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How can I solve "average" best rank-$1$ approximation?

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#matrices #optimization #least-squares #quadratic-programming #rank-1-matrices
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All rank-1 matrices have an SVD

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#linear-algebra #matrices #matrix-decomposition #svd #rank-1-matrices
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Eigenvalues of the rank one matrix $uv^T$

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#linear-algebra #matrices #eigenvalues-eigenvectors #diagonalization #rank-1-matrices
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Cones of positive semidefinite matrices generated by matrices of rank $1$

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#matrices #convex-analysis #multilinear-algebra #rank-1-matrices
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Characteristic polynomial of a matrix of $1$'s

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#linear-algebra #matrices #characteristic-polynomial #rank-1-matrices
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Finding eigenvectors of a rank one projection matrix

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#linear-algebra #matrices #eigenvalues-eigenvectors #projection-matrices #rank-1-matrices
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Optimal symmetric rank-1 approximation

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#linear-algebra #matrices #derivatives #optimization #rank-1-matrices
414
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Find a linear combination of matrices that has rank 1

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#matrices #matrix-rank #rank-1-matrices
930
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Convex hull of rank-$1$ matrices is the nuclear norm unit ball

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#matrices #convex-analysis #convex-hulls #nuclear-norm #rank-1-matrices
195
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Given rank-$1$ matrix $A$, how to compute $A^{100}$?

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#linear-algebra #matrices #eigenvalues-eigenvectors #rank-1-matrices
917
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$2$-norm of a rank-$1$ matrix

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#matrices #matrix-norms #spectral-norm #rank-1-matrices
228
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Find out the convex hull of the set $\left\{\pm \mathbf{u} \mathbf{u}^{T} \mid\|\mathbf{u}\|=1\right\}$ in a compact form ($u$ is a n-d vector)

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#matrices #convex-analysis #convex-hulls #rank-1-matrices
398
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$3 \times3$ matrices with rank $1$ or $2$ are manifolds

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#matrices #differential-geometry #manifolds #matrix-rank #rank-1-matrices
268
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Can this $3 \times 3$ tridiagonal Toeplitz matrix be rank-$1$?

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#matrices #matrix-rank #tridiagonal-matrices #toeplitz-matrices #rank-1-matrices
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What does "rank one" in "rank one constraint system" mean?

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#matrices #terminology #cryptography #constraints #rank-1-matrices

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