Eigenvalue Problem and Nonlinear Programming Problem
For Economic Studies
(Sprache: Englisch)
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...
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Klappentext zu „Eigenvalue Problem and Nonlinear Programming Problem “
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.
Inhaltsverzeichnis zu „Eigenvalue Problem and Nonlinear Programming Problem “
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.
Autoren-Porträt von Keiko Nakayama
Keiko Nakayama, Professor, Chukyo University, Nagoya, JapanKeiko 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)
Bibliographische Angaben
- Autor: Keiko Nakayama
- 2024, 2024, VIII, 196 Seiten, 1 farbige Abbildungen, Masse: 15,5 x 23,5 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 9819929423
- ISBN-13: 9789819929429
Sprache:
Englisch
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