TY  - BOOK
AU  - Nakayama,Keiko
ED  - SpringerLink (Online service)
TI  - Eigenvalue Problem and Nonlinear Programming Problem: For Economic Studies 
T2  - New Frontiers in Regional Science: Asian Perspectives,
SN  - 9789819929436
AV  - HT388 
PY  - 2024///
CY  - Singapore
PB  - Springer Nature Singapore, Imprint: Springer
KW  - Regional economics
KW  - Spatial economics
KW  - Econometrics
KW  - Mathematics
KW  - Philosophy
KW  - Statistics 
KW  - Regional and Spatial Economics
KW  - Quantitative Economics
KW  - Philosophy of Mathematics
KW  - Statistics in Business, Management, Economics, Finance, Insurance
N1  - 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
N2  - 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
UR  - https://doi.org/10.1007/978-981-99-2943-6
ER  -