List questions from lu-decomposition

Published on 16 Mar 2026 - 9:44

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Is a symmetric matrix positive definite iff $D$ in its LDU decomposition is positive definite?

Published on 09 May 2020 - 17:41

160

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Solve many linear equations of similar structure

Published on 30 May 2020 - 3:44

452

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$PA = LU$ decomposition

Published on 25 Mar 2026 - 5:53

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Is the permutation matrix P of PLU decomposition unique?

Published on 14 Jun 2020 - 9:25

186

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Is $A$ ill conditioned matrix?

Published on 19 Jul 2020 - 16:56

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Calculate number of eigenvalues in interval $[-2, 3>$ of matrix $A$ using Sylvesters law of inertia and $LDL^T$ decomposition.

Published on 20 Jul 2020 - 19:19

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Complexity of LUP decomposition of tri-diagonal matrix to solve an equation?

Published on 06 Jul 2016 - 23:41

23.8k

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LU Decomposition vs. Cholesky Decomposition

Published on 03 Aug 2016 - 20:51

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reasons for error in lu decomposition

Published on 05 Aug 2016 - 8:45

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Pivot Matrix for Row Permutations in LU decomposition (C++/CUDA)

Published on 15 Aug 2016 - 15:51

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Cholesky decomposition when deleting one row and one and column.

Published on 18 Aug 2016 - 19:43

305

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$PA = LU$ descomposition. Prove that $\max_{1\leq i,j\leq n}|u_{i,j}| \leq 2\max_{1\leq i,j\leq n}|a_{i,j}|$

Published on 24 Aug 2016 - 6:48

24

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Incorrect theorem in preparation for polar decomposition in notes?

Published on 22 Sep 2016 - 7:19

699

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An algorithm for Cholesky factorization

Published on 05 Oct 2016 - 19:06

List Question

Determining whether a matrix is positive definite from its LU decomposition

Is a symmetric matrix positive definite iff $D$ in its LDU decomposition is positive definite?

Solve many linear equations of similar structure

$PA = LU$ decomposition

Is the permutation matrix P of PLU decomposition unique?

Is $A$ ill conditioned matrix?

Calculate number of eigenvalues in interval $[-2, 3>$ of matrix $A$ using Sylvesters law of inertia and $LDL^T$ decomposition.

Complexity of LUP decomposition of tri-diagonal matrix to solve an equation?

LU Decomposition vs. Cholesky Decomposition

reasons for error in lu decomposition

Pivot Matrix for Row Permutations in LU decomposition (C++/CUDA)

Cholesky decomposition when deleting one row and one and column.

$PA = LU$ descomposition. Prove that $\max_{1\leq i,j\leq n}|u_{i,j}| \leq 2\max_{1\leq i,j\leq n}|a_{i,j}|$

Incorrect theorem in preparation for polar decomposition in notes?

An algorithm for Cholesky factorization

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