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Eigenvalue Problem and Nonlinear Programming Problem
For Economic Studies English · Paperback / Softback

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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.

About the author










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)


Product details

Authors Keiko Nakayama
Publisher Springer, Berlin
 
Content Book
Product form Paperback / Softback
Publication date 22.05.2025
Subject Social sciences, law, business > Business > Economics
 
EAN 9789819929450
ISBN 978-981-9929-45-0
Pages 196
Illustrations VIII, 196 p. 29 illus., 1 illus. in color.
Dimensions (packing) 15.5 x 23.5 cm
 
Series New Frontiers in Regional Science: Asian Perspectives > 70
Subjects Wirtschaftspolitik, Wirtschaftstheorie, Wirtschaftspolitik, politische Ökonomie, Wirtschaftstheorie und -philosophie, Stadtentwicklung, Wahrscheinlichkeitsrechnung und Statistik, Philosophie der Mathematik, Mathematik / Philosophie, Geisteswissenschaften, Regionalentwicklung, eigenvalue, Perron-Frobeniustheorem, Nonlinearprogramming, staticoptimization, StabilityofSystem
 

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