Kalaba, Robert E.; Spingarn, K.; Tesfatsion, Leigh

Applied Mathematics and Computation Vol. 7 (1980): 187-193.

This article develops a complete system of ordinary differential equations for tracking the Frobenius-Perron root (largest eigenvalue) of a parameterized matrix, together with a unit-normalized right eigenvector, over parameter intervals. The feasibility and accuracy of the method are illustrated by numerical example. Annotated pointers to related work can be accessed here: http://www.econ.iastate.edu/tesfatsi/nasahome.htm

JEL Classification: C6

Keywords: Eigenvalue, eigenvector, solution tracking, ordinary differential equations, Frobenius-Perron root, parameterized matrix