Nonlinear Multiobjective Optimization

A Generalized Homotopy Approach

  • Claus Hillermeier

Part of the International Series of Numerical Mathematics book series (ISNM, volume 135)

Table of contents

  1. Front Matter
    Pages I-2
  2. Claus Hillermeier
    Pages 3-8
  3. Claus Hillermeier
    Pages 9-14
  4. Claus Hillermeier
    Pages 15-43
  5. Claus Hillermeier
    Pages 45-63
  6. Claus Hillermeier
    Pages 65-86
  7. Claus Hillermeier
    Pages 87-107
  8. Claus Hillermeier
    Pages 109-128
  9. Back Matter
    Pages 129-135

About this book


Arguably, many industrial optimization problems are of the multiobjective type. The present work, after providing a survey of the state of the art in multiobjective optimization, gives new insight into this important mathematical field by consequently taking up the viewpoint of differential geometry. This approach, unprecedented in the literature, very naturally results in a generalized homotopy method for multiobjective optimization which is theoretically well-founded and numerically efficient. The power of the new method is demonstrated by solving two real-life problems of industrial optimization.
The book presents recent results obtained by the author and is aimed at mathematicians, scientists, students and practitioners interested in optimization and numerical homotopy methods.


Vector optimization geometry homotopy theory multi-objective optimization numerical analysis optimization

Authors and affiliations

  • Claus Hillermeier
    • 1
  1. 1.Siemens AGMünchen (Perlach)Germany

Bibliographic information