Intrinsic volumes of set of singular matrices
classification
🧮 math.DG
math.OCmath.PR
keywords
matricescaseintrinsicrealapplicationsasymptoticcomputationscompute
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We explicitly compute the intrinsic volume of the set of real (and real symmetric) matrices of Frobenius norm one and given corank (the case of matrices with zero determinant as a special case). We give asymptotic formulas for our computations and we discuss several examples and applications.
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