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· arXiv cs/0610045

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math.OA 1

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2026 1

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UNVERDICTED 1

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An algebraic characterization of non-singular matrix semicircles

math.OA · 2026-04-25 · unverdicted · novelty 7.0

Non-singularity of matrix semicircles at zero is equivalent to LR-semisimplicity of the pencil and symmetric DS-scalability of the covariance map, with f(0) equal to one over pi times the trace of the trace-minimizing positive solution C.

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  • An algebraic characterization of non-singular matrix semicircles math.OA · 2026-04-25 · unverdicted · none · ref 6

    Non-singularity of matrix semicircles at zero is equivalent to LR-semisimplicity of the pencil and symmetric DS-scalability of the covariance map, with f(0) equal to one over pi times the trace of the trace-minimizing positive solution C.