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portada Eigenvalue Problem and Nonlinear Programming Problem: For Economic Studies
Type
Physical Book
Author
Publisher
Language
English
Pages
200
Format
Hardcover
ISBN13
9789819929429
Categories

Eigenvalue Problem and Nonlinear Programming Problem: For Economic Studies

Keiko Nakayama (Author) · Springer · Hardcover

Eigenvalue Problem and Nonlinear Programming Problem: For Economic Studies - Nakayama, Keiko

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Synopsis "Eigenvalue Problem and Nonlinear Programming Problem: For Economic Studies"

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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