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15
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Cholesky solve for semi-definite system

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#linear-algebra #matrix-decomposition #sparse-matrices #lu-decomposition
1.4k
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Proof that SN (or Jordan-Chevalley) Decomposition is unique?

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#linear-algebra #matrices #matrix-decomposition #jordan-normal-form
89
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Proof verification for differentiation through complex SVD

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#matrices #proof-verification #complex-numbers #matrix-calculus #matrix-decomposition
650
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Trace of SVD low rank in Frobenius norm

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#proof-explanation #matrix-decomposition #trace #svd
524
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Sum of squared eigenvalues is at most trace of adjoint product

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition
90
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Is the orthogonal polar factor of matrices of nullity 1 smooth?

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#real-analysis #differential-geometry #matrix-calculus #matrix-decomposition #svd
205
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Particular additive matrix decomposition

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#matrices #matrix-decomposition #integer-programming
76
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show this is that.. I can't work with matrix.

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#matrices #discrete-mathematics #matrix-equations #matrix-decomposition
69
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In Row Vectors Martix - Why can we do column operations? and what is the pattern for system of linear equations in Column Matrix?

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#matrices #matrix-equations #matrix-calculus #matrix-decomposition #matrix-rank
24
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How to prove that there are only K distinct rows in eigenvector matrix when the original matrix only has k distinct rows?

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#matrices #eigenvalues-eigenvectors #matrix-decomposition
524
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How to prove that the singular value of product of two orthonormal matrix is related to the principal angles between their columns space?

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition #svd
75
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(condition for) real eigenvalues of an oblique rotation

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#linear-algebra #eigenvalues-eigenvectors #linear-transformations #rotations #matrix-decomposition
74
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expression of SVD of rank one matrix

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#linear-algebra #eigenvalues-eigenvectors #matrix-decomposition #symmetric-matrices
184
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Square root and exponential of diagonalized matrix

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#matrices #diagonalization #matrix-decomposition
201
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If the determinant of an real orthogonal matrix $Q$ is 1, prove that there exists a real skew-symmetric $K$ such that $Q=e^K$.

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#linear-algebra #matrix-decomposition #orthogonal-matrices

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