csss

UK

Final year student in applied mathematics.

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awarded Popular Question
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awarded Yearling
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asked When to use and $L^2(\partial \Omega)$ norm and when to use a Sobolev norm $H^{\pm 1/2}(\partial \Omega)$?
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comment Why are the round-off errors when solving the linear system $Ax = b$ of order $\varepsilon_\text{mach} x_j$?
Very nice answer thanks! Can you recommend and books or papers that cover this type of material, i.e., implications of machine precision on solving $Ax=b$ type systems?
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awarded Scholar
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accepted Why are the round-off errors when solving the linear system $Ax = b$ of order $\varepsilon_\text{mach} x_j$?
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awarded Student
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revised Why are the round-off errors when solving the linear system $Ax = b$ of order $\varepsilon_\text{mach} x_j$?
added 361 characters in body
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asked Why are the round-off errors when solving the linear system $Ax = b$ of order $\varepsilon_\text{mach} x_j$?
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awarded Autobiographer
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awarded Nice Question
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awarded Popular Question
2018
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awarded Yearling
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awarded Yearling
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awarded Famous Question
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awarded Popular Question
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comment Every invertible matrix can be written as a finite composition of elementary matrices with real eigenvalues?
But invertible matrices correspond directly to automorphism, do they not? - proofwiki.org/wiki/… - how can the statement be correct for automorphisms of $\mathbb{R}^n$ but not for invertible $n\times n$ matrices if these are equivalent?
Oct
30
comment $F(y) = F(x)$ for aribtrary continuous linear functional $F$, then by Hahn-Banach $y=x$?
You say we assumed that $x \neq y$. I don't see how arriving at $F(x) \neq F(y)$ contradicts that original assumption?
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