- Matrices
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{{Orphan|date=March 2017}}In mathematics, the spectral abscissa of a matrix or a bounded linear operator is the supremum among the real part of the elements in its spectrum, sometimes denoted as MatricesLet λ1, ..., λs be the (real or complex) eigenvalues of a matrix A ∈ Cn × n. Then its spectral abscissa is defined as: For example, if the set of eigenvalues were = {1+3i,2+3i,4-2i}, then the Spectral abscissa in this case would be 4. It is often used as a measure of stability in control theory, where a continuous system is stable if all its eigenvalues are located in the left half plane, i.e. See alsoSpectral radius{{DEFAULTSORT:Spectral Abscissa}}{{Linear-algebra-stub}} 2 : Spectral theory|Matrix theory |