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YCor
YCor
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Bound for Matrix Inner Productmatrix inner product based on singular values

Regarding the matrix inner product based on singular values, Lewis  (1995) " The convex analysis of unitarily invariant matrix functions ""The convex analysis of unitarily invariant matrix functions" states the result by von neumannNeumann that $\langle X,Y \rangle \leq \langle \sigma_X ,\sigma_Y \rangle$. Does anyone know any easy proof or reference for it. i couldntI couldn't understand the reference cited in the paper.

Bound for Matrix Inner Product based on singular values

Lewis(1995) " The convex analysis of unitarily invariant matrix functions " states the result by von neumann that $\langle X,Y \rangle \leq \langle \sigma_X ,\sigma_Y \rangle$. Does anyone know any easy proof or reference for it. i couldnt understand the reference cited in the paper.

Bound for matrix inner product based on singular values

Regarding the matrix inner product based on singular values, Lewis  (1995) "The convex analysis of unitarily invariant matrix functions" states the result by von Neumann that $\langle X,Y \rangle \leq \langle \sigma_X ,\sigma_Y \rangle$. Does anyone know any easy proof or reference for it. I couldn't understand the reference cited in the paper.

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Prateek Sasan
Prateek Sasan
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Bound for Matrix Inner Product based on singular values

Lewis(1995) " The convex analysis of unitarily invariant matrix functions " states the result by von neumann that $\langle X,Y \rangle \leq \langle \sigma_X ,\sigma_Y \rangle$. Does anyone know any easy proof or reference for it. i couldnt understand the reference cited in the paper.