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What is the computation time of LU-, Cholesky and QR-decomposition?

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#optimization #matrix-decomposition #numerical-optimization #lu-decomposition
4.2k
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Finding the $LU$ factorization of the matrix

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#linear-algebra #matrices #matrix-decomposition
137
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Interpreting the Singular Value Decomposition of $\mathbf{A}$ in Terms of the Eigendecomposition of Functions of $\mathbf{A}$

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#linear-algebra #eigenvalues-eigenvectors #numerical-linear-algebra #matrix-decomposition #svd
75
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System of equations - solution for a matrix

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#linear-algebra #matrices #systems-of-equations #matrix-equations #matrix-decomposition
243
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Is there a trick to invert $I+ABA$ given a spectral decomposition of $A$ and $B$?

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#linear-algebra #matrices #eigenvalues-eigenvectors #inverse #matrix-decomposition
359
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Pseudo-inverse from CUR decomposition

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#linear-algebra #matrices #matrix-decomposition #pseudoinverse
438
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Iwasawa decomposition of SU(1,1)

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#lie-groups #lie-algebras #matrix-decomposition
1.7k
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How SVD for the frobenius norm has been calculated?

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#linear-algebra #matrix-decomposition #least-squares #singular-values #lu-decomposition
14
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Volume of subgroups and coset decompositions

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#group-theory #number-theory #matrix-decomposition
799
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In QR and LU factorizations what would the results be with transposed inputs?

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#linear-algebra #numerical-linear-algebra #matrix-decomposition #lu-decomposition
307
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Decomposition of a matrix by sparse matrices

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#linear-algebra #matrices #reference-request #finite-fields #matrix-decomposition
1.1k
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Implementation of Youla Decomposition for a square skew-symmetric matrix

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#linear-algebra #matrix-decomposition
72
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How to find the inverse of $(A\otimes A)(B\oplus B)^{-1}(A\otimes A)+I$ without forming the Kronecker product?

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#linear-algebra #matrices #inverse #matrix-decomposition #kronecker-product
184
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Decomposition of Determinant of Sub-Matrices of a Matrix

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#linear-algebra #matrices #determinant #matrix-decomposition
168
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For a real square matrix $S$ with all eigenvalues on the imaginary axis, does the following hold?

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#linear-algebra #matrices #eigenvalues-eigenvectors #matrix-decomposition #positive-definite

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