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Generic skew-symmetric matrix polynomials with fixed rank and fixed odd grade

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We show that the set of m×m complex skew-symmetric matrix polynomials of odd grade d, i.e., of degree at most d, and (normal) rank at most 2r is the closure of the single set of… Click to show full abstract

We show that the set of m×m complex skew-symmetric matrix polynomials of odd grade d, i.e., of degree at most d, and (normal) rank at most 2r is the closure of the single set of matrix polynomials ...

Keywords: symmetric matrix; skew symmetric; matrix; odd grade; matrix polynomials

Journal Title: Linear Algebra and its Applications
Year Published: 2017

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