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math.FA2017
Matrices similar to partial isometries
Stephan Ramon Garcia, David Sherman
We determine when a matrix is similar to a partial isometry, refining a result of Halmos--McLaughlin.
math.FA2017
Supercharacters and the discrete Fourier, cosine, and sine transforms
Stephan Ramon Garcia, Samuel Yih
Using supercharacter theory, we identify the matrices that are diagonalized by the discrete cosine and discrete sine transforms, respectively. Our method affords a combinatorial in…