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15
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Similarity of a matrix

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#linear-algebra #functional-analysis #matrix-calculus #matrix-decomposition #matrix-rank
141
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Positive definite matrix from product of positve diagonal matrix with asymmetric matrix with positive eignevalues

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#linear-algebra #eigenvalues-eigenvectors #matrix-decomposition #positive-definite
117
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Matrix decomposition using logs

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#numerical-linear-algebra #matrix-decomposition
24
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multiplicative vectors based on positive semi-definite matrix

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#matrices #matrix-decomposition
60
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Numerical linear algebra problem (QR decomposition)

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#linear-algebra #numerical-methods #numerical-linear-algebra #matrix-decomposition
410
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Block-diagonalization with unitary similarity transformations: ($A \rightarrow U B U^\dagger $, $B$ block-diagonal)

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#linear-algebra #matrix-decomposition #block-matrices #unitary-matrices #similar-matrices
130
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Polar Decomposition of $O(p,q)$

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#matrix-decomposition #bilinear-form #orthogonal-matrices
41
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How to interpret the square matrix M'M?

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#matrices #inner-products #intuition #matrix-decomposition
71
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Apparent SVD decomposition of a $2 \times 2$ matrix

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#linear-algebra #matrix-decomposition #svd
437
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Why the singular values in SVD are always hierarchical/descending?

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#linear-algebra #matrix-decomposition #svd #singular-values #principal-component-analysis
26
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numeric computation of a partly decomposable matrix

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#combinatorics #permutations #matrix-decomposition
249
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Find the $n$th power of a 3-by-3 circulant matrix

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#linear-algebra #matrices #matrix-decomposition #diagonalization #circulant-matrices
133
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Why does subtracting a rank-$1$ matrix shift the singular vectors?

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#matrices #matrix-decomposition #svd
97
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Nearest semi-orthogonal matrix with fixed row

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#matrices #optimization #matrix-decomposition #stiefel-manifolds
57
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Can the Laplacian matrix of an undirected weighted graph be decomposed in the form of the Hadamard product ？

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#linear-algebra #matrices #graph-theory #matrix-decomposition #graph-laplacian

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