Gauss sums and the matrix equation $XX^T = 0$ over fields of characteristic two

John Perkins

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Displaying similar documents to “Gauss sums and the matrix equation $X X^{T} = 0$ over fields of characteristic two”

Gauss sums and the number of solutions to the matrix equation $X A X^{T} = 0$ over $G F (2^{y})$

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Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that QTP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.

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Displaying similar documents to “Gauss sums and the matrix equation X X T = 0 over fields of characteristic two”

Gauss sums and the number of solutions to the matrix equation X A X T = 0 over G F ( 2 y )

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On the Yang-Baxter-like matrix equation for rank-two matrices

A note to the approximation of one matrix by a matrix of another rank

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Displaying similar documents to “Gauss sums and the matrix equation $X X^{T} = 0$ over fields of characteristic two”

Gauss sums and the number of solutions to the matrix equation $X A X^{T} = 0$ over $G F (2^{y})$