LEADER 02887nam 22003853 450 001 9910861089103321 005 20240523080321.0 010 $a981-9929-43-1 035 $a(MiAaPQ)EBC31347727 035 $a(Au-PeEL)EBL31347727 035 $a(CKB)32136287800041 035 $a(EXLCZ)9932136287800041 100 $a20240523d2024 uy 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 205 $a1st ed. 210 1$aSingapore :$cSpringer,$d2024. 210 4$d©2024. 215 $a1 online resource (201 pages) 225 1 $aNew Frontiers in Regional Science: Asian Perspectives Series ;$vv.70 311 $a981-9929-42-3 327 $aIntro -- Preface -- Contents -- Chapter 1: Possibilities in Linear Inequality Systems -- 1.1 Introduction -- 1.2 Tucker´s Theorem -- 1.3 Theorem of Alternatives in Respect of Linear Inequality Systems -- References -- Chapter 2: Concave Functions, Convex Functions, and Their Periphery -- 2.1 Introduction -- 2.2 Assumptions and Definitions -- 2.3 Basic Characteristics and Mutual Relationships -- References -- Chapter 3: Nonlinear Programming Problems -- 3.1 Introduction -- 3.2 Nonlinear Programming Problems -- 3.3 Constraint Qualification -- 3.4 Linear Programming Problems -- References -- Chapter 4: Frobenius´ Theorem -- 4.1 Introduction -- 4.2 Notation and Assumptions -- 4.3 Frobenius´ Theorem in Respect of Nonlinear Transformations -- 4.4 Frobenius´ Theorem in Respect of Linear Transformations -- 4.5 Indecomposability and Decomposability -- References -- Chapter 5: Dominant Diagonal Matrix and the Quadratic Form -- 5.1 Introduction -- 5.2 Dominant Diagonal Matrix -- 5.3 Quadratic Form -- 5.4 Stability of Matrices -- References -- Chapter 6: Application to Economics -- 6.1 Introduction -- 6.2 Eigenvalues in Matrices and Economics -- 6.2.1 What Is the Eigenvalue Problem? -- 6.2.2 Eigenvalue Display for Determinant -- 6.2.3 Power of the Matrix -- 6.2.4 Application to Industry-Related Input-Output Analysis -- 6.2.5 Application to Population Distribution Analysis -- 6.3 Linear Programming, Nonlinear Programming, and Economics -- 6.3.1 What Is Linear Programming? -- 6.3.2 Application of the Linear Programming Problem -- 6.3.3 What Is the Nonlinear Programming Problem? -- 6.3.4 Optimization Problem and Eigenvalues -- 6.4 Books Recommended to Read -- References -- Appendix -- List of Symbols -- Index. 410 0$aNew Frontiers in Regional Science: Asian Perspectives Series 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