Eigenvalue Problem and Nonlinear Programming Problem : For Economic Studies

• Autore: Nakayama Keiko
• Pubblicazione: Singapore : , : Springer, , 2024; ©2024
• Edizione: 1st ed.
• Descrizione fisica: 1 online resource (201 pages)
• Nota di contenuto: Intro -- 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.
• Titolo autorizzato: Eigenvalue Problem and Nonlinear Programming Problem
• ISBN: 981-9929-43-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910861089103321
• Lo trovi qui: Univ. Federico II
• Serie: New Frontiers in Regional Science: Asian Perspectives Series