List questions from numerical-linear-algebra

Published on 17 Mar 2026 - 7:38

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Showing that the Jacobi method doesn't converge with $A=\begin{bmatrix}2 & \pm2\sqrt2 & 0 \\ \pm2\sqrt2&8&\pm2\sqrt2 \\ 0&\pm2\sqrt2&2 \end{bmatrix}$

Published on 24 Mar 2026 - 15:28

122

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Finding $Ax=b$ iteratively using residuum vectors

Published on 21 Mar 2026 - 3:25

33

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Pack two fractional values into a single integer while preserving a total order

Published on 20 Mar 2026 - 18:54

763

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Use Gershgorin's theorem to show that a matrix is nonsingular

Published on 21 Mar 2026 - 0:47

5.1k

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Rate of convergence of Newton's method near a double root.

Published on 22 Mar 2026 - 12:34

72

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Linear Algebra - Linear Combinations Question

Published on 22 Mar 2026 - 8:01

255

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Proof of an error estimation/inequality for a linear $Ax=b$.

Published on 24 Mar 2026 - 13:57

178

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How to find a set of $2k-1$ vectors such that each element of set is an element of $\mathcal{R}$ and any $k$ elements of set are linearly independent?

Published on 21 Mar 2026 - 1:28

395

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Understanding iterative methods for solving $Ax=b$ and why they are iterative

Published on 22 Mar 2026 - 12:18

166

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Formula for eigenvector corresponding to a simple eigenvalue

Published on 22 Mar 2026 - 5:57

277

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How to generate a large PSD matrix $A \in \mathbb{R}^{n \times n}$, where $\mathcal{O}(n) \sim 10^3$

Published on 24 Mar 2026 - 20:58

144

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Gram matrices in the Rayleigh-Ritz algorithm

Published on 22 Mar 2026 - 8:21

320

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Proof request of $p(A) < 1 \space \text{iff} \space \lim_{k \to \infty} A^k = 0$

Published on 24 Mar 2026 - 20:32

729

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Checking a given non-symmetric matrix is positive definite.

Published on 25 Mar 2026 - 1:24

List Question

sources about SVD complexity

Showing that the Jacobi method doesn't converge with $A=\begin{bmatrix}2 & \pm2\sqrt2 & 0 \\ \pm2\sqrt2&8&\pm2\sqrt2 \\ 0&\pm2\sqrt2&2 \end{bmatrix}$

Finding $Ax=b$ iteratively using residuum vectors

Pack two fractional values into a single integer while preserving a total order

Use Gershgorin's theorem to show that a matrix is nonsingular

Rate of convergence of Newton's method near a double root.

Linear Algebra - Linear Combinations Question

Proof of an error estimation/inequality for a linear $Ax=b$.

How to find a set of $2k-1$ vectors such that each element of set is an element of $\mathcal{R}$ and any $k$ elements of set are linearly independent?

Understanding iterative methods for solving $Ax=b$ and why they are iterative

Formula for eigenvector corresponding to a simple eigenvalue

How to generate a large PSD matrix $A \in \mathbb{R}^{n \times n}$, where $\mathcal{O}(n) \sim 10^3$

Gram matrices in the Rayleigh-Ritz algorithm

Proof request of $p(A) < 1 \space \text{iff} \space \lim_{k \to \infty} A^k = 0$

Checking a given non-symmetric matrix is positive definite.

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