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Showing 1 to 3 of 3 for “"Normal matrices"”.
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Higher Rank Numerical Ranges for Certain Non-Normal Matrices
… of higher rank numerical ranges for certain non-normal matrices, namely direct sums of Jordan blocks, and direct sums of the form (Jordan Block plus scalar multiple of the identity). The higher rank numerical range of a normal matrix is well-understood, but little is known in general, other than …
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Reciprocity and Normality in the Scattering Matrix of Disordered Media
… diagonal blocks encoding same-side reflection matrices (RMs) and off-diagonal blocks encoding transmission matrices (TMs) in opposing propagation directions. Under Helmholtz reciprocity, symmetry relations are imposed: RMs are symmetric, and forward and reverse TMs are mathematical transposes …