LEADER 00898oam 2200277z- 450 001 9910162835003321 005 20230912161814.0 010 $a1-911352-15-6 010 $a1-911352-14-8 035 $a(CKB)3710000001044585 035 $a(BIP)064408763 035 $a(VLeBooks)9781911352150 035 $a(EXLCZ)993710000001044585 100 $a20220323c2016uuuu -u- - 101 0 $aeng 200 $aCrystals II: 2nd Battle of the Titans: Clash between Hypercosmic and the Supernatural (Celestial Battle) 210 $cAKAKIA Publications 215 $a1 online resource (332 p.) 225 $aCrystals 311 $a1-911352-17-2 676 $a823.92 700 $aAnastasiadis$b Antonis$01216568 906 $aBOOK 912 $a9910162835003321 996 $aCrystals II: 2nd Battle of the Titans: Clash between Hypercosmic and the Supernatural (Celestial Battle)$94180142 997 $aUNINA LEADER 03538nam 22006495 450 001 9910861089103321 005 20240521105431.0 010 $a981-9929-43-1 024 7 $a10.1007/978-981-99-2943-6 035 $a(MiAaPQ)EBC31347727 035 $a(Au-PeEL)EBL31347727 035 $a(CKB)32136287800041 035 $a(DE-He213)978-981-99-2943-6 035 $a(OCoLC)1435755014 035 $a(EXLCZ)9932136287800041 100 $a20240520d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEigenvalue Problem and Nonlinear Programming Problem $eFor Economic Studies /$fby Keiko Nakayama 205 $a1st ed. 2024. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024. 215 $a1 online resource (201 pages) 225 1 $aNew Frontiers in Regional Science: Asian Perspectives,$x2199-5982 ;$v70 311 08$a981-9929-42-3 327 $aChapter 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. 330 $aThis book focuses on the Frobenius theorem regarding a nonlinear simultaneous system. The Frobenius theorem is well known as a condition for a linear simultaneous system?s having a nonnegative solution. Generally, however, the condition of a simultaneous system, including a non-linear system?s having a nonnegative solution, is hardly discussed at all. This book, therefore, extends the conventional Frobenius theorem for nonlinear simultaneous systems for economic analysis. Almost all static optimization problems in economics involve nonlinear programing. Theoretical models in economics are described in the form of a simultaneous system resulting from the rational optimization behavior of households and enterprises. On the other hand, rational optimization behavior of households and enterprises is, mathematically speaking, expressed as nonlinear programing. For this reason, it is important to understand the meaning of nonlinear programing. Because this book includes explanations of the relations among various restrictions in a nonlinear programing systematically and clearly, this book is suitable for students in graduate school programs in economics. 410 0$aNew Frontiers in Regional Science: Asian Perspectives,$x2199-5982 ;$v70 606 $aRegional economics 606 $aSpace in economics 606 $aEconometrics 606 $aMathematics$xPhilosophy 606 $aStatistics 606 $aRegional and Spatial Economics 606 $aQuantitative Economics 606 $aPhilosophy of Mathematics 606 $aStatistics in Business, Management, Economics, Finance, Insurance 615 0$aRegional economics. 615 0$aSpace in economics. 615 0$aEconometrics. 615 0$aMathematics$xPhilosophy. 615 0$aStatistics. 615 14$aRegional and Spatial Economics. 615 24$aQuantitative Economics. 615 24$aPhilosophy of Mathematics. 615 24$aStatistics in Business, Management, Economics, Finance, Insurance. 676 $a330.9 700 $aNakayama$b Keiko$01427031 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910861089103321 996 $aEigenvalue Problem and Nonlinear Programming Problem$94163264 997 $aUNINA