Dear gretl folks greetings from Paris !
A quick reaction to Sven's mail about Sir Roger Penrose, one of the co-authors of the
Moore-Penrose generalized inverse, or pseudo inverse.
A few words on it on the great mathematica encyclopedia:
https://mathworld.wolfram.com/Moore-PenroseMatrixInverse.html
Roger Penrose is a great mathematician and theoretical physicist. I think he found the
pseudo inverse at a time where computaiton power was at a premium and physicists had to
deploy a lot of ingenuity to analyze the spectrum of particle experiments in the context
of the Standard Model of particle physics. At the time of the paper by Penrose (1955), was
ahead of the discovery of the quark (Murray Gellman, 1964 if I remember well).
Interestingly, generalized inverses slowly made their way into statistics and econometrics
in the 1970s, at least in french manuals where every authors displayed pseudo inverses in
the late 1970s.
Roger Penrose wrote great books for the mathematically informed reader, dismissing the
inverse squared law of editors stating that every equation divides sales par 2. Penrose
non fictions essays display in the hundreds and still sale very well. His point is that
even if you dont understand anything to the equation seeing it or reading brings you
something however small !
Penrose is also known as a mathematician who contributed among many other things to the
typology of euclidiean and non euclidean tessellations. He his famous for this famous
Penrose kite tesselation (one of the 15 non periodic tessalations of the eucledean plane).
He also invented to very strange and mysterious birdtrack diagrammatic notation of tensors
still very useful and unsurpassed in physics:
https://en.wikipedia.org/wiki/Penrose_graphical_notation
It could be used for group theory and even perhaps some econometric work.
A very interesting and creative physicist.
All the best folks, regards.
Franck.
-------- Message original --------
Sujet: [Gretl-users] Penrose
Date: Jeudi 8 Octobre 2020 14:58 CEST
De: Sven Schreiber <svetosch(a)gmx.net>
Répondre à: Gretl list <gretl-users(a)gretlml.univpm.it>
Pour: gretl-users(a)gretlml.univpm.it
Hi everybody,
-slightly offtopic-
so I've learned this week that the Penrose from the Moore-Penrose
inverse is actually a physicist (as he received the Nobel prize).
In a perhaps completely unnecessary move I just wanted to point out that
we have that in hansl, namely the ginv() function which computes the
generalized inverse (aimed at singular matrices). This is of course
nothing spectacular but a standard function for matrix-oriented
software, but still I found it interesting that he is still alive, for
example.
cheers
sven
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