This encyclopedia entry summarizes work by Robert E. Kalaba and Leigh Tesfatsion on nonlocal sensitivity analysis (sensitivity analysis over parameter intervals). A complete differential system for accomplishing this nonlocal sensitivity analysis is implemented by means a Fortran program "Nasa"...

This article develops a complete system of ordinary differential equations for tracking a single eigenvalue of a parameterized matrix, together with one of its corresponding right or left eigenvectors, over parameter intervals. The feasibility and accuracy of the method are illustrated by...

The complete system of ordinary differential equations developed by Kalaba and Tesfatsion (1981) for tracking solution branches of parameterized nonlinear systems is tested using several illustrative examples. One example is the standard Ramsey optimal growth model, for which analytical...

This article develops a complete system of ordinary differential equations for tracking the eigenvalues and the right and left eigenvectors of nonsymmetric parameterized matrices over parameter intervals. A simpler reduced form of the ODE system is then derived for tracking the eigenvalues and...

This article develops a complete system of ordinary differential equations for tracking solution branches x(b) of a parameterized system of nonlinear equations F(x,b) = 0 along arbitrary user-designated paths for the parameter vector b. The complete system is obtained by augmenting the usual...

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...