Eigenvalue Problem and Nonlinear Programming Problem

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The book extends the Frobenius theorem, traditionally applied to linear simultaneous systems, to explore its implications for nonlinear systems, particularly in economic analysis. It addresses the lack of discussion surrounding the conditions necessary for nonlinear systems to have nonnegative solutions, providing a comprehensive examination of this topic. By doing so, it enhances the understanding of the theorem's applicability beyond linear frameworks, offering valuable insights for economists and researchers interested in nonlinear dynamics.