03502nam 22006375 450 991086108910332120240521105431.0981-9929-43-110.1007/978-981-99-2943-6(MiAaPQ)EBC31347727(Au-PeEL)EBL31347727(CKB)32136287800041(DE-He213)978-981-99-2943-6(EXLCZ)993213628780004120240520d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierEigenvalue Problem and Nonlinear Programming Problem For Economic Studies /by Keiko Nakayama1st ed. 2024.Singapore :Springer Nature Singapore :Imprint: Springer,2024.1 online resource (201 pages)New Frontiers in Regional Science: Asian Perspectives,2199-5982 ;70981-9929-42-3 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.New Frontiers in Regional Science: Asian Perspectives,2199-5982 ;70Regional economicsSpatial economicsEconometricsMathematicsPhilosophyStatisticsRegional and Spatial EconomicsQuantitative EconomicsPhilosophy of MathematicsStatistics in Business, Management, Economics, Finance, InsuranceRegional economics.Spatial economics.Econometrics.MathematicsPhilosophy.Statistics.Regional and Spatial Economics.Quantitative Economics.Philosophy of Mathematics.Statistics in Business, Management, Economics, Finance, Insurance.330.9Nakayama Keiko1427031MiAaPQMiAaPQMiAaPQBOOK9910861089103321Eigenvalue Problem and Nonlinear Programming Problem4163264UNINA