Here are three examples that we will consider. In each case, we have pre-computed the eigenvalues and eigenvectors (check them yourself). \[ A = \begin{bmatrix} 2 & 2 ...
When getting started with linear algebra, eigenvectors and eigenvalues remain shrouded in mystique for the uninitiated. While their behaviors govern the inner workings of matrix transformations, ...
The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...
The well-known error estimates for the numerical computation of eigenvalues of symmetric integral equations are extended to the computation of the eigenvectors. The ...
Abstract: This paper proposes techniques used in finding a power system operating point that is both economically optimal and stable in the small-signal sense. To make the system small-signal stable, ...
Abstract: This paper proposes an approach to find the eigenvalues and eigenvectors of a class of autonomous max-min-plus-scaling (MMPS) systems. First we show that time invariant, monotone and ...
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