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Minimising a function after Arnoldi decomposition

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#matrices #numerical-methods #numerical-linear-algebra #matrix-decomposition
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polar form of unitary operator

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#linear-algebra #linear-transformations #inner-products #matrix-decomposition
48
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$A_0 + zA_1 = \Sigma D(z) \Sigma^t$

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#linear-algebra #matrices #matrix-decomposition
145
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Solving extended positive definite system with Cholesky factorization

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#linear-algebra #numerical-linear-algebra #matrix-decomposition
125
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The Derivative of a Matrix Function with Nuclear Norm Term

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#derivatives #optimization #matrix-decomposition #nuclear-norm
59
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Wedderburn Decomposition of Matrix Algebras in MATLAB/Octave

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#matrices #numerical-methods #matlab #c-star-algebras #matrix-decomposition
242
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Rank-$1$ decomposition of symmetric, positive semidefinite matrix

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#linear-algebra #matrices #numerical-methods #numerical-linear-algebra #matrix-decomposition
1.5k
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How to decompose a square matrix into two non-square matrices?

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#matrices #optimization #matrix-decomposition
33.1k
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When eigenvectors for a matrix form a basis

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#matrices #eigenvalues-eigenvectors #matrix-calculus #matrix-decomposition #eigenfunctions
698
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Know 3D rotations from 2D projection transformation

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#linear-algebra #geometry #projective-geometry #matrix-decomposition #affine-geometry
740
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Finding inverse of polynomial matrix

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#linear-algebra #matrices #finite-fields #matrix-calculus #matrix-decomposition
175
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How can we get back a vector if we have a matrix consisting of product of that vector?

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#matrices #vectors #matrix-decomposition
451
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Finding whether two matrices are similar

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#linear-algebra #eigenvalues-eigenvectors #spectral-theory #matrix-decomposition
2k
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Proof $\Vert Ux \Vert_2 = \Vert x\Vert_2$ for unitary $U$?

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#linear-algebra #matrices #normed-spaces #proof-explanation #matrix-decomposition
93
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Inverse of matrix of a specific form.

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#matrices #inverse #matrix-decomposition

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