Titlebook: Eigenvalue Problem and Nonlinear Programming Problem; For Economic Studies Keiko Nakayama Book 2024 Springer Nature Singapore Pte Ltd. 2024

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Eigenvalue Problem and Nonlinear Programming Problem978-981-99-2943-6Series ISSN 2199-5974 Series E-ISSN 2199-5982

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https://doi.org/10.1007/978-1-4684-7862-4ow eigenvalues and nonlinear programming are used in economics with easy to understand examples. In addition, this chapter introduces some well-known books dealing with nonlinear programming problems and eigenvalue problems, as well as some books that the author found useful when writing this book.

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Concave Functions, Convex Functions, and Their Periphery,f concave functions, i.e., strictly concave functions, strictly quasiconcave functions, semistrictly concave functions, quasiconcave functions, strictly pseudoconcave functions, and pseudoconcave functions. Therefore, this chapter describes the properties and interrelationships of these various functions.

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Nonlinear Programming Problems,erefore, this chapter systematically describes nonlinear programming problems. In addition, the interrelationships among typical constraint assumptions are organized, and linear programming problems are also mentioned.

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Application to Economics,ow eigenvalues and nonlinear programming are used in economics with easy to understand examples. In addition, this chapter introduces some well-known books dealing with nonlinear programming problems and eigenvalue problems, as well as some books that the author found useful when writing this book.

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W. F. Bynum,E. J. Browne,Roy PorterKnowledge of solvability of linear inequality systems is indispensable for discussing constrained optimization problems, which is one of the subjects of this book. Therefore, this chapter introduces various linear inequality systems and then systematically describes and proves various theorems on their solvability.

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