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Eigenvalue Problem and Nonlinear Programming Problem : For Economic Studies / / by Keiko Nakayama



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Autore: Nakayama Keiko Visualizza persona
Titolo: Eigenvalue Problem and Nonlinear Programming Problem : For Economic Studies / / by Keiko Nakayama Visualizza cluster
Pubblicazione: Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2024
Edizione: 1st ed. 2024.
Descrizione fisica: 1 online resource (201 pages)
Disciplina: 330.9
Soggetto topico: Regional economics
Space in economics
Econometrics
Mathematics - Philosophy
Statistics
Regional and Spatial Economics
Quantitative Economics
Philosophy of Mathematics
Statistics in Business, Management, Economics, Finance, Insurance
Nota di contenuto: 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.
Sommario/riassunto: 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.
Titolo autorizzato: Eigenvalue Problem and Nonlinear Programming Problem  Visualizza cluster
ISBN: 981-9929-43-1
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910861089103321
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Serie: New Frontiers in Regional Science: Asian Perspectives, . 2199-5982 ; ; 70