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In mathematics, the spectral abscissa of a matrix or a bounded linear operator is the greatest real part of the matrix's spectrum. It is sometimes denoted α {\displaystyle \alpha }. As a transformation α : M n → R {\displaystyle \alpha :\mathrm {M} ^{n}\rightarrow \mathbb {R} } , the spectral abscissa maps a square matrix onto its largest real eigenvalue.
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