Last Updated: 12 February 2025
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In a series of studies with Robert Kalaba and other collaborators, gathered together in the final section, below, three adaptive computation techniques are developed to facilitate the direct analysis of real-world nonlinear systems in whatever form they actually appear:
NOTE: All of the eigenvalue/eigenvector tracking algorithms below can be implemented via the NASA Program for the Nonlocal Automated Sensitivity Analysis of parameterized nonlinear systems F(x,b)=0 over parameter intervals [b0,b1].
"Analysis does not owe its really significant increases of the last century to any mysterious use of the (imaginary number i) but to the quite natural circumstance that one has infinitely more freedom of mathematical movement if he lets quantities vary in a plane instead of only on a line." --- Leopold Kronecker.