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Counter example of LU decomposition uniqueness

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#linear-algebra #numerical-linear-algebra #matrix-decomposition #lu-decomposition
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Unit lower triangular matrices multiplication

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#matrices #lu-decomposition #triangularization
56
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Proving by induction that $L = I + \sum_{ k=1}^{n-1} u ^{(k)} e ^T _k $

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#linear-algebra #matrices #induction #numerical-linear-algebra #lu-decomposition
94
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Understanding the proof the iterative improvement method for the result of linear equation solving using LU decomposition in numerical recipes

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#numerical-linear-algebra #gaussian-elimination #rounding-error #lu-decomposition
310
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Calculate the LU-decomposition $PA=LU$ : How do we calulate $L$?

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#matrices #numerical-methods #lu-decomposition
85
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Example of regular tridiagonal matrix $A$ with given properties

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#matrices #numerical-methods #tridiagonal-matrices #lu-decomposition
161
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DU decomposition

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#matrices #lu-decomposition
236
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Is there any situation where the LDU decomposition is the same as the eigenvalue decomposition?

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#linear-algebra #matrices #matrix-decomposition #gaussian-elimination #lu-decomposition
250
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Efficient LU decomposition of matrix after updating diagonal

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#linear-algebra #matrices #lu-decomposition
102
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Do you have to start with the first row during LU decomposition?

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#linear-algebra #lu-decomposition #cholesky-decomposition
43
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How to find a solution other than the vector $0$ of Linear System $AX=b$ with $b$ belonging to $0$

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#linear-algebra #algorithms #systems-of-equations #linear-programming #lu-decomposition
81
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Block LU factorization with more than two blocks?

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#linear-algebra #matrices #matrix-decomposition #block-matrices #lu-decomposition
105
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LU Decomposition without Gaussian Elimination

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#linear-algebra #programming #lu-decomposition
26
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Necessary and suffcient condition for LR-decompositions

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#linear-algebra #numerical-methods #lu-decomposition
55
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A question about the product of commutators in an article of Vaserstein

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#linear-algebra #matrices #matrix-decomposition #lu-decomposition

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