Eigenvalue Problem and Nonlinear Programming Problem

For Economic Studies
2024
ISBN: 978-981-99-2942-9
Verlag: Springer Nature Singapore

Buch, Englisch, 196 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 477 g

Reihe: New Frontiers in Regional Science: Asian Perspectives

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.

Zielgruppe

Research

Autoren/Hrsg.

Nakayama, Keiko

Fachgebiete

• Wirtschaftswissenschaften Volkswirtschaftslehre Regional- und Städtische Wirtschaft
• Wirtschaftswissenschaften Volkswirtschaftslehre Volkswirtschaftslehre Allgemein Ökonometrie
• Mathematik | Informatik Mathematik Operations Research
• Wirtschaftswissenschaften Betriebswirtschaft Wirtschaftsmathematik und -statistik

Inhaltsverzeichnis

Chapter 1   Nonlinear Programming.- Chapter 2   Perron-Frobenius Theorem.- Chapter 3   Dominant Diagonal Matrix and Quadratic Form.- Chapter 4   Recent Issue on Eigenvalue Problem.- Appendix   Lists of Mathematical Theorems and Definitions.

Über Autor(innen)

Keiko Nakayama, Professor, Chukyo University, Nagoya, Japan

Keiko Nakayama, 2022, A Forest Environmental Tax Scheme in Japan: Toward Water Source Cultivation-, Springer

Keiko Nakayama and Yuzuru Miyata (Editors), 2019, Theoretical and Empirical Analysis in Environmental Economics, Springer (Chapter 1 and Chapter 4)