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020 _a9789819929436
_9978-981-99-2943-6
024 7 _a10.1007/978-981-99-2943-6
_2doi
050 4 _aHT388
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072 7 _aBUS067000
_2bisacsh
072 7 _aKCP
_2thema
072 7 _aGTM
_2thema
100 1 _aNakayama, Keiko.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_977103
245 1 0 _aEigenvalue Problem and Nonlinear Programming Problem
_h[electronic resource] :
_bFor Economic Studies /
_cby Keiko Nakayama.
250 _a1st ed. 2024.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2024.
300 _aVIII, 196 p. 29 illus., 1 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aNew Frontiers in Regional Science: Asian Perspectives,
_x2199-5982 ;
_v70
505 0 _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.
520 _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.
650 0 _aRegional economics.
_971042
650 0 _aSpatial economics.
_971043
650 0 _aEconometrics.
_957695
650 0 _aMathematics
_xPhilosophy.
_969649
650 0 _aStatistics .
_965982
650 1 4 _aRegional and Spatial Economics.
_971044
650 2 4 _aQuantitative Economics.
_970330
650 2 4 _aPhilosophy of Mathematics.
_969650
650 2 4 _aStatistics in Business, Management, Economics, Finance, Insurance.
_969738
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789819929429
776 0 8 _iPrinted edition:
_z9789819929443
776 0 8 _iPrinted edition:
_z9789819929450
830 0 _aNew Frontiers in Regional Science: Asian Perspectives,
_x2199-5982 ;
_v70
_972238
856 4 0 _uhttps://doi.org/10.1007/978-981-99-2943-6
912 _aZDB-2-ECF
912 _aZDB-2-SXEF
999 _c59982
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