Nonlinear Optimization with Financial Applications

Michael Bartholomew-Biggs

ISBN 10: 1402081103 / ISBN 13: 9781402081101

Editore: Springer Us Jan 2005, 2005

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Neuware - The book introduces the key ideas behind practical nonlinear optimization. Computational finance - an increasingly popular area of mathematics degree programs - is combined here with the study of an important class of numerical techniques. The financial content of the book is designed to be relevant and interesting to specialists. However, this material - which occupies about one-third of the text - is also sufficiently accessible to allow the book to be used on optimization courses of a more general nature. The essentials of most currently popular algorithms are described, and their performance is demonstrated on a range of optimization problems arising in financial mathematics. Theoretical convergence properties of methods are stated, and formal proofs are provided in enough cases to be instructive rather than overwhelming. Practical behavior of methods is illustrated by computational examples and discussions of efficiency, accuracy and computational costs. Supporting software for the examples and exercises is available (but the text does not require the reader to use or understand these particular codes). The author has been active in optimization for over thirty years in algorithm development and application and in teaching and research supervision. Codice articolo 9781402081101

Dati bibliografici

Titolo: Nonlinear Optimization with Financial ...

Casa editrice: Springer Us Jan 2005

Data di pubblicazione: 2005

Legatura: Buch

Condizione: Neu

Descrizione articolo

Riassunto:

This instructive book introduces the key ideas behind practical nonlinear optimization, accompanied by computational examples and supporting software. It combines computational finance with an important class of numerical techniques.

Dalla quarta di copertina:

   The book introduces the key ideas behind practical nonlinear optimization.

   Computational finance an increasingly popular area of mathematics degree programmes is combined here with the study of an important class of numerical techniques.

  The financial content of the book is designed to be relevant and interesting to specialists. However, this material which occupies about one-third of the text is also sufficiently accessible to allow the book to be used on optimization courses of a more general nature.

  The essentials of most currently popular algorithms are described and their performance is demonstrated on a range of optimization problems arising in financial mathematics.

  Theoretical convergence properties of methods are stated and formal proofs are provided in enough cases to be instructive rather than overwhelming.

  Practical behaviour of methods is illustrated by computational examples and discussions of efficiency, accuracy and computational costs.

  Supporting software for the examples and exercises is available (but the text does not require the reader to use or understand these particular codes).

  The author has been active in optimization for over thirty years in algorithm development and application and in teaching and research supervision.

Audience

The book is aimed at lecturers and students (undergraduate and postgraduate) in mathematics, computational finance and related subjects. It is also useful for researchers and practitioners who need a good introduction to nonlinear optimization.