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

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#numerical-methods #arithmetic #condition-number
596
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What's the different between necessary, sufficient, necessary and sufficient condition?

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#real-numbers #conditional-expectation #absolute-value #conditional-probability #condition-number
515
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Prove that $cond(A)\ge \frac{||A||}{||A-B||}$ for any induced matrix norm

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#matrices #normed-spaces #condition-number #matrix-norms
220
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Is the problem well conditioned or not $x=1-e^p$.

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#proof-verification #numerical-methods #condition-number
2k
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Is there any inequality between 2-norm condition number and Frobenius norm condition number for rectangular matrix?

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#linear-algebra #matrices #inequality #condition-number #matrix-analysis
1.5k
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$\infty$-norm of a vector

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#linear-algebra #normed-spaces #jacobian #condition-number
424
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Schur complement condition number

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#linear-algebra #matrices #numerical-linear-algebra #condition-number #schur-complement
338
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Different condition numbers of $\begin{pmatrix} a & b \\ b & c \end{pmatrix}$

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#numerical-methods #numerical-linear-algebra #condition-number
7.3k
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What is a big condition number for a matrix?

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#matrices #inverse #numerical-linear-algebra #condition-number
336
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Find the relative condition number of $f(x,y) := y e^{4x^2}$ with respect to the 1-norm.

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#numerical-methods #numerical-linear-algebra #condition-number
85
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Solution to a modified linear system using two methods

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#linear-algebra #systems-of-equations #inverse #condition-number
1.5k
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For an orthogonal matrix $Q$, prove $\operatorname{cond}(Q)=1$

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#matrices #orthogonal-matrices #condition-number #spectral-norm
180
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Proving an inequality based on condition number.

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#linear-algebra #inequality #normed-spaces #numerical-linear-algebra #condition-number
841
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Condition number of dot product of vectors

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#numerical-linear-algebra #condition-number
303
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Prove the inequality for Condition number of matrix

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#matrices #condition-number

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