Eigenvalue Problem and Nonlinear Programming Problem

For Economic Studies

von Keiko Nakayama

196 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

This book focuses on the Frobenius theorem regarding a nonlinear simultaneous system. The Frobenius theorem is well known as a condition for a linear simultaneous system’s having a nonnegative solution. Generally, however, the condition of a simultaneous system, including a non-linear system’s having a nonnegative solution, is hardly discussed at all. This book, therefore, extends the conventional Frobenius theorem for nonlinear simultaneous systems for economic analysis.

 Almost all static optimization problems in economics involve nonlinear programing. Theoretical models in economics are described in the form of a simultaneous system resulting from the rational optimization behavior of households and enterprises. On the other hand, rational optimization behavior of households and enterprises is, mathematically speaking, expressed as nonlinear programing. For this reason it is important to understand the meaning of nonlinear programing. Because this book includes explanations of the relations among various restrictions in a nonlinear programing systematically and clearly, this book is suitable for students in graduate school programs in economics.

• Reihe: New Frontiers in Regional Science: Asian Perspectives
• Themen: Wirtschaftswissenschaft, Finanzen, Betriebswirtschaft und Management Wirtschaftswissenschaft Wirtschaftspolitik, politische Ökonomie
• ISBN: 9789819929450
• Sprache: Englisch
• Erscheinungsdatum: 22.05.2025
• Größe: 23.5 x 15.5 cm
• Verlag: Springer Singapore