The Linearization Method for Constrained Optimization

The Linearization Method for Constrained Optimization

Boris N. Pshenichnyj / S.S. Wilson

66,89 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2012
ISBN:
9783642634017
66,89 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)

Techniques of optimization are applied in many problems in economics, automatic control, engineering, etc. and a wealth of literature is devoted to this subject. The first computer applications involved linear programming problems with simp- le structure and comparatively uncomplicated nonlinear pro- blems: These could be solved readily with the computational power of existing machines, more than 20 years ago. Problems of increasing size and nonlinear complexity made it necessa- ry to develop a complete new arsenal of methods for obtai- ning numerical results in a reasonable time. The lineariza- tion method is one of the fruits of this research of the last 20 years. It is closely related to Newton’s method for solving systems of linear equations, to penalty function me- thods and to methods of nondifferentiable optimization. It requires the efficient solution of quadratic programming problems and this leads to a connection with conjugate gra- dient methods and variable metrics. This book, written by one of the leading specialists of optimization theory, sets out to provide - for a wide readership including engineers, economists and optimization specialists, from graduate student level on - a brief yet quite complete exposition of this most effective method of solution of optimization problems.

Artículos relacionados

  • Final Exam Review
    A. A. Frempong / AAFrempong
    Final Exam Review: Calculus 1 & 2 covers the following topics: a note to the student in preparing for exams; differentiation and integration of functions using a guided and an analytical approach. All the normally difficult to understand topics have been made easy to understand, apply and remember. The topics include continuity, limits of functions; proofs; differentiation of f...
    Disponible

    56,42 €

  • The Calculus Gallery
    William Dunham
    More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the daw...
    Disponible

    26,61 €

  • Calculus Reordered
    David M. Bressoud
    A look at how calculus has evolved over hundreds of years and why calculus pedagogy needs to changeCalculus Reordered tells the remarkable story of how calculus grew over centuries into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, how it was shaped by Italian philosophers such as G...
    Disponible

    28,04 €

  • Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces
    David Preiss / Jaroslav Tišer / Joram Lindenstrauss
    This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector...
    Disponible

    136,24 €

  • Euclid in the Rainforest
    Joseph Mazur
    ...
    Disponible

    25,58 €

  • PRIMER ON SMOOTH MANIFOLDS, A
    LUCA VITAGLIANO / VITAGLIANO LUCA
    Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern Physics. The main characters in Differential Geometry are smooth manifolds: a class of geometric objects that locally behave like the standard Euclidean space.The book provides a first introduction to smooth manifolds, aimed at undergraduate students in Mathema...

Otros libros del autor

  • The Linearization Method for Constrained Optimization
    Boris N. Pshenichnyj / S.S. Wilson
    1. Convex and Quadratic Programming.- 1.1 Introduction.- 1.1.1 The Linearization Algorithm.- 1.1.2 Convergence of the Algorithm.- 1.1.3 General Remarks.- 1.1.4 Notation.- 1.2 Necessary Conditions for a Minimum and Duality.- 1.2.1 Convex Sets.- 1.2.2 Convex Functions.- 1.2.3 Foundations of Convex Programming.- 1.2.4 Duality in Convex Programming.- 1.2.5 Necessary Conditions for ...