Le 27/05/2018 à 23:49, Rafael Guerra a écrit :
You guys may have missed the paper sent before on the algebra of empty
matrices by Carl de Boor (Emeritus Professor in Mathematics and
Computer Science), so I am sending it again:
https://pdfs.semanticscholar.org/0f3b/c36f19d5c6a761c19fbc3c4ebde2f31b0a10.pdf
He argues that the condition number of the square empty matrix [] = 0
and its det([]) = 1
No no, i did not miss it. His argument is that norm([]) is 0:
/Any norm of an empty matrix is zero, as the supremum of the empty set
of nonnegative numbers. This implies that the condition number of the
square empty matrix [] is 0./
This does not prevent asking to Philippe why he proposes 1, noticeably
if he also considers that norm([])==0, or not.
The De Boor argument "/as the supremum of the empty set of nonnegative
numbers."/ is not clear to me./
/Is it clear for you? Would you have a second convergent independent
reference?
Samuel
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