single-oh.php

TRAFST Vol.1 No.1 pp. 36-42

Survey Paper:

From Duality Principle to Duality Technology

Kazuo MUROTA

Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan

Received:
11 December 2006
Accepted:
27 January 2007
Published:
April 15, 2007
Keywords:
duality, optimization, control theory
Abstract

Duality plays a pivotal role in every field of science and engineering, but its concrete meaning is diverse. In search of duality-based technology duality concepts are classified and the role of duality in optimization and control is discussed. As fundamental duality phenomena in mathematics, emphasis is laid on the dual space in linear algebra and the Legendre transformation for convex functions. Duality between connotation and denotation is also explained. Two specific examples indicate recent fruitful interactions between different areas through duality.

Cite this article as:
Kazuo MUROTA, “From Duality Principle to Duality Technology,” , Vol.1, No.1, pp. 36-42, 2007.
Data files:

*This site is desgined based on HTML5 and CSS3 for modern browsers, e.g. Chrome, Firefox, Safari, Edge, Opera.

Last updated on May. 12, 2021