List questions from numerical-methods

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Checking for rational numbers with small denominators in an interval

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Determine rate of convergence for $a_n=b(1-\sqrt{3})^n$, where $b \in \mathbb{R}$

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How can I derive the dense output of ode45?

Published on 20 Apr 2026 - 12:22

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Prove that for each $n$, the Hilbert matrix $A$ is positive definite

Published on 13 Apr 2026 - 17:22

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Prove that the induced matrix norm $||A||_{\infty}$ is equal to its maximum absolute row sum.

Published on 17 Apr 2026 - 6:17

33

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symmetric posititve definite matrix

Published on 10 Apr 2026 - 20:38

277

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perturbation inverse matrix power series

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Connected Dirichlet and Neumann conditions

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Best (fastest) method for root finding of 6th degree polynomial

Published on 08 Apr 2026 - 17:10

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Global Truncation Error w/ Taylor Series Method

Published on 10 Apr 2026 - 12:45

292

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Express the DUAL norm in terms of a Matrix

Published on 11 Apr 2026 - 4:25

478

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Computing Airy functions through their Taylor series

Published on 11 Apr 2026 - 16:59

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Show that $\frac{||x-x^||}{||{x}||} \leq k(A) \frac{||r||}{||b||}$ where $k(A)$ is the condition number of $A$ and $r=b-Ax^$ is the residual vector

Published on 14 Apr 2026 - 19:12

76

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Reference for solutions to singular integrals

Published on 10 Apr 2026 - 17:49

List Question

Satisfying a specified accuracy in a numerical method

Checking for rational numbers with small denominators in an interval

Determine rate of convergence for $a_n=b(1-\sqrt{3})^n$, where $b \in \mathbb{R}$

How can I derive the dense output of ode45?

Prove that for each $n$, the Hilbert matrix $A$ is positive definite

Prove that the induced matrix norm $||A||_{\infty}$ is equal to its maximum absolute row sum.

symmetric posititve definite matrix

perturbation inverse matrix power series

Connected Dirichlet and Neumann conditions

Best (fastest) method for root finding of 6th degree polynomial

Global Truncation Error w/ Taylor Series Method

Express the DUAL norm in terms of a Matrix

Computing Airy functions through their Taylor series

Show that $\frac{||x-x^||}{||{x}||} \leq k(A) \frac{||r||}{||b||}$ where $k(A)$ is the condition number of $A$ and $r=b-Ax^$ is the residual vector

Reference for solutions to singular integrals

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