Eigenvalue Problem and Nonlinear Programming Problem

For Economic Studies

Keiko Nakayama

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Hardback

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English

Springer Verlag, Singapore
21 May 2024

Economic theory & philosophy; Political economy; Philosophy of mathematics; Probability & statistics

Series: 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.

By: Keiko Nakayama
Imprint: Springer Verlag, Singapore
Country of Publication: Singapore
Edition: 2024 ed.
Volume: 70
Dimensions: Height: 235mm, Width: 155mm,
ISBN: 9789819929429
ISBN 10: 9819929423
Series: New Frontiers in Regional Science: Asian Perspectives
Pages: 196
Publication Date: 21 May 2024
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

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)