List questions from numerical-calculus

Published on 11 Aug 2020 - 2:21

198

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In the LU decomposition with pivoting proof $L = PM^{-1}$ is unit lower triangular

Published on 14 Aug 2020 - 13:53

126

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Solving a nonlinear system of equations involving only products of unknowns

Published on 22 Aug 2020 - 0:14

18

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finding the least accurate value from a table (application of finite divided difference formulas sections)

Published on 18 Mar 2026 - 13:37

50

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How to show continuity and monotonicity of a solution to this parametrized equation?

Published on 31 Aug 2020 - 13:40

22

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How do you proceed to demonstrate that c = t (1 + r)?

Published on 18 Sep 2020 - 14:44

51

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Numerically solve an integral equation of the form $f(x)=f(0) - \frac{1}{2} \int_0^x f(x-y) \cdot (1-H(y)^2)\, dy.$

Published on 20 Sep 2020 - 7:58

40

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Could someone explain the convergence analysis step a bit further for Newton's Method $g(x) = 1/x^2 − x/R $

Published on 20 Sep 2020 - 11:21

106

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Robustly dealing with multiple roots in integrals of rational functions

Published on 23 Sep 2020 - 15:32

746

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if A is symmetric positive definite the method JOR (over-relaxation) converges for a condition over $\omega$

Published on 24 Sep 2020 - 22:46

181

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Approximating $\int_1^\infty x^a (x-1)^b e^{cx}dx$

Published on 27 Sep 2020 - 9:58

468

Views

Specific numerical scheme does not converge

Published on 28 Sep 2020 - 9:41

191

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Decomposing a numerical Vector Field

Published on 30 Sep 2020 - 14:35

109

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Let $A$ be symmetric and positive definite. Suppose $A=LL^T$ is its Cholesky decomposition. Prove that $||A||_2=||L||_2^2$.

Published on 25 Mar 2026 - 16:13

172

Views

How to go about computing the maximum roundoff error?

Published on 05 Oct 2020 - 22:44

List Question

False Position Method

In the LU decomposition with pivoting proof $L = PM^{-1}$ is unit lower triangular

Solving a nonlinear system of equations involving only products of unknowns

finding the least accurate value from a table (application of finite divided difference formulas sections)

How to show continuity and monotonicity of a solution to this parametrized equation?

How do you proceed to demonstrate that c = t (1 + r)?

Numerically solve an integral equation of the form $f(x)=f(0) - \frac{1}{2} \int_0^x f(x-y) \cdot (1-H(y)^2)\, dy.$

Could someone explain the convergence analysis step a bit further for Newton's Method $g(x) = 1/x^2 − x/R $

Robustly dealing with multiple roots in integrals of rational functions

if A is symmetric positive definite the method JOR (over-relaxation) converges for a condition over $\omega$

Approximating $\int_1^\infty x^a (x-1)^b e^{cx}dx$

Specific numerical scheme does not converge

Decomposing a numerical Vector Field

Let $A$ be symmetric and positive definite. Suppose $A=LL^T$ is its Cholesky decomposition. Prove that $||A||_2=||L||_2^2$.

How to go about computing the maximum roundoff error?

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