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WHY IS THE MATRIX $X Y^T$ RANK ONE? - MATHEMATICS STACK EXCHANGE
Jul 5, 2022 A rank one matrix is a matrix in which either the column space and the row space are 1-dimensional. This means you need only one vector to identify such subspaces.
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LINEAR ALGEBRA - COMPLETING A RANK-1 DECOMPOSITION OF A MATRIX ...
Dec 10, 2024 In particular, if one of the matrices has rank 1, there won't be a solution in most cases. I think for rank-1-decompositions sharing a matrix to exist, the images of the matrices …
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MATRICES - HOW TO APPROXIMATE A RANK-1 SOLUTION AFTER EXPLOITING ...
Jun 12, 2023 One potential remedy is to compute the projection of the SDP-relaxed solution onto the intersection of the set of rank-one matrices with your original constraints (if they are …
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WHAT IS A RANK-1 TENSOR? WHAT IS THE MEANING OF RANK IN THIS …
In this context, is rank-one tensor just a vector? That's what it seems like from studying Eq. (3.1). Does the term "rank" here have anything to do with the number of linearly independent …
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FINDING THE BEST RANK-ONE APPROXIMATION OF THE MATRIX $\\BF A$
Finding the best rank-one approximation of the matrix $\bf A$ Ask Question Asked 6 years, 9 months ago Modified 2 years, 1 month ago
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LINEAR ALGEBRA - EIGENVALUES OF A RANK-ONE UPDATE OF A MATRIX ...
Dec 26, 2018 However, there is an inexpensive way to compute the eigenvalues of rank-one update. The following comes from Demmel's Applied Numerical Linear Algebra subsection 5.3.3.
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FUNCTIONAL ANALYSIS - FINITE RANK OPERATORS ON HILBERT SPACES ...
Mar 15, 2019 Finite rank operators on Hilbert spaces Ask Question Asked 6 years, 5 months ago Modified 6 years, 4 months ago
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FUNCTIONAL ANALYSIS - UNDERSTAND RANK-ONE OPERATORS IN HILBERT …
Mar 5, 2021 Understand rank-one operators in Hilbert space Ask Question Asked 4 years, 5 months ago Modified 4 years, 5 months ago
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LINEAR ALGEBRA - WHAT PROPERTIES DOES A RANK-$1$ MATRIX HAVE ...
Jun 28, 2023 I have seen a lot of papers mentioning that a certain matrix is rank-$1$. What properties does a rank-$1$ matrix have? I know that if a matrix is rank-$1$ then there are no …
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LINEAR ALGEBRA - A RANK-ONE MATRIX IS THE PRODUCT OF TWO VECTORS ...
Jun 28, 2023 A rank-one matrix is the product of two vectors Ask Question Asked 9 years, 8 months ago Modified 2 years, 1 month ago
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