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Eigenvalue problem and nonlinear programming problem = for economic studies /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Eigenvalue problem and nonlinear programming problem/ by Keiko Nakayama.
Reminder of title:	for economic studies /
Author:	Nakayama, Keiko.
Published:	Singapore :Springer Nature Singapore : : 2024.,
Description:	viii, 196 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Frobenius algebras. -
Online resource:	https://doi.org/10.1007/978-981-99-2943-6
ISBN:	9789819929436

Eigenvalue problem and nonlinear programming problem = for economic studies /
Nakayama, Keiko.

Eigenvalue problem and nonlinear programming problemfor economic studies /[electronic resource] :by Keiko Nakayama. - Singapore :Springer Nature Singapore :2024. - viii, 196 p. :ill., digital ;24 cm. - New frontiers in regional science: Asian perspectives,v. 702199-5982 ;. - New frontiers in regional science: Asian perspectives ;v. 70..

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.

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.

ISBN: 9789819929436

Standard No.: 10.1007/978-981-99-2943-6doiSubjects--Topical Terms:

708535
Frobenius algebras.

LC Class. No.: QA251.5

Dewey Class. No.: 515.946

Eigenvalue problem and nonlinear programming problem = for economic studies /
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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.
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