List questions from rank-1-matrices

Published on 22 Oct 2014 - 21:32

99

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Generation of rank-$2$ matrices from a dictionary of rank-$1$ matrices

Published on 24 Dec 2014 - 17:10

436

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$\lambda_{\min}$ and $\lambda_{\max}$ of rank-1 sum of matrices

Published on 08 Dec 2019 - 15:03

1.5k

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$\det(I+A)=1+\operatorname{Tr}(A)$ if $\operatorname{rank}(A)=1$

Published on 27 Jun 2020 - 15:06

111

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Applications where rank-1 matrices are useful

Published on 16 Sep 2016 - 22:43

493

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Element-wise upper bound by rank-1 matrix

Published on 01 Nov 2016 - 3:24

463

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Recover vector $x$ from rank-$1$ matrix $Q=xx^H$

Published on 05 Nov 2016 - 21:01

542

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Factoring a given rank-$1$ matrix

Published on 25 Jan 2017 - 8:42

670

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Approximating a given matrix with a rank 1 matrix Hadamard product with another given matrix

Published on 23 Feb 2017 - 1:37

165

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Frobenius and spectral norms of rank-$1$ matrices

Published on 21 Feb 2023 - 15:10

104

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Connection between rank one matrices and rank one functions

Published on 16 Mar 2023 - 13:00

68

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On the linear system $A x = 0$ when $A$ is rank-one

Published on 25 May 2023 - 3:56

112

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Prove that there is a rank one matrix $B$ so that $Bx = y$ where $B$ has matrix norm $1$

Published on 16 Jun 2023 - 13:13

46

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Construct biorthogonal basis for rank-1 matrix?

Published on 04 Jul 2023 - 2:12

33

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Equivalence between first-order optimality conditions for rank-$1$ constraint and quadratic form

Published on 11 Jul 2023 - 7:53

List Question

Representation of a rank-$1$ matrix

Generation of rank-$2$ matrices from a dictionary of rank-$1$ matrices

$\lambda_{\min}$ and $\lambda_{\max}$ of rank-1 sum of matrices

$\det(I+A)=1+\operatorname{Tr}(A)$ if $\operatorname{rank}(A)=1$

Applications where rank-1 matrices are useful

Element-wise upper bound by rank-1 matrix

Recover vector $x$ from rank-$1$ matrix $Q=xx^H$

Factoring a given rank-$1$ matrix

Approximating a given matrix with a rank 1 matrix Hadamard product with another given matrix

Frobenius and spectral norms of rank-$1$ matrices

Connection between rank one matrices and rank one functions

On the linear system $A x = 0$ when $A$ is rank-one

Prove that there is a rank one matrix $B$ so that $Bx = y$ where $B$ has matrix norm $1$

Construct biorthogonal basis for rank-1 matrix?

Equivalence between first-order optimality conditions for rank-$1$ constraint and quadratic form

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