List questions from condition-number

Published on 08 Dec 2018 - 16:17

595

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What's the different between necessary, sufficient, necessary and sufficient condition?

Published on 18 Dec 2018 - 0:45

514

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Prove that $cond(A)\ge \frac{||A||}{||A-B||}$ for any induced matrix norm

Published on 08 Jan 2019 - 18:54

219

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Is the problem well conditioned or not $x=1-e^p$.

Published on 13 Jan 2019 - 10:35

2k

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Is there any inequality between 2-norm condition number and Frobenius norm condition number for rectangular matrix?

Published on 17 Jan 2019 - 1:45

1.5k

Views

$\infty$-norm of a vector

Published on 19 Jan 2019 - 14:39

415

Views

Schur complement condition number

Published on 16 Mar 2026 - 21:26

337

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Different condition numbers of $\begin{pmatrix} a & b \\ b & c \end{pmatrix}$

Published on 25 Feb 2019 - 2:21

7.3k

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What is a big condition number for a matrix?

Published on 03 Mar 2019 - 16:33

335

Views

Find the relative condition number of $f(x,y) := y e^{4x^2}$ with respect to the 1-norm.

Published on 03 Mar 2019 - 18:15

84

Views

Solution to a modified linear system using two methods

Published on 07 Mar 2019 - 4:28

1.5k

Views

For an orthogonal matrix $Q$, prove $\operatorname{cond}(Q)=1$

Published on 24 Mar 2026 - 23:46

179

Views

Proving an inequality based on condition number.

Published on 10 Mar 2019 - 21:24

837

Views

Condition number of dot product of vectors

Published on 14 Mar 2019 - 12:15

302

Views

Prove the inequality for Condition number of matrix

Published on 15 Mar 2019 - 18:50

List Question

Is division ill-conditioned when divisor is close to zero?

What's the different between necessary, sufficient, necessary and sufficient condition?

Prove that $cond(A)\ge \frac{||A||}{||A-B||}$ for any induced matrix norm

Is the problem well conditioned or not $x=1-e^p$.

Is there any inequality between 2-norm condition number and Frobenius norm condition number for rectangular matrix?

$\infty$-norm of a vector

Schur complement condition number

Different condition numbers of $\begin{pmatrix} a & b \\ b & c \end{pmatrix}$

What is a big condition number for a matrix?

Find the relative condition number of $f(x,y) := y e^{4x^2}$ with respect to the 1-norm.

Solution to a modified linear system using two methods

For an orthogonal matrix $Q$, prove $\operatorname{cond}(Q)=1$

Proving an inequality based on condition number.

Condition number of dot product of vectors

Prove the inequality for Condition number of matrix

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