eigenstructured
Eigenstructured refers to a property of matrices or linear operators that relates to their eigenvalues and eigenvectors. A matrix is considered "eigenstructured" if it exhibits certain desirable patterns or relationships among its eigenvalues and eigenvectors. This term is not a standard, universally defined mathematical term but rather a descriptive one used in specific contexts, often in numerical analysis or theoretical linear algebra, to highlight a particular structure that can be exploited for computational efficiency or theoretical insight.
For instance, a matrix might be considered eigenstructured if its eigenvectors are orthogonal or form a basis
The concept of eigenstructure is important because algorithms for computing eigenvalues and eigenvectors can often perform