UID:
almahu_9949744375802882
Umfang:
VIII, 196 p. 29 illus., 1 illus. in color.
,
online resource.
Ausgabe:
1st ed. 2024.
ISBN:
9789819929436
Serie:
New Frontiers in Regional Science: Asian Perspectives, 70
Inhalt:
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.
Anmerkung:
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.
In:
Springer Nature eBook
Weitere Ausg.:
Printed edition: ISBN 9789819929429
Weitere Ausg.:
Printed edition: ISBN 9789819929443
Weitere Ausg.:
Printed edition: ISBN 9789819929450
Sprache:
Englisch
DOI:
10.1007/978-981-99-2943-6
URL:
https://doi.org/10.1007/978-981-99-2943-6
URL:
Volltext
(URL des Erstveröffentlichers)
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