03678nam a22006015i 4500 978-981-99-2943-6 DE-He213 20251030112050.0 cr nn 008mamaa 240520s2024 si | s |||| 0|eng d 9789819929436 978-981-99-2943-6 10.1007/978-981-99-2943-6 doi HT388 KCP bicssc GTB bicssc BUS067000 bisacsh KCP thema GTM thema Nakayama, Keiko. author. aut http://id.loc.gov/vocabulary/relators/aut 77103 Eigenvalue Problem and Nonlinear Programming Problem [electronic resource] : For Economic Studies / by Keiko Nakayama. 1st ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. VIII, 196 p. 29 illus., 1 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda New Frontiers in Regional Science: Asian Perspectives, 2199-5982 ; 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. Regional economics. 71042 Spatial economics. 71043 Econometrics. 57695 Mathematics Philosophy. 69649 Statistics . 65982 Regional and Spatial Economics. 71044 Quantitative Economics. 70330 Philosophy of Mathematics. 69650 Statistics in Business, Management, Economics, Finance, Insurance. 69738 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819929429 Printed edition: 9789819929443 Printed edition: 9789819929450 New Frontiers in Regional Science: Asian Perspectives, 2199-5982 ; 70 72238 https://doi.org/10.1007/978-981-99-2943-6 ZDB-2-ECF ZDB-2-SXEF 59982 59982