作者: Yasuo Murata
DOI:
关键词: Optimal control 、 Mathematical economics 、 Economic system 、 Stability (learning theory) 、 Economics 、 Von Neumann architecture 、 Dual (category theory) 、 Dynamical systems theory 、 Eigenvalues and eigenvectors 、 Linear system 、 Vector space
摘要: Economic Theory and Mathematical Economics: Mathematics for Stability Optimization of Systems provides information pertinent to the stability aspects optimization methods relevant various economic systems. This book presents mathematical theorems sufficient develop important systems, including Leontief input–output Keynesian dynamic models, Ramsey optimal accumulation von Neumann expanding Organized into two parts encompassing nine chapters, this begins with an overview useful on matrices, eigenvalue problems, matrices dominant diagonals P-matrices. text then explores linear transformations vector spaces. Other chapters consider Hawkins–Simon theorem concerning non-negative discusses as well dual relations applicable inequality The final chapter deals powerful control method dynamical is a valuable resource mathematicians, economists, research workers, graduate students.