : insights and applications by Jan Brinkhuis( )

1 edition published in 2005 in English and held by 5 WorldCat member libraries worldwide

Plücker embedding of Grassmannian manifolds and the invariant theory of binary forms by Jan Brinkhuis( Book )

1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide

On shadowprices : linearization by minorization in the theory of extremal problems by Jan Brinkhuis( Book )

2 editions published in 1994 in Dutch and English and held by 3 WorldCat member libraries worldwide

Normal integral bases and complex conjugation by Jan Brinkhuis( Book )

1 edition published in 1986 in English and held by 3 WorldCat member libraries worldwide

Modules Galoisiens et sommes de Jacobi by Jan Brinkhuis( Book )

1 edition published in 1987 in French and held by 3 WorldCat member libraries worldwide

On a geometrical construction of the multiplier rule by Jan Brinkhuis( Book )

1 edition published in 1997 in English and held by 3 WorldCat member libraries worldwide

Vertical halfspaces as solutions of dual extremal problems by Jan Brinkhuis( Book )

1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide

An introduction to duality in optimization theory by Jan Brinkhuis( Book )

1 edition published in 1993 in English and held by 3 WorldCat member libraries worldwide

Galois modules and operations on the idelic character maps I by Jan Brinkhuis( Book )

1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide

Composition of symbolical products by Jan Brinkhuis( Book )

1 edition published in 1987 in English and held by 3 WorldCat member libraries worldwide

Extremal problems and inclusion of perturbations in halfspaces by Jan Brinkhuis( Book )

1 edition published in 1995 in English and held by 3 WorldCat member libraries worldwide

On the complexity of the primal self-concordant barrier method by Jan Brinkhuis( Book )

2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide

Relative Galois module structure for quartic fields by Jan Brinkhuis( Book )

1 edition published in 1988 in English and held by 2 WorldCat member libraries worldwide

Normal integral bases and embedding of fields by Jan Brinkhuis( Book )

2 editions published in 1985 in Dutch and English and held by 2 WorldCat member libraries worldwide

Testing concavity and quasi-concavity is easy by Jan Brinkhuis( Book )

3 editions published in 1985 in English and Dutch and held by 2 WorldCat member libraries worldwide

On a comparison of Gauss sums with products of Lagrange resolvents by Jan Brinkhuis( Book )

1 edition published in 1991 in English and held by 2 WorldCat member libraries worldwide

 
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Optimization : insights and applicationsOptimization : insights and applications
Alternative Names
Brinkhuis, Jan

Jan Brinkhuis Dutch mathematician

Languages
English (46)

Dutch (3)

French (1)

Covers
Optimization : insights and applications