Eigenvalue Problem and Nonlinear Programming Problem For Economic Studies /

Bibliographic Details
Main Author: Nakayama, Keiko (Author)
Corporate Author: SpringerLink (Online service)
Summary:VIII, 196 p. 29 illus., 1 illus. in color.
text
Language:English
Published: Singapore : Springer Nature Singapore : Imprint: Springer, 2024.
Edition:1st ed. 2024.
Series:New Frontiers in Regional Science: Asian Perspectives, 70
Subjects:
Online Access:https://doi.org/10.1007/978-981-99-2943-6
Format: Electronic Book

MARC

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490 1 |a New Frontiers in Regional Science: Asian Perspectives,  |x 2199-5982 ;  |v 70 
505 0 |a 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. 
520 |a 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. 
532 8 |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. 
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532 8 |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com 
650 0 |a Regional economics. 
650 0 |a Spatial economics. 
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650 2 4 |a Quantitative Economics. 
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